• Get started
  • Pre-Algebra

A quicker path to better grades

We have gathered all your curriculum-based courses, assignments, hints, tests, and solutions in one easy-to-use place

evaluate homework and practice answers algebra 2 module 1

  • Integrated I
  • Integrated II
  • Integrated III

More math. Less studying

A personal private tutor for each student. Free from preassure and study anxiety.

evaluate homework and practice answers algebra 2 module 1

  • Find your textbook
  • Math Solver

evaluate homework and practice answers algebra 2 module 1

  • Big Ideas Math Algebra 2, Virginia Edition, 2019

evaluate homework and practice answers algebra 2 module 1

  • Big Ideas Math Algebra 2, 2014

evaluate homework and practice answers algebra 2 module 1

  • Big Ideas Math Algebra 2 Texas

evaluate homework and practice answers algebra 2 module 1

  • Big Ideas Math Algebra 2 A Bridge to Success

evaluate homework and practice answers algebra 2 module 1

  • Core Connections Algebra 2, 2013

evaluate homework and practice answers algebra 2 module 1

  • Houghton Mifflin Harcourt Algebra 2, 2015

evaluate homework and practice answers algebra 2 module 1

  • McGraw Hill Glencoe Algebra 2, 2012

evaluate homework and practice answers algebra 2 module 1

  • McGraw Hill Glencoe Algebra 2 Texas, 2016

evaluate homework and practice answers algebra 2 module 1

  • McGraw Hill Glencoe Algebra 2, 2017

evaluate homework and practice answers algebra 2 module 1

  • Pearson Algebra 2 Common Core, 2011

evaluate homework and practice answers algebra 2 module 1

  • Pearson Algebra 2 Common Core, 2013

Free Printable Math Worksheets for Algebra 2

Created with infinite algebra 2, stop searching. create the worksheets you need with infinite algebra 2..

  • Fast and easy to use
  • Multiple-choice & free-response
  • Never runs out of questions
  • Multiple-version printing

Free 14-Day Trial

  • Order of operations
  • Evaluating expressions
  • Simplifying algebraic expressions
  • Multi-step equations
  • Work word problems
  • Distance-rate-time word problems
  • Mixture word problems
  • Absolute value equations
  • Multi-step inequalities
  • Compound inequalities
  • Absolute value inequalities
  • Discrete relations
  • Continuous relations
  • Evaluating and graphing functions
  • Review of linear equations
  • Graphing absolute value functions
  • Graphing linear inequalities
  • Direct and inverse variation
  • Systems of two linear inequalities
  • Systems of two equations
  • Systems of two equations, word problems
  • Points in three dimensions
  • Systems of three equations, elimination
  • Systems of three equations, substitution
  • Basic matrix operations
  • Matrix multiplication
  • All matrix operations combined
  • Matrix inverses
  • Geometric transformations with matrices
  • Operations with complex numbers
  • Properties of complex numbers
  • Rationalizing imaginary denominators
  • Properties of parabolas
  • Vertex form
  • Graphing quadratic inequalities
  • Factoring quadratic expressions
  • Solving quadratic equations w/ square roots
  • Solving quadratic equations by factoring
  • Completing the square
  • Solving equations by completing the square
  • Solving equations with the quadratic formula
  • The discriminant
  • Naming and simple operations
  • Factoring a sum/difference of cubes
  • Factoring by grouping
  • Factoring quadratic form
  • Factoring using all techniques
  • Factors and Zeros
  • The Remainder Theorem
  • Irrational and Imaginary Root Theorems
  • Descartes' Rule of Signs
  • More on factors, zeros, and dividing
  • The Rational Root Theorem
  • Polynomial equations
  • Basic shape of graphs of polynomials
  • Graphing polynomial functions
  • The Binomial Theorem
  • Evaluating functions
  • Function operations
  • Inverse functions
  • Simplifying radicals
  • Operations with radical expressions
  • Dividing radical expressions
  • Radicals and rational exponents
  • Simplifying rational exponents
  • Square root equations
  • Rational exponent equations
  • Graphing radicals
  • Graphing & properties of parabolas
  • Equations of parabolas
  • Graphing & properties of circles
  • Equations of circles
  • Graphing & properties of ellipses
  • Equations of ellipses
  • Graphing & properties of hyperbolas
  • Equations of hyperbolas
  • Classifying conic sections
  • Eccentricity
  • Systems of quadratic equations
  • Graphing simple rational functions
  • Graphing general rational functions
  • Simplifying rational expressions
  • Multiplying / dividing rational expressions
  • Adding / subtracting rational expressions
  • Complex fractions
  • Solving rational equations
  • The meaning of logarithms
  • Properties of logarithms
  • The change of base formula
  • Writing logs in terms of others
  • Logarithmic equations
  • Inverse functions and logarithms
  • Exponential equations not requiring logarithms
  • Exponential equations requiring logarithms
  • Graphing logarithms
  • Graphing exponential functions
  • Discrete exponential growth and decay word problems
  • Continuous exponential growth and decay word problems
  • General sequences
  • Arithmetic sequences
  • Geometric sequences
  • Comparing Arithmetic/Geometric Sequences
  • General series
  • Arithmetic series
  • Arithmetic/Geometric Means w/ Sequences
  • Finite geometric series
  • Infinite geometric series
  • Right triangle trig: Evaluating ratios
  • Right triangle trig: Missing sides/angles
  • Angles and angle measure
  • Co-terminal angles and reference angles
  • Arc length and sector area
  • Trig ratios of general angles
  • Exact trig ratios of important angles
  • The Law of Sines
  • The Law of Cosines
  • Graphing trig functions
  • Translating trig functions
  • Angle Sum/Difference Identities
  • Double-/Half-Angle Identities
  • Sample spaces and The Counting Principle
  • Independent and dependent events
  • Mutualy exclusive events
  • Permutations
  • Combinations
  • Permutations vs combinations
  • Probability using permutations and combinations

Mathwarehouse Logo

Algebra 2 Worksheets with answer keys

Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

  • Absolute Value Equations
  • Simplify Imaginary Numbers
  • Adding and Subtracting Complex Numbers
  • Multiplying Complex Numbers
  • Dividing Complex Numbers
  • Dividing Complex Number (advanced)
  • End of Unit, Review Sheet
  • Exponential Growth (no answer key on this one, sorry)
  • Compound Interest Worksheet #1 (no logs)
  • Compound Interest Worksheet (logarithms required)
  • Simplify Rational Exponents
  • Solve Equations with Rational Exponents
  • Solve Equations with variables in Exponents
  • Factor by Grouping
  • 1 to 1 functions
  • Evaluating Functions
  • Composition of Functions
  • Inverse Functions
  • Operations with Functions
  • Functions Review Worksheet
  • Product Rule of Logarithms
  • Power Rule of Logarithms
  • Quotient Rule of Logarithms
  • Logarithmic Equations Worksheet
  • Dividing Polynomials Worksheet
  • Solve Quadratic Equations by Factoring
  • Solve Quadratic Equations by Completing the Square
  • Quadratic formula Worksheet (real solutions)
  • Quadratic Formula Worksheet (complex solutions)
  • Quadratic Formula Worksheet (both real and complex solutions)
  • Discriminant Worksheet
  • Sum and Product of Roots
  • Radical Equations
  • Rationalizing the Denominator
  • Simplify Rational Expressions Worksheet
  • Dividing Rational Expressions
  • Multiplying Rational Expressions
  • Adding and Subtracting Rational Expressions (with like denominators)
  • Adding and Subtracting Ratioal Expressions with Unlike Denominators
  • Mixed Review on Rational Expressions

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

Popular pages @ mathwarehouse.com.

Surface area of a Cylinder

  • Introduction to Prerequisites
  • 1.1 Real Numbers: Algebra Essentials
  • 1.2 Exponents and Scientific Notation
  • 1.3 Radicals and Rational Exponents
  • 1.4 Polynomials
  • 1.5 Factoring Polynomials
  • 1.6 Rational Expressions
  • Key Equations
  • Key Concepts

Review Exercises

Practice test.

  • Introduction to Equations and Inequalities

2.1 The Rectangular Coordinate Systems and Graphs

2.2 linear equations in one variable, 2.3 models and applications, 2.4 complex numbers, 2.5 quadratic equations, 2.6 other types of equations, 2.7 linear inequalities and absolute value inequalities.

  • Introduction to Functions
  • 3.1 Functions and Function Notation
  • 3.2 Domain and Range
  • 3.3 Rates of Change and Behavior of Graphs
  • 3.4 Composition of Functions
  • 3.5 Transformation of Functions
  • 3.6 Absolute Value Functions
  • 3.7 Inverse Functions
  • Introduction to Linear Functions
  • 4.1 Linear Functions
  • 4.2 Modeling with Linear Functions
  • 4.3 Fitting Linear Models to Data
  • Introduction to Polynomial and Rational Functions
  • 5.1 Quadratic Functions
  • 5.2 Power Functions and Polynomial Functions
  • 5.3 Graphs of Polynomial Functions
  • 5.4 Dividing Polynomials
  • 5.5 Zeros of Polynomial Functions
  • 5.6 Rational Functions
  • 5.7 Inverses and Radical Functions
  • 5.8 Modeling Using Variation
  • Introduction to Exponential and Logarithmic Functions
  • 6.1 Exponential Functions
  • 6.2 Graphs of Exponential Functions
  • 6.3 Logarithmic Functions
  • 6.4 Graphs of Logarithmic Functions
  • 6.5 Logarithmic Properties
  • 6.6 Exponential and Logarithmic Equations
  • 6.7 Exponential and Logarithmic Models
  • 6.8 Fitting Exponential Models to Data
  • Introduction to Systems of Equations and Inequalities
  • 7.1 Systems of Linear Equations: Two Variables
  • 7.2 Systems of Linear Equations: Three Variables
  • 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
  • 7.4 Partial Fractions
  • 7.5 Matrices and Matrix Operations
  • 7.6 Solving Systems with Gaussian Elimination
  • 7.7 Solving Systems with Inverses
  • 7.8 Solving Systems with Cramer's Rule
  • Introduction to Analytic Geometry
  • 8.1 The Ellipse
  • 8.2 The Hyperbola
  • 8.3 The Parabola
  • 8.4 Rotation of Axes
  • 8.5 Conic Sections in Polar Coordinates
  • Introduction to Sequences, Probability and Counting Theory
  • 9.1 Sequences and Their Notations
  • 9.2 Arithmetic Sequences
  • 9.3 Geometric Sequences
  • 9.4 Series and Their Notations
  • 9.5 Counting Principles
  • 9.6 Binomial Theorem
  • 9.7 Probability

x -intercept is ( 4 , 0 ) ; ( 4 , 0 ) ; y- intercept is ( 0 , 3 ) . ( 0 , 3 ) .

125 = 5 5 125 = 5 5

( − 5 , 5 2 ) ( − 5 , 5 2 )

x = −5 x = −5

x = −3 x = −3

x = 10 3 x = 10 3

x = 1 x = 1

x = − 7 17 . x = − 7 17 . Excluded values are x = − 1 2 x = − 1 2 and x = − 1 3 . x = − 1 3 .

x = 1 3 x = 1 3

m = − 2 3 m = − 2 3

y = 4 x −3 y = 4 x −3

x + 3 y = 2 x + 3 y = 2

Horizontal line: y = 2 y = 2

Parallel lines: equations are written in slope-intercept form.

y = 5 x + 3 y = 5 x + 3

C = 2.5 x + 3 , 650 C = 2.5 x + 3 , 650

L = 37 L = 37 cm, W = 18 W = 18 cm

−24 = 0 + 2 i 6 −24 = 0 + 2 i 6

( 3 −4 i ) − ( 2 + 5 i ) = 1 −9 i ( 3 −4 i ) − ( 2 + 5 i ) = 1 −9 i

5 2 − i 5 2 − i

18 + i 18 + i

−3 −4 i −3 −4 i

( x − 6 ) ( x + 1 ) = 0 ; x = 6 , x = − 1 ( x − 6 ) ( x + 1 ) = 0 ; x = 6 , x = − 1

( x −7 ) ( x + 3 ) = 0 , ( x −7 ) ( x + 3 ) = 0 , x = 7 , x = 7 , x = −3. x = −3.

( x + 5 ) ( x −5 ) = 0 , ( x + 5 ) ( x −5 ) = 0 , x = −5 , x = −5 , x = 5. x = 5.

( 3 x + 2 ) ( 4 x + 1 ) = 0 , ( 3 x + 2 ) ( 4 x + 1 ) = 0 , x = − 2 3 , x = − 2 3 , x = − 1 4 x = − 1 4

x = 0 , x = −10 , x = −1 x = 0 , x = −10 , x = −1

x = 4 ± 5 x = 4 ± 5

x = 3 ± 22 x = 3 ± 22

x = − 2 3 , x = − 2 3 , x = 1 3 x = 1 3

{ −1 } { −1 }

0 , 0 , 1 2 , 1 2 , − 1 2 − 1 2

1 ; 1 ; extraneous solution − 2 9 − 2 9

−2 ; −2 ; extraneous solution −1 −1

−1 , −1 , 3 2 3 2

−3 , 3 , − i , i −3 , 3 , − i , i

2 , 12 2 , 12

−1 , −1 , 0 0 is not a solution.

[ −3 , 5 ] [ −3 , 5 ]

( − ∞ , −2 ) ∪ [ 3 , ∞ ) ( − ∞ , −2 ) ∪ [ 3 , ∞ )

x < 1 x < 1

x ≥ −5 x ≥ −5

( 2 , ∞ ) ( 2 , ∞ )

[ − 3 14 , ∞ ) [ − 3 14 , ∞ )

6 < x ≤ 9 ​ or ( 6 , 9 ] 6 < x ≤ 9 ​ or ( 6 , 9 ]

( − 1 8 , 1 2 ) ( − 1 8 , 1 2 )

| x −2 | ≤ 3 | x −2 | ≤ 3

k ≤ 1 k ≤ 1 or k ≥ 7 ; k ≥ 7 ; in interval notation, this would be ( − ∞ , 1 ] ∪ [ 7 , ∞ ) . ( − ∞ , 1 ] ∪ [ 7 , ∞ ) .

2.1 Section Exercises

Answers may vary. Yes. It is possible for a point to be on the x -axis or on the y -axis and therefore is considered to NOT be in one of the quadrants.

The y -intercept is the point where the graph crosses the y -axis.

The x- intercept is ( 2 , 0 ) ( 2 , 0 ) and the y -intercept is ( 0 , 6 ) . ( 0 , 6 ) .

The x- intercept is ( 2 , 0 ) ( 2 , 0 ) and the y -intercept is ( 0 , −3 ) . ( 0 , −3 ) .

The x- intercept is ( 3 , 0 ) ( 3 , 0 ) and the y -intercept is ( 0 , 9 8 ) . ( 0 , 9 8 ) .

y = 4 − 2 x y = 4 − 2 x

y = 5 − 2 x 3 y = 5 − 2 x 3

y = 2 x − 4 5 y = 2 x − 4 5

d = 74 d = 74

d = 36 = 6 d = 36 = 6

d ≈ 62.97 d ≈ 62.97

( 3 , − 3 2 ) ( 3 , − 3 2 )

( 2 , −1 ) ( 2 , −1 )

( 0 , 0 ) ( 0 , 0 )

y = 0 y = 0

not collinear

A: ( −3 , 2 ) , B: ( 1 , 3 ) , C: ( 4 , 0 ) A: ( −3 , 2 ) , B: ( 1 , 3 ) , C: ( 4 , 0 )

d = 8.246 d = 8.246

d = 5 d = 5

( −3 , 4 ) ( −3 , 4 )

x = 0          y = −2 x = 0          y = −2

x = 0.75 y = 0 x = 0.75 y = 0

x = − 1.667 y = 0 x = − 1.667 y = 0

15 − 11.2 = 3.8 mi 15 − 11.2 = 3.8 mi shorter

6 .0 42 6 .0 42

Midpoint of each diagonal is the same point ( 2 , –2 ) ( 2 , –2 ) . Note this is a characteristic of rectangles, but not other quadrilaterals.

2.2 Section Exercises

It means they have the same slope.

The exponent of the x x variable is 1. It is called a first-degree equation.

If we insert either value into the equation, they make an expression in the equation undefined (zero in the denominator).

x = 2 x = 2

x = 2 7 x = 2 7

x = 6 x = 6

x = 3 x = 3

x = −14 x = −14

x ≠ −4 ; x ≠ −4 ; x = −3 x = −3

x ≠ 1 ; x ≠ 1 ; when we solve this we get x = 1 , x = 1 , which is excluded, therefore NO solution

x ≠ 0 ; x ≠ 0 ; x = − 5 2 x = − 5 2

y = − 4 5 x + 14 5 y = − 4 5 x + 14 5

y = − 3 4 x + 2 y = − 3 4 x + 2

y = 1 2 x + 5 2 y = 1 2 x + 5 2

y = −3 x − 5 y = −3 x − 5

y = 7 y = 7

y = −4 y = −4

8 x + 5 y = 7 8 x + 5 y = 7

Perpendicular

m = − 9 7 m = − 9 7

m = 3 2 m = 3 2

m 1 = − 1 3 ,   m 2 = 3 ;   Perpendicular . m 1 = − 1 3 ,   m 2 = 3 ;   Perpendicular .

y = 0.245 x − 45.662. y = 0.245 x − 45.662. Answers may vary. y min = −50 , y max = −40 y min = −50 , y max = −40

y = − 2.333 x + 6.667. y = − 2.333 x + 6.667. Answers may vary. y min = −10 ,   y max = 10 y min = −10 ,   y max = 10

y = − A B x + C B y = − A B x + C B

The slope for  ( −1 , 1 ) to  ( 0 , 4 ) is  3. The slope for  ( −1 , 1 ) to  ( 2 , 0 ) is  − 1 3 . The slope for  ( 2 , 0 ) to  ( 3 , 3 ) is  3. The slope for  ( 0 , 4 ) to  ( 3 , 3 ) is  − 1 3 . The slope for  ( −1 , 1 ) to  ( 0 , 4 ) is  3. The slope for  ( −1 , 1 ) to  ( 2 , 0 ) is  − 1 3 . The slope for  ( 2 , 0 ) to  ( 3 , 3 ) is  3. The slope for  ( 0 , 4 ) to  ( 3 , 3 ) is  − 1 3 .

Yes they are perpendicular.

2.3 Section Exercises

Answers may vary. Possible answers: We should define in words what our variable is representing. We should declare the variable. A heading.

2 , 000 − x 2 , 000 − x

v + 10 v + 10

Ann: 23 ; 23 ; Beth: 46 46

20 + 0.05 m 20 + 0.05 m

90 + 40 P 90 + 40 P

50 , 000 − x 50 , 000 − x

She traveled for 2 h at 20 mi/h, or 40 miles.

$5,000 at 8% and $15,000 at 12%

B = 100 + .05 x B = 100 + .05 x

R = 9 R = 9

r = 4 5 r = 4 5 or 0.8

W = P − 2 L 2 = 58 − 2 ( 15 ) 2 = 14 W = P − 2 L 2 = 58 − 2 ( 15 ) 2 = 14

f = p q p + q = 8 ( 13 ) 8 + 13 = 104 21 f = p q p + q = 8 ( 13 ) 8 + 13 = 104 21

m = − 5 4 m = − 5 4

h = 2 A b 1 + b 2 h = 2 A b 1 + b 2

length = 360 ft; width = 160 ft

A = 88 in . 2 A = 88 in . 2

h = V π r 2 h = V π r 2

r = V π h r = V π h

C = 12 π C = 12 π

2.4 Section Exercises

Add the real parts together and the imaginary parts together.

Possible answer: i i times i i equals -1, which is not imaginary.

−8 + 2 i −8 + 2 i

14 + 7 i 14 + 7 i

− 23 29 + 15 29 i − 23 29 + 15 29 i

8 − i 8 − i

−11 + 4 i −11 + 4 i

2 −5 i 2 −5 i

6 + 15 i 6 + 15 i

−16 + 32 i −16 + 32 i

−4 −7 i −4 −7 i

2 − 2 3 i 2 − 2 3 i

4 − 6 i 4 − 6 i

2 5 + 11 5 i 2 5 + 11 5 i

1 + i 3 1 + i 3

( 3 2 + 1 2 i ) 6 = −1 ( 3 2 + 1 2 i ) 6 = −1

5 −5 i 5 −5 i

9 2 − 9 2 i 9 2 − 9 2 i

2.5 Section Exercises

It is a second-degree equation (the highest variable exponent is 2).

We want to take advantage of the zero property of multiplication in the fact that if a ⋅ b = 0 a ⋅ b = 0 then it must follow that each factor separately offers a solution to the product being zero: a = 0 o r b = 0. a = 0 o r b = 0.

One, when no linear term is present (no x term), such as x 2 = 16. x 2 = 16. Two, when the equation is already in the form ( a x + b ) 2 = d . ( a x + b ) 2 = d .

x = 6 , x = 6 , x = 3 x = 3

x = − 5 2 , x = − 5 2 , x = − 1 3 x = − 1 3

x = 5 , x = 5 , x = −5 x = −5

x = − 3 2 , x = − 3 2 , x = 3 2 x = 3 2

x = −2 , 3 x = −2 , 3

x = 0 , x = 0 , x = − 3 7 x = − 3 7

x = −6 , x = −6 , x = 6 x = 6

x = 6 , x = 6 , x = −4 x = −4

x = 1 , x = 1 , x = −2 x = −2

x = −2 , x = −2 , x = 11 x = 11

z = 2 3 , z = 2 3 , z = − 1 2 z = − 1 2

x = 3 ± 17 4 x = 3 ± 17 4

One rational

Two real; rational

x = − 1 ± 17 2 x = − 1 ± 17 2

x = 5 ± 13 6 x = 5 ± 13 6

x = − 1 ± 17 8 x = − 1 ± 17 8

x ≈ 0.131 x ≈ 0.131 and x ≈ 2.535 x ≈ 2.535

x ≈ − 6.7 x ≈ − 6.7 and x ≈ 1.7 x ≈ 1.7

a x 2 + b x + c = 0 x 2 + b a x = − c a x 2 + b a x + b 2 4 a 2 = − c a + b 4 a 2 ( x + b 2 a ) 2 = b 2 − 4 a c 4 a 2 x + b 2 a = ± b 2 − 4 a c 4 a 2 x = − b ± b 2 − 4 a c 2 a a x 2 + b x + c = 0 x 2 + b a x = − c a x 2 + b a x + b 2 4 a 2 = − c a + b 4 a 2 ( x + b 2 a ) 2 = b 2 − 4 a c 4 a 2 x + b 2 a = ± b 2 − 4 a c 4 a 2 x = − b ± b 2 − 4 a c 2 a

x ( x + 10 ) = 119 ; x ( x + 10 ) = 119 ; 7 ft. and 17 ft.

maximum at x = 70 x = 70

The quadratic equation would be ( 100 x −0.5 x 2 ) − ( 60 x + 300 ) = 300. ( 100 x −0.5 x 2 ) − ( 60 x + 300 ) = 300. The two values of x x are 20 and 60.

2.6 Section Exercises

This is not a solution to the radical equation, it is a value obtained from squaring both sides and thus changing the signs of an equation which has caused it not to be a solution in the original equation.

He or she is probably trying to enter negative 9, but taking the square root of −9 −9 is not a real number. The negative sign is in front of this, so your friend should be taking the square root of 9, cubing it, and then putting the negative sign in front, resulting in −27. −27.

A rational exponent is a fraction: the denominator of the fraction is the root or index number and the numerator is the power to which it is raised.

x = 81 x = 81

x = 17 x = 17

x = 8 ,     x = 27 x = 8 ,     x = 27

x = −2 , 1 , −1 x = −2 , 1 , −1

y = 0 ,     3 2 ,     − 3 2 y = 0 ,     3 2 ,     − 3 2

m = 1 , −1 m = 1 , −1

x = 2 5 , ±3 i x = 2 5 , ±3 i

x = 32 x = 32

t = 44 3 t = 44 3

x = −2 x = −2

x = 4 , −4 3 x = 4 , −4 3

x = − 5 4 , 7 4 x = − 5 4 , 7 4

x = 3 , −2 x = 3 , −2

x = 1 , −1 , 3 , -3 x = 1 , −1 , 3 , -3

x = 2 , −2 x = 2 , −2

x = 1 , 5 x = 1 , 5

x ≥ 0 x ≥ 0

x = 4 , 6 , −6 , −8 x = 4 , 6 , −6 , −8

2.7 Section Exercises

When we divide both sides by a negative it changes the sign of both sides so the sense of the inequality sign changes.

( − ∞ , ∞ ) ( − ∞ , ∞ )

We start by finding the x -intercept, or where the function = 0. Once we have that point, which is ( 3 , 0 ) , ( 3 , 0 ) , we graph to the right the straight line graph y = x −3 , y = x −3 , and then when we draw it to the left we plot positive y values, taking the absolute value of them.

( − ∞ , 3 4 ] ( − ∞ , 3 4 ]

[ − 13 2 , ∞ ) [ − 13 2 , ∞ )

( − ∞ , 3 ) ( − ∞ , 3 )

( − ∞ , − 37 3 ] ( − ∞ , − 37 3 ]

All real numbers ( − ∞ , ∞ ) ( − ∞ , ∞ )

( − ∞ , − 10 3 ) ∪ ( 4 , ∞ ) ( − ∞ , − 10 3 ) ∪ ( 4 , ∞ )

( − ∞ , −4 ] ∪ [ 8 , + ∞ ) ( − ∞ , −4 ] ∪ [ 8 , + ∞ )

No solution

( −5 , 11 ) ( −5 , 11 )

[ 6 , 12 ] [ 6 , 12 ]

[ −10 , 12 ] [ −10 , 12 ]

x > − 6 and x > − 2 Take the intersection of two sets . x > − 2 ,   ( − 2 , + ∞ ) x > − 6 and x > − 2 Take the intersection of two sets . x > − 2 ,   ( − 2 , + ∞ )

x < − 3   or   x ≥ 1 Take the union of the two sets . ( − ∞ , − 3 ) ∪ ​ ​ [ 1 , ∞ ) x < − 3   or   x ≥ 1 Take the union of the two sets . ( − ∞ , − 3 ) ∪ ​ ​ [ 1 , ∞ )

( − ∞ , −1 ) ∪ ( 3 , ∞ ) ( − ∞ , −1 ) ∪ ( 3 , ∞ )

[ −11 , −3 ] [ −11 , −3 ]

It is never less than zero. No solution.

Where the blue line is above the orange line; point of intersection is x = − 3. x = − 3.

( − ∞ , −3 ) ( − ∞ , −3 )

Where the blue line is above the orange line; always. All real numbers.

( − ∞ , − ∞ ) ( − ∞ , − ∞ )

( −1 , 3 ) ( −1 , 3 )

( − ∞ , 4 ) ( − ∞ , 4 )

{ x | x < 6 } { x | x < 6 }

{ x | −3 ≤ x < 5 } { x | −3 ≤ x < 5 }

( −2 , 1 ] ( −2 , 1 ]

( − ∞ , 4 ] ( − ∞ , 4 ]

Where the blue is below the orange; always. All real numbers. ( − ∞ , + ∞ ) . ( − ∞ , + ∞ ) .

Where the blue is below the orange; ( 1 , 7 ) . ( 1 , 7 ) .

x = 2 , − 4 5 x = 2 , − 4 5

( −7 , 5 ] ( −7 , 5 ]

80 ≤ T ≤ 120 1 , 600 ≤ 20 T ≤ 2 , 400 80 ≤ T ≤ 120 1 , 600 ≤ 20 T ≤ 2 , 400

[ 1 , 600 , 2 , 400 ] [ 1 , 600 , 2 , 400 ]

x -intercept: ( 3 , 0 ) ; ( 3 , 0 ) ; y -intercept: ( 0 , −4 ) ( 0 , −4 )

y = 5 3 x + 4 y = 5 3 x + 4

72 = 6 2 72 = 6 2

620.097 620.097

midpoint is ( 2 , 23 2 ) ( 2 , 23 2 )

x = 4 x = 4

x = 12 7 x = 12 7

y = 1 6 x + 4 3 y = 1 6 x + 4 3

y = 2 3 x + 6 y = 2 3 x + 6

females 17, males 56

x = − 3 4 ± i 47 4 x = − 3 4 ± i 47 4

horizontal component −2 ; −2 ; vertical component −1 −1

7 + 11 i 7 + 11 i

−16 − 30 i −16 − 30 i

−4 − i 10 −4 − i 10

x = 7 − 3 i x = 7 − 3 i

x = −1 , −5 x = −1 , −5

x = 0 , 9 7 x = 0 , 9 7

x = 10 , −2 x = 10 , −2

x = − 1 ± 5 4 x = − 1 ± 5 4

x = 2 5 , − 1 3 x = 2 5 , − 1 3

x = 5 ± 2 7 x = 5 ± 2 7

x = 0 , 256 x = 0 , 256

x = 0 , ± 2 x = 0 , ± 2

x = 11 2 , −17 2 x = 11 2 , −17 2

[ − 10 3 , 2 ] [ − 10 3 , 2 ]

( − 4 3 , 1 5 ) ( − 4 3 , 1 5 )

Where the blue is below the orange line; point of intersection is x = 3.5. x = 3.5.

( 3.5 , ∞ ) ( 3.5 , ∞ )

y = 3 2 x + 2 y = 3 2 x + 2

( 0 , −3 ) ( 0 , −3 ) ( 4 , 0 ) ( 4 , 0 )

( − ∞ , 9 ] ( − ∞ , 9 ]

x = −15 x = −15

x ≠ −4 , 2 ; x ≠ −4 , 2 ; x = − 5 2 , 1 x = − 5 2 , 1

x = 3 ± 3 2 x = 3 ± 3 2

( −4 , 1 ) ( −4 , 1 )

y = −5 9 x − 2 9 y = −5 9 x − 2 9

y = 5 2 x − 4 y = 5 2 x − 4

5 13 − 14 13 i 5 13 − 14 13 i

x = 2 , − 4 3 x = 2 , − 4 3

x = 1 2 ± 2 2 x = 1 2 ± 2 2

x = 1 2 , 2 , −2 x = 1 2 , 2 , −2

As an Amazon Associate we earn from qualifying purchases.

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Access for free at https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites
  • Authors: Jay Abramson
  • Publisher/website: OpenStax
  • Book title: College Algebra
  • Publication date: Feb 13, 2015
  • Location: Houston, Texas
  • Book URL: https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites
  • Section URL: https://openstax.org/books/college-algebra/pages/chapter-2

© Dec 8, 2021 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.

  • For a new problem, you will need to begin a new live expert session.
  • You can contact support with any questions regarding your current subscription.
  • You will be able to enter math problems once our session is over.
  • I am only able to help with one math problem per session. Which problem would you like to work on?
  • Does that make sense?
  • I am currently working on this problem.
  • Are you still there?
  • It appears we may have a connection issue. I will end the session - please reconnect if you still need assistance.
  • Let me take a look...
  • Can you please send an image of the problem you are seeing in your book or homework?
  • If you click on "Tap to view steps..." you will see the steps are now numbered. Which step # do you have a question on?
  • Please make sure you are in the correct subject. To change subjects, please exit out of this live expert session and select the appropriate subject from the menu located in the upper left corner of the Mathway screen.
  • What are you trying to do with this input?
  • While we cover a very wide range of problems, we are currently unable to assist with this specific problem. I spoke with my team and we will make note of this for future training. Is there a different problem you would like further assistance with?
  • Mathway currently does not support this subject. We are more than happy to answer any math specific question you may have about this problem.
  • Mathway currently does not support Ask an Expert Live in Chemistry. If this is what you were looking for, please contact support.
  • Mathway currently only computes linear regressions.
  • We are here to assist you with your math questions. You will need to get assistance from your school if you are having problems entering the answers into your online assignment.
  • Have a great day!
  • Hope that helps!
  • You're welcome!
  • Per our terms of use, Mathway's live experts will not knowingly provide solutions to students while they are taking a test or quiz.

Please ensure that your password is at least 8 characters and contains each of the following:

  • a special character: @$#!%*?&

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

  • Texas Go Math
  • Big Ideas Math
  • Engageny Math
  • McGraw Hill My Math
  • enVision Math
  • 180 Days of Math
  • Math in Focus Answer Key
  • Math Expressions Answer Key
  • Privacy Policy

CCSS Math Answers

Eureka Math Algebra 1 Module 2 Answer Key | Engage NY Math Algebra 1 Module 2 Answer Key

Engageny math algebra 1 module 2 answer key | algebra 1 eureka math module 2 answer key.

Eureka Math Algebra 1 Module 2 Descriptive Statistics

Eureka Math Algebra 1 Module 2 Topic A Shapes and Centers of Distributions

  • Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key

Engage NY Math Algebra 1 Module 2 Topic B Describing Variability and Comparing Distributions

  • Eureka Math Algebra 1 Module 2 Lesson 4 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 5 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 6 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 7 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 8 Answer Key

Eureka Math Algebra 1 Module 2 Mid Module Assessment Answer Key

Algebra 1 Eureka Math Module 2 Topic C Categorical Data on Two Variables

  • Eureka Math Algebra 1 Module 2 Lesson 9 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 10 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 11 Answer Key

EngageNY Algebra 1 Math Module 2 Topic D Numerical Data on Two Variables

  • Eureka Math Algebra 1 Module 2 Lesson 12 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 13 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 14 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 15 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 16 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 17 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 18 Answer Key
  • Eureka Math Algebra 1 Module 2 Lesson 19 Answer Key

Eureka Math Algebra 1 Module 2 End of Module Assessment Answer Key

Leave a Comment Cancel Reply

You must be logged in to post a comment.

IMAGES

  1. Eureka Math Algebra 2 Module 1 Lesson 20 Answer Key

    evaluate homework and practice answers algebra 2 module 1

  2. Envision Algebra 2 Worksheet Answers

    evaluate homework and practice answers algebra 2 module 1

  3. Algebra 2 Module 1 Lesson 3 Video

    evaluate homework and practice answers algebra 2 module 1

  4. Algebra II Module 1, Topic A, Lesson 9: Teacher Version

    evaluate homework and practice answers algebra 2 module 1

  5. Common Core Algebra 2 Module 1 Lesson 18

    evaluate homework and practice answers algebra 2 module 1

  6. Eureka Math Algebra 2 Module 1 Lesson 1 Answer Key

    evaluate homework and practice answers algebra 2 module 1

VIDEO

  1. Algebra 2 Module 1 Lesson 26 Video

  2. OJUSD Eureka Math Grade 5 Module 5 Lesson 6 Page 2

  3. Algebra 2 Module 3 Lesson 3 Video

  4. Algebra 2 Module 1 Lesson 25 Video

  5. Algebra 2 Module 1 Lesson 2 Video

  6. precalculus unit 1 EXTENSION: composite functions (homework solutions)

COMMENTS

  1. Algebra 2, Volume 1

    Chapter 1: Analyzing Functions Page 4: Are You Ready? Section 1.1: Domain, Range, and End Behavior Section 1.2: Characteristics of Function Graphs Section 1.3: Transformations of Function Graphs Section 1.4: Inverses of Functions Page 60: Study Guide Review Page 61: Ready to Go On? Page 62: Module 1 Mixed Review Exercise 1 Exercise 2 Exercise 3

  2. Algebra 2, Volume 2

    Are You Ready? Section 12.1: Sequences and Series Section 12.2: Geometric Sequences Section 12.3: Geometric Series Page 630: Study Guide Review Page 631: Ready to Go On? Page 632: Module 12 Mixed Review Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Chapter 13: Exponential Functions Page 634: Are You Ready? Section 13.1:

  3. Algebra 2: Homework Practice Workbook

    Verified Chapter 1: Chapter 1 Section 1-1: Expressions and Formulas Section 1-2: Properties of Real Numbers Section 1-3: Solving Equations Section 1-4: Solving Absolute Value Equations Section 1-5: Solving Inequalities Section 1-6: Solving Compound and Absolute Value Inequalities Page 1: Skills Practice Page 2: Practice Exercise 1 Exercise 2

  4. Algebra 2 Answers and Solutions 11th grade

    Algebra 2 answers, solutions, and theory for high school math, 10th to 11th grade. Like a math tutor, better than a math calculator or problem solver

  5. Free Printable Math Worksheets for Algebra 2

    Vertex form. Graphing quadratic inequalities. Factoring quadratic expressions. Solving quadratic equations w/ square roots. Solving quadratic equations by factoring. Completing the square. Solving equations by completing the square. Solving equations with the quadratic formula. The discriminant.

  6. Reveal Algebra 2, Volume 1 1st Edition Textbook Solutions

    Step-by-step solution. Step 1 of 2. Objective: Explain how can analyze a function help to understand it models? Step 2 of 2. Analyzing a function means finding domain, range, graph intercepts, symmetry and end behavior, relative maximum, minimum, increasing and decreasing etc. Therefore, to understand the behavior of mathematical model ...

  7. Algebra 2 Worksheets (pdf) with answer keys

    Multiplying Complex Numbers. Dividing Complex Numbers. Dividing Complex Number (advanced) End of Unit, Review Sheet. Exponential Growth (no answer key on this one, sorry) Compound Interest Worksheet #1 (no logs) Compound Interest Worksheet (logarithms required) Exponent Worksheets. Simplify Rational Exponents.

  8. Algebra 2

    Unit 1: Polynomial arithmetic 0/1200 Mastery points Intro to polynomials Average rate of change of polynomials Adding and subtracting polynomials Multiplying monomials by polynomials Multiplying binomials by polynomials Special products of polynomials

  9. Hmh Algebra 2 0th Edition Textbook Solutions

    Use online graphing calculator and follow the below steps to draw the revenue function. Step-1: Substitute the function in the commend window. Step-2: To label the axes with the quantities. Step-3: Indicate the axis scales by showing numbers for some grid lines. Step 12 of 15.

  10. 1.1 Real Numbers: Algebra Essentials

    Any rational number can be represented as either: ⓐ a terminating decimal: 15 8 = 1.875, 15 8 = 1.875, or. ⓑ a repeating decimal: 4 11 = 0.36363636 … = 0. 36 ¯. 4 11 = 0.36363636 … = 0. 36 ¯. We use a line drawn over the repeating block of numbers instead of writing the group multiple times.

  11. Answer Key Chapter 2

    −27. x = 81 x = 17 x = 8, x = 27 x = −2, 1, −1 y = 0, 3 2, −3 2 m = 1, −1 x = 2 5, ±3i x = 32 t = 44 3 x = 3 x = −2 x = 4, −4 3 x = −5 4, 7 4

  12. Texas Algebra 2, Volume 2

    Evaluate: Homework and Practice Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Chapter 10: Rational Expressions and Equations Page 516:

  13. PDF H 2.2 Solving Absolute Value Equations.notebook

    Evaluate: Homework and Practice Solve the following absolute value equations by graphing. 4. — 2) 1+3—2 . Solve the absolute value equations. 13. 13x— 2—1 3 4 5 14. 6 ... 2—1 3) _ 3—2 —1 o o 2 3 2 4 3 5 4 6 5 10. 12. 512x+41—3— 6 . 18. A flock of geese is approaching a photographer, flying in

  14. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations. Mathway. ... We are more than happy to answer any math specific question you may have about this problem. ... You may speak with a member of our customer support team by calling 1-800-876-1799. End of Conversation. Have a great day! Hope that helps ...

  15. Algebra 2 (Eureka Math/EngageNY)

    Algebra 2 (Eureka Math/EngageNY) 4 units · 126 skills. Unit 1 Module 1: Polynomial, rational, and radical relationships. Unit 2 Module 2: Trigonometric functions. Unit 3 Module 3: Exponential and logarithmic functions. Unit 4 Module 4: Inferences and conclusions from data. Course challenge.

  16. Algebra 1

    The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

  17. Algebra 1: Homework Practice Workbook

    Verified Chapter 1: Chapter 1 Section 1.1: Variables and Expressions Section 1.2: Order of Operations Section 1.3: Properties of Numbers Section 1.4: The Distributive Property Section 1.5: Equations Section 1.6: Relations Section 1.7: Functions Section 1.8: Interpreting Graphs of Functions Page 1: Skills Practice Page 2: Practice Exercise 1

  18. Eureka Math Algebra 2 Module 1 Lesson 1 Answer Key

    Give evidence that your equation is correct. Answer: Since third differences of a cubic polynomial are equal to 6a, using the table above, we get 6a = 6, so that a = 1. Also, since (0, 2) satisfies the equation, we see that d = 2. Thus, we need only find b and c. Substituting (1, 1) and (2, 6) into the equation, we get 1 = 1 + b + c + 2

  19. Eureka Math Algebra 2 Module 1 Lesson 4 Answer Key

    Eureka Math Algebra 2 Module 1 Lesson 4 Example Answer Key. Example 1. If x = 10, then the division 1573 ÷ 13 can be represented using polynomial division. Answer: The quotient is x 2 + 2x + 1. The completed board work for this example should look something like this: Example 2. Use the long division algorithm for polynomials to evaluate.

  20. Eureka Math Algebra 2 Module 1 Lesson 8 Answer Key

    Exercise 3. 2 537 - 1 (Hint: 537 is the product of two prime numbers that are both less than 50.) Answer: Using a calculator we see that 537 = 17 ∙ 31, so Thus, 2 17 - 1 is a factor of 2 537 - 1. Exercise 4. How quickly can a computer factor a very large number? How long would It take a computer to factor some squares of very large prime numbers?

  21. Algebra 1, Volume 2

    Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9 Chapter 15: Geometric Seqences and Exponential Functions Section 15.1: Understanding Geometric Sequences Section 15.2: Constructing Geometric Sequences

  22. Algebra 1, Volume 1

    Verified Chapter 1: Quantitative Reasoning Section 1.1: Solving Equations Page 9: Evaluate: Homework and Practice Section 1.2: Modeling Quantities Section 1.3: Reporting with Precision and Accuracy Page 40: Exercises Page 41: Ready to Go On? Page 42: Assessment Readiness Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7

  23. Eureka Math Algebra 1 Module 2 Answer Key

    Eureka Math Algebra 1 Module 2 Lesson 1 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 2 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 3 Answer Key; Engage NY Math Algebra 1 Module 2 Topic B Describing Variability and Comparing Distributions. Eureka Math Algebra 1 Module 2 Lesson 4 Answer Key; Eureka Math Algebra 1 Module 2 Lesson 5 ...