Question 1

Factor completely.
-

Accepted Answer

A)    
B)  Prime 
C)    
D)  (3x - 7)(3x + 7) 
A)    
B)  Prime 
C)    
D)  (3x - 7)(3x + 7)

Question 2

Factor.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Factor.
-

Accepted Answer

A)  (21x + 7y)(4x + y) 
B)  7(3x + y)(4x + y) 
C)  7(3x - y)(4x - y) 
D)  (3x + y)(7x + 3y) 
A)  (21x + 7y)(4x + y) 
B)  7(3x + y)(4x + y) 
C)  7(3x - y)(4x - y) 
D)  (3x + y)(7x + 3y)

Question 4

Solve by factoring and using the principle of zero products.
-

Accepted Answer

A)  3, 2, 3 
B)  -2, -3 
C)  0, 2, 3 
D)  2, 3 
A)  3, 2, 3 
B)  -2, -3 
C)  0, 2, 3 
D)  2, 3

Question 5

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain the difference between a factor and a multiple of a number.

Accepted Answer

A factor is a number in a prod

Question 6

Solve using the principle of zero products.
-x(6x + 18) = 0

Accepted Answer

A)  0, -3 
B)  0, 3 
C)    
D)    
A)  0, -3 
B)  0, 3 
C)    
D)

Question 7

Factor completely.
-

Accepted Answer

A)  x(7 + 4x)(7 - 4x) 
B)  prime 
C)    
D)  x(7 - 4x)(7 - 4x) 
A)  x(7 + 4x)(7 - 4x) 
B)  prime 
C)    
D)  x(7 - 4x)(7 - 4x)

Question 8

Factor using the ac-method.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Solve using the principle of zero products.
-(x - 0.9)(x + 0.3) = 0

Accepted Answer

A)  0.9, -0.3 
B)  0.9, 0.3 
C)  0.9, -0.9, 0.3, -0.3 
D)  -0.9, 0.3 
A)  0.9, -0.3 
B)  0.9, 0.3 
C)  0.9, -0.9, 0.3, -0.3 
D)  -0.9, 0.3

Question 10

Factor completely.
-

Accepted Answer

A)  (11k + 10m)(11k - 10m) 
B)    
C)    
D)  (121k + m)(k - 100m) 
A)  (11k + 10m)(11k - 10m) 
B)    
C)    
D)  (121k + m)(k - 100m)

Question 11

Factor.
-

Accepted Answer

A)  8(x - y)(x + 4y) 
B)  (8x - 8y)(x + 4y) 
C)  (x - y)(8x + 24y) 
D)  8(x + y)(x - 4y) 
A)  8(x - y)(x + 4y) 
B)  (8x - 8y)(x + 4y) 
C)  (x - y)(8x + 24y) 
D)  8(x + y)(x - 4y)

Question 12

Factor.
-  - 9x + 8

Accepted Answer

A)  (2x - 8)(2x - 1) 
B)  (4x - 8)(x - 1) 
C)  (4x - 1)(x - 8) 
D)  Prime 
A)  (2x - 8)(2x - 1) 
B)  (4x - 8)(x - 1) 
C)  (4x - 1)(x - 8) 
D)  Prime

Question 13

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.)
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Solve the problem.
-In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by   . How many teams are in a softball league if the total number of games played
Is 90?

Accepted Answer

A)  9 
B)  11 
C)  8 
D)  10 
A)  9 
B)  11 
C)  8 
D)  10

Question 15

Factor.
-

Accepted Answer

A)  z(10z + 1)(z - 6) 
B)  (2z - 3)(5z + 2) 
C)  z(2z + 3)(5z - 2) 
D)    
A)  z(10z + 1)(z - 6) 
B)  (2z - 3)(5z + 2) 
C)  z(2z + 3)(5z - 2) 
D)

Question 16

Factor completely.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Solve.
-Use the following graph to solve   .

Accepted Answer

A)  -3, 5 
B)  -5, 3 
C)  -5, -3 
D)  5, 3 
A)  -3, 5 
B)  -5, 3 
C)  -5, -3 
D)  5, 3

Question 18

Factor.
-

Accepted Answer

A)    
B)  3x(x + 4)(x - 5) 
C)    
D)  3x(x - 4)(x + 5) 
A)    
B)  3x(x + 4)(x - 5) 
C)    
D)  3x(x - 4)(x + 5)

Question 19

Solve the problem.
-The product of two consecutive integers is 29 more than their sum. Find the integers.

Accepted Answer

A)  -5, -4 
B)  6, 7 or -5, -4 
C)  6, 7 
D)  5, 6 or -5, -4 
A)  -5, -4 
B)  6, 7 or -5, -4 
C)  6, 7 
D)  5, 6 or -5, -4

Question 20

Factor completely.
-

Accepted Answer

A)    
B)    
C)  (4x + 7)(4x - 7) 
D)  prime 
A)    
B)    
C)  (4x + 7)(4x - 7) 
D)  prime

Factor completely. -

Factor. -

Factor. -

Solve by factoring and using the principle of zero products. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the difference between a factor and a multiple of a number.

Solve using the principle of zero products. -x(6x + 18) = 0

Factor completely. -

Factor using the ac-method. -

Solve using the principle of zero products. -(x - 0.9)(x + 0.3) = 0

Factor completely. -

Factor. -

Factor. - - 9x + 8

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.) -

Solve the problem. -In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by . How many teams are in a softball league if the total number of games played Is 90?

Factor. -

Factor completely. -

Solve. -Use the following graph to solve .

Factor. -

Solve the problem. -The product of two consecutive integers is 29 more than their sum. Find the integers.

Factor completely. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

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Exam 6: Polynomials: Factoring

Factor completely. -

Factor. -

Factor. -

Solve by factoring and using the principle of zero products. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the difference between a factor and a multiple of a number.

Solve using the principle of zero products. -x(6x + 18) = 0

Factor completely. -

Factor using the ac-method. -

Solve using the principle of zero products. -(x - 0.9)(x + 0.3) = 0

Factor completely. -

Factor. -

Factor. - - 9x + 8

Find the x-intercepts of the graph of the equation. (The grids are intentionally not included.) -

Solve the problem. -In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by . How many teams are in a softball league if the total number of games played Is 90?

Factor. -

Factor completely. -

Solve. -Use the following graph to solve .

Factor. -

Solve the problem. -The product of two consecutive integers is 29 more than their sum. Find the integers.

Factor completely. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters