Question 1

Factor.
-5m(2 - m) + 4n(2 - m)

Accepted Answer

A)  No common factor 
B)  m(5 + 4n)(2 - 1) 
C)  (5m + 4n)(2 - m) 
D)  (5m - 4n)(2 - m) 
A)  No common factor 
B)  m(5 + 4n)(2 - 1) 
C)  (5m + 4n)(2 - m) 
D)  (5m - 4n)(2 - m)

Question 2

Factor completely.
-

Accepted Answer

A)  7(5x + 2y)(5x - 2y) 
B)    
C)  (5x + 2y)(35x - 14y) 
D)  (35x + 14y)(5x - 2y) 
A)  7(5x + 2y)(5x - 2y) 
B)    
C)  (5x + 2y)(35x - 14y) 
D)  (35x + 14y)(5x - 2y)

Question 3

Factor.
-

Accepted Answer

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

Question 4

Factor completely.
-

Accepted Answer

A)    
B)    
C)    
D)  (2x + 5)(2x - 5)(x + 8) 
A)    
B)    
C)    
D)  (2x + 5)(2x - 5)(x + 8)

Question 5

Factor.
-

Accepted Answer

A)    
B)  x(3x + 2)(3x + 4) 
C)    
D)    
A)    
B)  x(3x + 2)(3x + 4) 
C)    
D)

Question 6

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 7

Factor.
-1

Accepted Answer

A)  (4x + 3t)(4x + 3t) 
B)  (16x - 3t)(x - 3t) 
C)  Prime 
D)  (4x - 3t)(4x - 3t) 
A)  (4x + 3t)(4x + 3t) 
B)  (16x - 3t)(x - 3t) 
C)  Prime 
D)  (4x - 3t)(4x - 3t)

Question 8

Factor completely.
-

Accepted Answer

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

Question 9

Factor.
-

Accepted Answer

A)  2(x - 10)(x + 1) 
B)  Prime 
C)  2(x - 2)(x - 5) 
D)  (2x - 4)(x - 5) 
A)  2(x - 10)(x + 1) 
B)  Prime 
C)  2(x - 2)(x - 5) 
D)  (2x - 4)(x - 5)

Question 10

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

Accepted Answer

A)  (2, 0), (-7, 0) 
B)  (2, 0), (1, 0) 
C)  (-2, 0) (7, 0) 
D)  (9, 0) 
A)  (2, 0), (-7, 0) 
B)  (2, 0), (1, 0) 
C)  (-2, 0) (7, 0) 
D)  (9, 0)

Question 11

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 12

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

Accepted Answer

A)  (42, 0) 
B)  (1, 0), (-42, 0) 
C)  (7, 0), (6, 0) 
D)  (-6, 0), (7, 0) 
A)  (42, 0) 
B)  (1, 0), (-42, 0) 
C)  (7, 0), (6, 0) 
D)  (-6, 0), (7, 0)

Question 13

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-How could you solve the equation(6x + 4)(10x - 7)(7x - 3) = 0? How many equations do you need to solve? What are their solutions?

Accepted Answer

Set each factor equa

Question 14

Factor.
-  - 5x - 30

Accepted Answer

A)  5(x - 2)(x + 3) 
B)  (x + 2)(5x - 15) 
C)  (5x + 10)(x - 3) 
D)  5(x + 2)(x - 3) 
A)  5(x - 2)(x + 3) 
B)  (x + 2)(5x - 15) 
C)  (5x + 10)(x - 3) 
D)  5(x + 2)(x - 3)

Question 15

Solve.
-Use the following graph to solve

Accepted Answer

A)  -4, -2 
B)  -4, 2 
C)  -2, 4 
D)  2, 4 
A)  -4, -2 
B)  -4, 2 
C)  -2, 4 
D)  2, 4

Question 16

Factor by grouping.
-

Accepted Answer

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

Question 17

Solve the problem.
-A number is 20 less than its square. Find all such numbers.

Accepted Answer

A)  -4 and 4 
B)  -5 and 5 
C)  -5 and 4 
D)  -4 and 5 
A)  -4 and 4 
B)  -5 and 5 
C)  -5 and 4 
D)  -4 and 5

Question 18

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Assuming you have factored out the largest common factor at the outset, why can you reject a possible factor
such as (2x + 2) or (3x - 6) when you are factoring a trinomial?

Accepted Answer

Factors such as (2x + 2) or (3

Question 19

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 20

Solve the problem.
-Within a group of n people, the number of possible handshakes, N, is given by   . At a party, everybody shakes hands with every other person. If the total number of handshakes is 210, how many people are at the party?

Accepted Answer

A)  20 
B)  23 
C)  21 
D)  22 
A)  20 
B)  23 
C)  21 
D)  22

Factor. -5m(2 - m) + 4n(2 - m)

Factor completely. -

Factor. -

Factor completely. -

Factor. -

Determine whether the following is a difference of squares. -

Factor. -1

Factor completely. -

Factor. -

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

Determine whether the following is a difference of squares. -

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

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -How could you solve the equation(6x + 4)(10x - 7)(7x - 3) = 0? How many equations do you need to solve? What are their solutions?

Factor. - - 5x - 30

Solve. -Use the following graph to solve

Factor by grouping. -

Solve the problem. -A number is 20 less than its square. Find all such numbers.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Assuming you have factored out the largest common factor at the outset, why can you reject a possible factor such as (2x + 2) or (3x - 6) when you are factoring a trinomial?

Determine whether the following is a difference of squares. -

Solve the problem. -Within a group of n people, the number of possible handshakes, N, is given by . At a party, everybody shakes hands with every other person. If the total number of handshakes is 210, how many people are at the party?

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

Exam 6: Polynomials: Factoring

Factor. -5m(2 - m) + 4n(2 - m)

Factor completely. -

Factor. -

Factor completely. -

Factor. -

Determine whether the following is a difference of squares. -

Factor. -1

Factor completely. -

Factor. -

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

Determine whether the following is a difference of squares. -

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

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -How could you solve the equation(6x + 4)(10x - 7)(7x - 3) = 0? How many equations do you need to solve? What are their solutions?

Factor. - - 5x - 30

Solve. -Use the following graph to solve

Factor by grouping. -

Solve the problem. -A number is 20 less than its square. Find all such numbers.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Assuming you have factored out the largest common factor at the outset, why can you reject a possible factor such as (2x + 2) or (3x - 6) when you are factoring a trinomial?

Determine whether the following is a difference of squares. -

Solve the problem. -Within a group of n people, the number of possible handshakes, N, is given by . At a party, everybody shakes hands with every other person. If the total number of handshakes is 210, how many people are at the party?

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