Question 1

Factor completely.
-

Accepted Answer

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

Question 2

Solve the problem.
-Below is a diagram of a water slide. The slide is 30 ft long. The ladder leading to the slide is 24 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth.

Accepted Answer

A)  18 ft 
B)  9 ft 
C)  27 ft 
D)  162 ft 
A)  18 ft 
B)  9 ft 
C)  27 ft 
D)  162 ft

Question 3

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

Accepted Answer

A)  9, -5 
B)  9, 5 
C)  -9, 5 
D)  -9, 1 
A)  9, -5 
B)  9, 5 
C)  -9, 5 
D)  -9, 1

Question 4

Factor completely.
-

Accepted Answer

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

Question 5

Determine whether the following is a difference of squares.
-

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A)  (-7, 0), (5, 0) 
B)    
C)  (0, -24) 
D)  (-6, 0), (4,0) 
A)  (-7, 0), (5, 0) 
B)    
C)  (0, -24) 
D)  (-6, 0), (4,0)

Question 7

Factor.
-

Accepted Answer

A)  (3x - t)(4x - 3t) 
B)  (12x + t)(x + 3t) 
C)  Prime 
D)  (3x + t)(4x + 3t) 
A)  (3x - t)(4x - 3t) 
B)  (12x + t)(x + 3t) 
C)  Prime 
D)  (3x + t)(4x + 3t)

Question 8

Determine whether the following is a difference of squares.
-x2 - 36

Accepted Answer

A) True 
 B)False

Question 9

Solve.
-Use the following graph to solve   .

Accepted Answer

A)  -15 
B)  -3, 5 
C)  3, -5 
D)  15 
A)  -15 
B)  -3, 5 
C)  3, -5 
D)  15

Question 10

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

Accepted Answer

A)    
B)  (4, 0), -1 , 0 
C)    
D)    
A)    
B)  (4, 0), -1 , 0 
C)    
D)

Question 11

Factor using the ac-method.
-

Accepted Answer

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

Question 12

Solve using the principle of zero products.
-(2y + 11)(5y + 16) = 0

Accepted Answer

A)  9, 11 
B)    
C)    
D)    
A)  9, 11 
B)    
C)    
D)

Question 13

Factor.
-  - 35x + 42

Accepted Answer

A)  7(-3x + 2)(2x + 3) 
B)  (-21x + 14)(2x + 3) 
C)  (-3x + 2)(14x + 21) 
D)  7(3x + 2)(-2x + 3) 
A)  7(-3x + 2)(2x + 3) 
B)  (-21x + 14)(2x + 3) 
C)  (-3x + 2)(14x + 21) 
D)  7(3x + 2)(-2x + 3)

Question 14

Factor by grouping.
-

Accepted Answer

A)  Not possible 
B)    
C)    
D)    
A)  Not possible 
B)    
C)    
D)

Question 15

Factor completely.
-

Accepted Answer

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

Question 16

Factor.
-  - 49x - 28

Accepted Answer

A)  7(2x - 1)(x + 4) 
B)  (2x - 1)(7x + 28) 
C)  (14x - 7)(x + 4) 
D)  7(2x + 1)(x - 4) 
A)  7(2x - 1)(x + 4) 
B)  (2x - 1)(7x + 28) 
C)  (14x - 7)(x + 4) 
D)  7(2x + 1)(x - 4)

Question 17

Factor.
-

Accepted Answer

A)  (u + 3v)(u - 5v) 
B)  (u - 3v)(u + v) 
C)  (u - 3v)(u + 5v) 
D)  (u - v)(u + 5v) 
A)  (u + 3v)(u - 5v) 
B)  (u - 3v)(u + v) 
C)  (u - 3v)(u + 5v) 
D)  (u - v)(u + 5v)

Question 18

Factor by grouping.
-

Accepted Answer

A)  (s + 4)(s - 9) 
B)  s(s + 49) 
C)  (s - 4)(s - 9) 
D)  (s + 4)(s + 9) 
A)  (s + 4)(s - 9) 
B)  s(s + 49) 
C)  (s - 4)(s - 9) 
D)  (s + 4)(s + 9)

Question 19

Solve by factoring and using the principle of zero products.
-  + 28d + 12 = 0

Accepted Answer

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

Question 20

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

Accepted Answer

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

Factor completely. -

Solve the problem. -Below is a diagram of a water slide. The slide is 30 ft long. The ladder leading to the slide is 24 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth.

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

Factor completely. -

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.) -

Factor. -

Determine whether the following is a difference of squares. -x2 - 36

Solve. -Use the following graph to solve .

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

Factor using the ac-method. -

Solve using the principle of zero products. -(2y + 11)(5y + 16) = 0

Factor. - - 35x + 42

Factor by grouping. -

Factor completely. -

Factor. - - 49x - 28

Factor. -

Factor by grouping. -

Solve by factoring and using the principle of zero products. - + 28d + 12 = 0

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

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. -

Solve the problem. -Below is a diagram of a water slide. The slide is 30 ft long. The ladder leading to the slide is 24 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth.

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

Factor completely. -

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.) -

Factor. -

Determine whether the following is a difference of squares. -x2 - 36

Solve. -Use the following graph to solve .

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

Factor using the ac-method. -

Solve using the principle of zero products. -(2y + 11)(5y + 16) = 0

Factor. - - 35x + 42

Factor by grouping. -

Factor completely. -

Factor. - - 49x - 28

Factor. -

Factor by grouping. -

Solve by factoring and using the principle of zero products. - + 28d + 12 = 0

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

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