Question 1

Solve by factoring and using the principle of zero products.
-x(x - 2) = 15

Accepted Answer

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

Question 2

Factor.
-

Accepted Answer

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

Question 3

Factor completely.
-

Accepted Answer

A)    
B)    
C)  Prime 
D)  (13k + 6m)(13k - 6m) 
A)    
B)    
C)  Prime 
D)  (13k + 6m)(13k - 6m) D

Question 4

Factor completely.
-

Accepted Answer

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

Question 5

Solve the problem.
-A long-distance runner runs 2 miles south and then 4 miles east. How far is the runner from the starting point? Round to nearest tenth.

Accepted Answer

A)  4.5 mi 
B)  2.5 mi 
C)  1.1 mi 
D)  1.5 mi 
A)  4.5 mi 
B)  2.5 mi 
C)  1.1 mi 
D)  1.5 mi

Question 6

Factor.
-

Accepted Answer

A)    
B)    
C)  y + 2 
D)    
A)    
B)    
C)  y + 2 
D)

Question 7

Factor by grouping.
-

Accepted Answer

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

Question 8

Factor.
-49 - 126x +

Accepted Answer

A)  (81x - 7)(x - 7) 
B)    
C)    
D)  Prime 
A)  (81x - 7)(x - 7) 
B)    
C)    
D)  Prime

Question 9

Factor.
-

Accepted Answer

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

Question 10

Factor completely.
-

Accepted Answer

A)  (3x - 1)(21x + 7) 
B)  7(3x - 1)(3x + 1) 
C)  (21x - 7)(3x + 1) 
D)    
A)  (3x - 1)(21x + 7) 
B)  7(3x - 1)(3x + 1) 
C)  (21x - 7)(3x + 1) 
D)

Question 11

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

Accepted Answer

A)    
B)    
C)    
D)  0 
A)    
B)    
C)    
D)  0

Question 12

Solve the problem.
-The diagram below shows a rope connecting the top of a pole to the ground. The rope is 30 yd long and touches the ground 23 yd from the pole. How tall is the pole? Round approximations to the nearest tenth.

Accepted Answer

A)  19.3 yd 
B)  9.7 yd 
C)  26.5 yd 
D)  185.5 yd 
A)  19.3 yd 
B)  9.7 yd 
C)  26.5 yd 
D)  185.5 yd

Question 13

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   . What is the total number of games to be played in a football league having 25
Teams?

Accepted Answer

A)  650 
B)  625 
C)  600 
D)  50 
A)  650 
B)  625 
C)  600 
D)  50

Question 14

Factor completely.
-

Accepted Answer

A)  (5x - 3y)(10x + 6y) 
B)  (10x - 6y)(5x + 3y) 
C)  2(5x - 3y)(5x + 3y) 
D)    
A)  (5x - 3y)(10x + 6y) 
B)  (10x - 6y)(5x + 3y) 
C)  2(5x - 3y)(5x + 3y) 
D)

Question 15

Factor.
-

Accepted Answer

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

Question 16

Factor.
-

Accepted Answer

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

Question 17

Factor.
-

Accepted Answer

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

Question 18

Solve the problem.
-The height of a triangle is 4 cm more than the length of the base. If the area of the triangle is 198 cm2, find the height and length of the base.

Accepted Answer

A)  height: 23 cm; base: 17 cm 
B)  height: 18 cm; base: 14 cm 
C)  height: 21 cm; base: 17 cm 
D)  height: 22 cm; base: 18 cm 
A)  height: 23 cm; base: 17 cm 
B)  height: 18 cm; base: 14 cm 
C)  height: 21 cm; base: 17 cm 
D)  height: 22 cm; base: 18 cm

Question 19

Factor.
-  + 16y + 4

Accepted Answer

A)  (3y + 2)(5y + 2) 
B)  Prime 
C)  (15y + 2)(y + 2) 
D)  (3y - 2)(5y - 2) 
A)  (3y + 2)(5y + 2) 
B)  Prime 
C)  (15y + 2)(y + 2) 
D)  (3y - 2)(5y - 2)

Question 20

Factor completely.
-

Accepted Answer

A)  (40x + 16)(5x + 2) 
B)    
C)    
D)  8(5x - 2)(5x + 2) 
A)  (40x + 16)(5x + 2) 
B)    
C)    
D)  8(5x - 2)(5x + 2)

Solve by factoring and using the principle of zero products. -x(x - 2) = 15

Factor. -

Factor completely. -

Factor completely. -

Solve the problem. -A long-distance runner runs 2 miles south and then 4 miles east. How far is the runner from the starting point? Round to nearest tenth.

Factor. -

Factor by grouping. -

Factor. -49 - 126x +

Factor. -

Factor completely. -

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

Solve the problem. -The diagram below shows a rope connecting the top of a pole to the ground. The rope is 30 yd long and touches the ground 23 yd from the pole. How tall is the pole? Round approximations to the nearest tenth.

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 . What is the total number of games to be played in a football league having 25 Teams?

Factor completely. -

Factor. -

Factor. -

Factor. -

Solve the problem. -The height of a triangle is 4 cm more than the length of the base. If the area of the triangle is 198 cm2, find the height and length of the base.

Factor. - + 16y + 4

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

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Exam 6: Polynomials: Factoring

Solve by factoring and using the principle of zero products. -x(x - 2) = 15

Factor. -

Factor completely. -

Factor completely. -

Solve the problem. -A long-distance runner runs 2 miles south and then 4 miles east. How far is the runner from the starting point? Round to nearest tenth.

Factor. -

Factor by grouping. -

Factor. -49 - 126x +

Factor. -

Factor completely. -

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

Solve the problem. -The diagram below shows a rope connecting the top of a pole to the ground. The rope is 30 yd long and touches the ground 23 yd from the pole. How tall is the pole? Round approximations to the nearest tenth.

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 . What is the total number of games to be played in a football league having 25 Teams?

Factor completely. -

Factor. -

Factor. -

Factor. -

Solve the problem. -The height of a triangle is 4 cm more than the length of the base. If the area of the triangle is 198 cm2, find the height and length of the base.

Factor. - + 16y + 4

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