Question 1

Use the difference of squares pattern to factor the polynomial.

Accepted Answer

A)  ( x - 4 y ) ( x + 4 y ) 
B)  ( x + 2 y ) ( x + 4 y ) 
C)  ( x - 2 y ) ( x + 2 y ) 
D)  ( x - 2 y ) ( x - 4 y ) 
E)  none of these 
A)  ( x - 4 y ) ( x + 4 y ) 
B)  ( x + 2 y ) ( x + 4 y ) 
C)  ( x - 2 y ) ( x + 2 y ) 
D)  ( x - 2 y ) ( x - 4 y ) 
E)  none of these C

Question 2

A booklet is rectangular and its length is 2 centimeters less than 2 times its width. Its area is 40 square centimeters. Find the dimensions of the booklet.

Accepted Answer

A)  5 cm by 8 cm 
B)  4 cm by 14 cm 
C)  4 cm by 8 cm 
D)  5 cm by 14 cm 
A)  5 cm by 8 cm 
B)  4 cm by 14 cm 
C)  4 cm by 8 cm 
D)  5 cm by 14 cm A

Question 3

Factor completely.

Accepted Answer

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

Question 4

The height in feet   of a rocket in flight is given by the formula   , where   is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

Accepted Answer

A)  13 sec 
B)  14 sec 
C)  16 sec 
D)  12 sec 
E)  11 sec 
A)  13 sec 
B)  14 sec 
C)  16 sec 
D)  12 sec 
E)  11 sec

Question 5

A rectangle has an area 390 square centimeters. Its length is 4 centimeters more than twice its width. Find the perimeter of the rectangle.

Accepted Answer

A)  78 
B)  98 
C)  94 
D)  86 
A)  78 
B)  98 
C)  94 
D)  86

Question 6

Factor the polynomial completely.

Accepted Answer

A)  (8 + y ) (8 + 7 y ) 
B)  (8 - 7 y ) (8 + 7 y ) 
C)  (64 - 7 y ) (64 + 7 y ) 
D)  (8 - 49 y ) (8 + 49 y ) 
E)  none of these 
A)  (8 + y ) (8 + 7 y ) 
B)  (8 - 7 y ) (8 + 7 y ) 
C)  (64 - 7 y ) (64 + 7 y ) 
D)  (8 - 49 y ) (8 + 49 y ) 
E)  none of these

Question 7

Factor the expression.

Accepted Answer

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

Question 8

Factor the expression.

Accepted Answer

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

Question 9

Factor the following polynomial completely.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 10

A woman drives her snowmobile 240 miles at the rate of r mph. She could have gone the same distance in 2 hours less time if she had increased her speed by 20 mph. Find r .

Accepted Answer

A)  27 mph 
B)  41 mph 
C)  44 mph 
D)  57 mph 
E)  40 mph 
A)  27 mph 
B)  41 mph 
C)  44 mph 
D)  57 mph 
E)  40 mph

Question 11

Factor the following polynomial completely.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 12

Use the factoring method to solve the equation.

Accepted Answer

A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)    ,   
A)    ,   
B)    ,   
C)    ,   
D)    ,   
E)    ,

Question 13

Factor the polynomial.

Accepted Answer

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

Question 14

Paul is elder than his brother Bryan. Their ages are consecutive integers whose product is 506. How old are Bryan and Paul?

Accepted Answer

A)  Bryan is 22, Paul is 23 
B)  Bryan is 16, Paul is 17 
C)  Bryan is 28, Paul is 29 
D)  Bryan is 34, Paul is 35 
A)  Bryan is 22, Paul is 23 
B)  Bryan is 16, Paul is 17 
C)  Bryan is 28, Paul is 29 
D)  Bryan is 34, Paul is 35

Question 15

The x - and y -coordinates of a point in quadrant III are consecutive even integers whose product is 48. Find the coordinates of the point.

Accepted Answer

A)  (8, 6) 
B)  (-8, -6) 
C)  (-12, -10) 
D)  (12, 10) 
A)  (8, 6) 
B)  (-8, -6) 
C)  (-12, -10) 
D)  (12, 10)

Question 16

The length of the rectangular desk is twice its width. Its area is 0.98 square meters. Find the dimensions of the desk.

Accepted Answer

A)  0.5 m by 1.2 m 
B)  0.7 m by 1.4 m 
C)  0.9 m by 1.6 m 
D)  1 m by 1.7 m 
A)  0.5 m by 1.2 m 
B)  0.7 m by 1.4 m 
C)  0.9 m by 1.6 m 
D)  1 m by 1.7 m

Question 17

Factor the expression.

Accepted Answer

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

Question 18

Factor the trinomial square and use the square root method to solve the equation.

Accepted Answer

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

Question 19

Solve the equation.

Accepted Answer

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

Question 20

Solve the equation.

Accepted Answer

A)  1, 6 , 5 
B)  0, 6, 5 
C)  6 , 5 
D)  -6, -5 
E)  0, -6 , -5 
A)  1, 6 , 5 
B)  0, 6, 5 
C)  6 , 5 
D)  -6, -5 
E)  0, -6 , -5

Use the difference of squares pattern to factor the polynomial.

A booklet is rectangular and its length is 2 centimeters less than 2 times its width. Its area is 40 square centimeters. Find the dimensions of the booklet.

Factor completely.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

A rectangle has an area 390 square centimeters. Its length is 4 centimeters more than twice its width. Find the perimeter of the rectangle.

Factor the polynomial completely.

Factor the expression.

Factor the expression.

Factor the following polynomial completely.

A woman drives her snowmobile 240 miles at the rate of r mph. She could have gone the same distance in 2 hours less time if she had increased her speed by 20 mph. Find r .

Factor the following polynomial completely.

Use the factoring method to solve the equation.

Factor the polynomial.

Paul is elder than his brother Bryan. Their ages are consecutive integers whose product is 506. How old are Bryan and Paul?

The x - and y -coordinates of a point in quadrant III are consecutive even integers whose product is 48. Find the coordinates of the point.

The length of the rectangular desk is twice its width. Its area is 0.98 square meters. Find the dimensions of the desk.

Factor the expression.

Factor the trinomial square and use the square root method to solve the equation.

Solve the equation.

Solve the equation.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

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Exam 5: Factoring Polynomials and Solving Equations by Factoring

Use the difference of squares pattern to factor the polynomial.

A booklet is rectangular and its length is 2 centimeters less than 2 times its width. Its area is 40 square centimeters. Find the dimensions of the booklet.

Factor completely.

The height in feet of a rocket in flight is given by the formula , where is the time of the flight in seconds. How long will it take for the rocket to hit the ground?

A rectangle has an area 390 square centimeters. Its length is 4 centimeters more than twice its width. Find the perimeter of the rectangle.

Factor the polynomial completely.

Factor the expression.

Factor the expression.

Factor the following polynomial completely.

A woman drives her snowmobile 240 miles at the rate of r mph. She could have gone the same distance in 2 hours less time if she had increased her speed by 20 mph. Find r .

Factor the following polynomial completely.

Use the factoring method to solve the equation.

Factor the polynomial.

Paul is elder than his brother Bryan. Their ages are consecutive integers whose product is 506. How old are Bryan and Paul?

The x - and y -coordinates of a point in quadrant III are consecutive even integers whose product is 48. Find the coordinates of the point.

The length of the rectangular desk is twice its width. Its area is 0.98 square meters. Find the dimensions of the desk.

Factor the expression.

Factor the trinomial square and use the square root method to solve the equation.

Solve the equation.

Solve the equation.

Real Numbers and Their Basic Properties

Equations and Inequalities

Graphs; Equations of Lines; Functions; Variation

Polynomials

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters