Deck 5: Factoring Polynomials and Solving Equations by Factoring

Question 1

Use the factoring method to solve the equation.

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

Answer 1

,

Question 2

The product of two consecutive integers is . Find the integers.

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

Answer 2

,

Question 3

Use the difference of squares pattern to factor the polynomial.

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

Answer 3

( x - 2 y ) ( x + 2 y )

Question 4

Solve the equation.

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

Question 5

The distance (in feet) that an object will fall in seconds is given by the formula . How long will it take an object to fall 576 feet?

A) 6 sec
B) 36 sec
C) 8 sec
D) 7 sec
E) 35 sec

Question 6

Solve the equation.

A)
B)
C)
D)
E)

Question 7

Factor completely.

A)
B)
C)
D)
E)

Question 8

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.

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

Question 9

Factor the polynomial.

A)
B)
C)
D)
E)

Question 10

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

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 11

Factor the expression.

A)
B)
C)
D)
E)

Question 12

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

A)
B)
C)
D)
E)

Question 13

Factor the polynomial completely.

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 14

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

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

Question 15

Factor the expression.

A)
B)
C)
D)
E)

Question 16

Factor the following polynomial completely.

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

Question 17

Factor the expression.

A)
B)
C)
D)
E)

Question 18

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 .

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

Question 19

Factor the following polynomial completely.

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

Question 20

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

Question 21

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

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

Question 22

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.

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

Question 23

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

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