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GCF
Factoring
Algebra Skills
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100

THE FIRST TERM OF A SEQUENCE IS –1. IF EACH TERM AFTER THE FIRST IS THE PRODUCT OF –3 AND THE PRECEDING TERM, WHAT IS THE FOURTH TERM OF THE SEQUENCE?

27
100

WHAT IS THE GCF OF

3x^7-9x^5+27x^3

3x ^3

​​

100

FACTOR THIS TRINOMIAL.

x^2+3x+2

(x+2)(x+1)

100

If a/b = 2, what is the value of 4b/a?

2
100

The sum of (7 + 3i) + (−8 + 9i) ?

-1+12i

200

HE SUM OF THREE CONSECUTIVE INTEGERS IS 66. WHAT IS THE VALUE OF THE Greatest OF THESE NUMBERS?

23

200

WHAT IS THE GCF OF

8x^4+24x^3-16x 

​​

8x

200

FACTOR THIS TRINOMIAL.

x^2+6x+5 

(x+1)(x+5)

200

A line in the xy-plane passes through the origin and has a slope of 1/7. Which of the following points lies on the line? A) (0, 7) B) (1, 7) C) (7, 7) D) (14, 2)

D

200

On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Write an equation to represent the total number of messages sent by Armand and Tyrone on Saturday afternoon?

5m+4p

300

FIND THE AREA OF A CIRCLE WITH A DIAMETER OF 12. (LEAVE ANSWER IN TERMS OF PI)

36pi

300

WHAT IS THE GCF OF

6x^9+2x^7-12x^4 

2x ^​4 

​​

300

FACTOR THIS TRINOMIAL

5x^2+11x+6 

(x+1)(5x+6)

300

Wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?

any number between 4-6

300

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 − 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

Kathy will start each week with 108 phones to fix

400

WHICH OF THE FOLLOWING NUMBERS, IS A PRIME NUMBER?

A. 15

B. 16

C. 17

D. 18

17
400

WHAT IS THE GCF OF

15x^4-10x^2-5

5
400

FACTOR THIS TRINOMIAL

2x^2+5x+3 

(x+1)(2x+3)

400

h = − 4.9t^2 + 25t The equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?

5.1

400

h = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year

3

500

IF F(X) = 2X^2 + 4, What IS EQUAL TO F(3) + F(5) ?

76
500

WHAT IS THE GCF

72x^3+48x^7-32x^4 

8x ^​3 

​​

500

FACTOR THIS TRINOMIAL.

2x^2+16x-32 

2(x ​^2+8x−16)

500

f y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5 ?

20

500

A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday

96