Practice 4-5 Factoring Expressions Quiz

Using the GCF, what is the factored form of 32v - 88?

• 2(16v - 44)

• 4(8v - 22)

• 8(4v - 11)

• 32(v - 88)

Answer explanation

32v - 88

GCF means Greatest Common Factor or the largest number that evenly goes into both terms

In this case 8 is the largest number that goes into 32 and 88

Tags

CCSS.7.EE.A.1

Choose the statements where 3 is the greatest common factor of the terms in each expression. Check all that apply.

• b + 3c

• -30 - 24z

• 27n + 66p

• 36 - 9j + 6k

Tags

CCSS.7.EE.A.1

Use a negative factor to factor the expression -5g + 15h - 25.

Answer explanation

Use a negative factor to factor the expression -5g + 15h - 25. Since you are factoring out the negative, you have to flip all of the signs

-5g + 15h - 25

-5(g - 3h + 5)

Tags

CCSS.7.EE.A.1

The area of a rectangle is expressed as (24m + 16) square feet. If the width of the rectangle is 8 feet, choose an expression to represent the length of the rectangle.

• (24m + 16) feet

• (m + 1) feet

• (3m + 2) feet

• (8m + 16) feet

Answer explanation

(24m + 16) Since it says to factor out the width of 8 feet, you divide both terms by 8 to get 3m + 2

Tags

CCSS.HSA.APR.D.6

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct?

• Yes; 7 is the GCF.

• No; 14 is the GCF.

• No; 7xy is the GCF.

• No; 7x is the GCF

Answer explanation

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? No. The 7 works but there is an x in each term so that has to come out as well.

Tags

CCSS.7.EE.A.1

Simplify the following:

-3(4x - 7) + 12 (3x - 8)

Answer explanation

-3(4x - 7) + 12(3x - 8)

-3*4x = -12x

-3*-7= 21

12*3x = 36x

12*-8 = -96

-12x + 36x +21 - 96

24x - 75

Tags

CCSS.6.EE.A.3