GCF & LCM
Distributive Property
Equivalent Expressions & Writing Expressions
100

What is the least common multiple of 12 and 15?

60

100

Rewrite the expression 4(f+5) using the Distributive Property

4f + 20

100

Are the expressions 6b + 7c and 7c + 6b equivalent? 

yes

200

Use the GCF to factor 18 + 42

6(3 + 7)

200

Rewrite the expression 3(f+4) using the Distributive Property

3f + 12

200

Are the expressions  8x+3+2x+4-7x and  3x+8 equivalent?

not equivalent

300

What is the least common multiple of 16 and 20?

80

300

Show how to multiply  5 xx 6 1/2 using the Distributive Property

5 x 6 + 5 x 1/2

300

Are the expressions  5(2x+3)+4x and  10x+3x+10+1x+5 equivalent?

Equivalent

400

Use the GCF to factor 20 + 35

5(4 + 7)

400

Using the Distributive Property, evaluate 4 x 9 1/2 

38

400

Simplify the expression 

 4x^2+5-2x+3+6x^2 

10x^2-2x+8

500

Gretchen has 12 apples and 15 pears. She wants to arrange the fruit into equal size groups. Each group should have the same number of apples and the same number of pears in it. What is the greatest number of groups she can create?

3 groups

500

Diego sells school supplies and must calculate how much students pay when they purchase items. He sells highlighters for $1.50. A student buys 6 highlighters. Using the distributive property and mental math, how much change would Diego have to give the student if the student paid with $20?

$11.00

500

The basketball coach purchases uniforms for both the Varsity and Junior Varsity basketball teams. The cost of jerseys is $75 per case and the cost of shorts is $60 per case. The coach must also pay an $8 shipping fee. The coach purchases x cases of jerseys and x cases of shorts for the Varsity team. The coach also purchases y cases of jerseys and y cases of shorts for the JV team. Write an expression to represent the total cost of the uniforms. 

135x + 135y + 8