Topic 2 Review

Zero/Identity Property

100

Why are the expressions 0 and 2*0 equivalent?

Zero Property of Multiplication

200

Use the Identity Property of Addition to write an expression equivalent to 40+0.

40

300

Use the Zero Property of Multiplication to write an expression equivalent to 0*11.

0

400

Your friend incorrectly claims that the expressions 25*1 is equivalent to 0 by the Identity Property of Multiplication. Use the Identity Property of Multiplication to write an equivalent expression. Then explain your friend's error.

25..My friend used the Zero Property of Multiplication.

500

Use the Zero Property of Multiplication to write an expression equivalent to 0*(a - 4).

0

Commutative Property

100

Use the Commutative Property to rewrite the following expression x+6

6+x

200

Each of the 6 swimmers on the team swims y laps. Write two equivalent expressions for the total number of laps the team swims.

6 * y and y * 6

300

Use the Commutative Property of Addition to write an expression equivalent to 23 + 37.

37 + 23

400

Use the Commutative Property of Multiplication to write an equivalent expression to n*7*5.

Answers may vary

500

Use the Commutative Property of Multiplication to write two expressions equivalent to 4*14*50 a. 14*4*50 b. 4*14*50 c. 4*14+50 d. 4*50*14

a and d

Associative Property

100

Your friend works 15 hours a week for $11 per hour. Use the Associative Property of Multiplication to write an expression equivalent to (15*11)*w

15*(11*w)

200

Use the Associative Property of Multiplication to write and expression equivalent to (5*8)*7.

5*(8*7)

300

Find two expressions that equivalent by the Associative Property of Addition. a. (6+3)+17 b. 6+(17+3) c. 3+(17+6) d. 6+(3+17)

a and d

400

A class must use the Associative Property to write an expression equivalent to 27+(36+25). One student incorrectly comes up with the expression 27+(25+36). Use the Associative Property of Addition to write and equivalent expression. What was the students error?

(27+36)+25. The student used Commutative Property of Addition.

500

Juan is planning to paint a room. He spends $22 on brushes, $88 on paint, and $12 on drop cloth. Use the Associative Property of Addition to write two equivalent expressions that show the total cost.

(22+88)+12 and 22+(88+12)

Distributive Property

100

Use the Distributive Property to write an expression equivalent to 5(m+12).

5m+60

200

Your friend does 25 push ups and 35 sit ups each night. For n nights the expression n(25+35) represents the total number of sit ups and push ups. Use the Distributive Property to write and equivalent expression.

25n +35n

300

A sports team with 19 members is planning an end-of-season awards banquet. It costs $7 for each meal. To find the total cost of the meals, the team use the expression 7(g+19), where g is the number of guests attending the banquet. One team member incorrectly claims that the equivalent expression is 7g+19. Use the Distributive Property to write an equivalent expression. What as the team member's error?

7g+133. The team member forgot to Distribute the 7 to each term in the parenthesis.

400

The spring sale at a local store advertises one price for all items in a particular department. You buy 2 cucumber plans and n tomato plans for 15 dollars each. An expression for the total cost of your purchases is 15(2+n). Use the Distributive Property to write an equivalent expression.

30+15n

500

Use the Distributive Property to write an equivalent expression to 4(7+5+x).

28+20+4x

GCF/LCM

100

Find the GCF for 16 and 36.

4

200

Find the LCM of 12, 10, and 15.

60

300

Find the prime factorization of 60.

2*2*3*5

400

Use prime factorization to find the GCF of 56 and 64.

8

500

Use prime factorization to find the LCM of 8 and 12.

24