Math 6 Ch.3 Review

Simplify the expression. Explain each step. (21 × b) × 2

(21 × b) × 2 Given (b × 21) × 2 Comm. Prop. of Mult. b × (21 × 2) Assoc. Prop. of Mult. b × 42 42b

Simplify the expression. Explain each step. 10 + (2+y)

10 + (2+y) Given (10 + 2) + y Assoc. Prop. of Add. 12 + y Combine like terms

Evaluate 8y-x when x = 20 and y = 4

12

Write the phrase as an expression: the product of a number x and 12

12x

Evaluate y+x, when x=20 and y=4

24

Use the distributive property to simplify the expression: 2(x+12)

2x + 24

In a video game, you score p game points and b triple bonus points. An expression for your score is p+3b. What is your score when you earn 245 game points and 20 triple bonus points?

305 points

Simplify the expression: 3z + 4 + 5z - 9

3z + 9 + 5z - 4 Given 9 + 3z + 5z - 4 Comm. Prop. of Add. 9 + 8z - 4 Combine like terms 8z + 9 - 4 Comm. Prop. of Add. 8z + 5 Combine like terms

Use the distributive property to simplify the expression:8(s - 2)

8s - 16

Use the distributive property to simplify the expression: 5(n+3) + 4n

9n + 15

Tell which property the statement illustrates: 4x + 0 = 4x

Addition Property of Zero (APZ)

Tell which property the statement illustrates: 14 + (35 + w) = (14 + 35) + w

Associative Property of Addition (APA)

Tell which property the statement illustrates: 8(6y) = (8 × 6) × y

Associative Property of Multiplication (APM)

Tell which property the statement illustrates: (9 + y) + 11 = (y + 9) + 11

Commutative Property of Addition (CPA)

Tell which property the statement illustrates: 3.5 × z = z × 3.5

Commutative Property of Multiplication (CPM)

Tell which property the statement illustrates: 5(x + 3) = 5x + 15

Distributive Property

Tell which property the statement illustrates: 1 × a = a

Multiplication Property of One (MPO)

Tell which property the statement illustrates: 9 × 0 = 0

Multiplication Property of Zero (MPZ)

It costs 9 dollars for adults and 7 dollars for children for admission into an evening show at the movie theater. a.) Write an expression for the cost of admission. b.) Find the total cost for 6 adults and 8 children.

a.) a = number of adults and c = number of children so the expression for the total cost is 9a + 7c b.) $110

Write the phrase as an expression: 11 fewer than a number b

b - 11

Write the phrase as an expression: a number z decreased by 18

z-18