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