Name that Property
3 + 4 = 4 + 3
Commutative Property of Addition
the sum of x and 2
x+2 or 2+x
3a - b2 when a = 8 and b = 3
15
Simplify:
3(x+2)
3x + 6
Factor the expression:
25 + 40
5(5 + 8)
5 + 0 = 5
Identity Property of Addition or
Addition Property of Zero
9 more than the quotient of w and 4
w/4+9
6x - 4y/2 when x = 5 and y = 3
24
Simplify:
2m + 8 + 3m
5m + 8 or 8 + 5m
Name the coefficients.
5x + y - 9
5, 1
7(x + 2) = 7x + 14
Distributive Property
6 less than the product of y and 8
8y-6
4b3 + c - 8 when b = 2 and c = 9
33
Simplify:
5(6h)
30h
Factor the expression:
15m + 21m2
3m(5 + 7m)
(4+6)+8 = 4+(6+8)
ASsociative Property of Addition
5 more than the difference of m and 3
m - 3 + 5 or 5 + (m-3)
You went shopping for Thanksgiving. Pie crusts were $5 and cans of pumpkin were $3.50.
a.)Write an expression to represent how much it costs for x pie crusts and y cans of pumpkin.
b.) How much does it cost for 4 pie crusts and 8 cans of pumpkin?
a.) 5x + 3.50y
b.) $48
Simplify:
10(x + 7) - 25
10x + 45
What are the terms, variables, coefficients and constants in 4a2 - b - 7
terms: 4a2, -b, -7
variables: a, b
coefficients: 4, -1
constants: -7
ab = ba
Commutative Property of Multiplication
double the sum of 5, 7, and x
2(5+ 7 + x)
y/18 + 3z when y = 54 and z = 14
45
Simplify:
9y + 5(y - 7)
14y - 35
The expression 26a + 12c represents the cost for a adults and c children to go to the science museum. What would the cost be for 7 adults and 9 children?
$290