Name that Property
Factoring
Distributive Property
Simplifying Expressions
Word Problems
100
3 + 4 = 4 + 3
Commutative Property of Addition
100
Factor the expression:
25 + 40
5(5 + 8)
100
Simplify:
5(x +3)
5x + 15
100
Simplify:
3 + (x + 2)
5 + x or x + 5
100
The equation 15 + 20h = c represents the cost of renting a kayak for h hours. Not including the one-time fee, what is the hourly rate?
$20
200
5 + 0 = 5
Identity Property of Addition or
Addition Property of Zero
200
Factor the expression:
21x + 33
3(7x +11)
200
Simplify:
6 + 3(4 + 7x)
18 + 21x
200
Simplify:
2m + 8 + 3m - 4
5m + 4 or 4 + 5m
200
Write and simplify an expression using the distributive property to represent the situation below.
You and three friends go to the movies. You each buy a ticket for 12 dollars and popcorn for p dollars.
4(12 + p)
48 + 4p
300
7(x + 2) = 7x + 14
Distributive Property
300
Factor the expression:
18m + 30n
6(3m + 5n)
300
Simplify:
8(c - 5) + c
9c - 40
300
Simplify:
5(6h)
30h
300
The equation 25 + 95t = c represents the cost of seeing a play in Boston.
How much does parking cost? How much does each ticket cost?
$25 for parking
$95 for the ticket
400
(4+6)+8 = 4+(6+8)
ASsociative Property of Addition
400
Factor the expression:
12y - 28x + 8
4(3y - 7x + 2)
400
Simplify:
5(2w + 4 - 3x) + 6w
16w +20 - 15x
400
Simplify:
10 + 2 • 4x + (7 - 3x)
17 + 5x or 5x + 17
400
Write and simplify an expression using the distributive property to represent the situation below.
You and two friends go rollerskating. It costs 25 dollars to get in and 10 dollars to rent skates. Each of you also buys a drink for d dollars.
3(25 + 10 + d)
105 + 3d
500
ab = ba
Commutative Property of Multiplication
500
Factor the expression:
35a + 10ab - 45ac
5a(7 + 2b - 9c)
500
Simplify:
9 + 4(2e - 2 + f)
1 + 8e + 4f
500
Simplify:
7 - y + 4 + 3(3y)
8y + 15 or 15 + 8y
500
Write and simplify an expression for the perimeter of the shape below.
3a + 10 or 10 + 3a