Name that Property
Factoring
Distributive Property
Simplifying Expressions
Word Problems
100
3 + 4 = 4 + 3
Commutative Property of Addition
100
Factor -
25 + 40
5(5 + 8)
100
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 -
21x + 33
3(7x +11)
200
6 + 3(4 + 7x)
18 + 21x
200
Simplify:
2m + 8 + 3m - 4
5m + 4 or 4 + 5m
200
Write an expression to represent the situation below.
You and three friends go to the movies. Each ticket costs 12 dollars and each of you also buys popcorn for p dollars.
4(12 +p)
300
7(x + 2) = 7x + 14
Distributive Property
300
Factor -
18m + 30n
6(3m + 5n)
300
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 -
12y - 28x + 8
4(3y - 7x + 2)
400
5(2w + 4 - 3x) + 6w
16w +20 - 15x
400
Simplify:
10 + (8x + 7) - 3x
17 + 5x or 5x + 17
400
Write and simplify an expression to represent the situation below.
You and two friends go rollerskating. It costs 25 dollars to get in, 10 dollars to rent skates and 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 -
35a + 10ab - 45ac
5a(7 + 2b - 9c)
500
9 + 4(2e - 2 + f)
1 + 8e + 4f
500
Simplify:
9y + 7 - y + 8
8y + 15 or 15 + 8y
500
What is the perimeter of the shape below?
3a + 10 or 10 + 3a