Order of Operations
Evaluating Expressions
Properties
Simplifying Expressions
Writing Expressions
Factoring Expressions
100
32 - 3 x 2
3
100
If r=6 and s=8, find the value of this expression.
rs-s
6(8) - 8= 40
100
What property is being applied?
5 x 1 = 5
Identity Property of Multiplication
100
5x + 3x + 8x
16x
100
one fourth the amount of salt
s x 1/4 or s ÷ 4
100
8r + 2r
2(4r + r)
200
15 + (28 - 4 x 2)
35
200
Evaluate each expression if x = 2 and z = 5?
5x + 2z
20
200
7 X 4 = 4 x 7
Commutative Property of Multiplication
200
8v + 9z + 3v + 5z
11v +14z
200
5 less minutes than Joe (j=Joe's time)
j-5 (order matters with subtraction)
200
14p + 21p
7(2p + 3p)
300
Elisa purchased 5 balls of yarn for $5 each and 9 jars of glue for $3 each. Write an expression for the total cost of the supplies. Then find the total cost.
5($5) + 9($3)
$52 (You must have both the expression and answer)
300
Ken took $72 to a concert. If he paid for 5 tickets that each cost d dollars, he will have 72 - 5d left. How much does he have left if the tickets cost $12.65 each?
$8.75
300
8 x 0 = 0
Zero Property
300
3(3w + 2)
9w + 6
300
A can of tennis balls comes with y yellow balls and x orange balls. Write and simplify an expression that represents the total of each color in 6 cans of tennis balls.
6(y + x) =
6y + 6x (final answer)
300
30s - 15s
15(2s - s)
400
(9 + 42 ÷ 8 × 3)
15
400
Evaluate each expression if x = 2, y = 3/5 , and z = 5?
x2 + 5y ÷ z
4 3/5
400
5 + (6 + 8) = (5 + 6) + 8
Associative Property of Addition
400
4(4d + 2 + 3d)
28d + 8 or 8 + 28d
400
Ten kids each order a scoop of ice cream. Five of the kids add sprinkles, 3 add nuts, and 2 add nothing extra. Write and simplify an expression that represents the total cost.
10x + 5(0.25) + 3(0.35)
10x + 1.25 + 1.05
10x + 2.30 (This is the final answer)
400
48w - 36w
12(4w-3w)
500
(68 - 52 ) + 21 X 3
106
500
If a = 1/2 and b = 8
5b - 6a x 4
28
500
4(2x + 5) = 4(2x) + 4(5) = 8x + 20
Distributive Property
500
12q + 5(2 + 3q)
10 + 27q or 27q + 10
500
Julianna is x years old. Her sister is 2 years older than her. Her mother is 3 times as old as her sister. Her Uncle Rich is 5 years older than her mother. Write and simplify an expression representing Rich’s age.
3x + 11
500
18x + 20x + 4x
2(9x + 10x + 2x)