Example of a variable
any letter: x, y, z
⋅
7(4p) =
28p
Write the expression as an exponent:
x ⋅ x ⋅ x ⋅ x ⋅ x
x5
33 + 0 = 33
Addition property of zero
Define fewer than
subtraction
What does "evaluate" mean?
Solve; find the answer
8(4) =
32
Evaluate the expression when x=4:
12 - x
8
Define the sum
add
14 ⋅ 1 = 14
Multiplication property of one
Define the product
multiplication
Simplify:
5(k + 4) - 2k
Step 1: 5k + 20 - 10k
Answer: 5k + 20
When y= 5:
2y =
10
Simplify:
2(3 + d - 1)
Step 1: 6 + 2d - 2
Answer: 4 + 2d
Use the Distributive Property to simplify the expression:
4(c - 2)
4c - 8
5 + 8 = 8 + 5
Commutative property of addition
Define the quotient
divide
8(x - 1)
8x - 8
Factor the expression using GCF:
12y - 8
4(3y - 2)
(7+4) + 2 = 7 + (4+2)
Associative property of addition
Factor the expression using GCF:
4 + 22
2(2 + 11)
(7 ⋅ 4) ⋅ 2 = 7 ⋅ (4 ⋅ 2)
Associative property of multiplication
Simplify:
8(y + 2) + 1
Step 1: 8y + 16 + 1
Answer: 8y + 17
5 ⋅ 8 = 8 ⋅ 5