Algebraic Expressions
Identify the terms, coefficients, and the constant
7h + 3
Terms: 7h, 3
Coefficient: 7
Constant: 3
Write the phrase as an expression.
The product of 3 and 12
3 * 12
Simplify the expression
6 + (5 + x)
Associative prop. of addition (6 + 5) + x
11 + x
Use the Distributive Property to find the product.
8 * 27
8 * 27 = 8 * (20 + 7)
= 160 + 56
= 216
5 + 8 = 8 + 5
Commutative Property of Addition
Identify the terms, coefficients, and constant.
g + 12 + 9g
Terms: g, 12, 9g
Coefficients: 1 and 9
Constant: 12
Write the phrase as an expression.
17 added to 15
17 + 15
Simplify the expression. Explain each step.
6(2 * b)
Associative prop. of mult.
(6 * 2) * b
12 * b
Use the Distributive Property to find the product.
8 * 63
8 * 63 = 8 * (60 + 3)
= 480 + 24
= 504
8 + 0 = 8
Write and evaluate an expression for the problem.
Music lessons cost $20 per week. How much do 6 weeks of lessons cost?
$20 * 6 = $120
Write the phrase as an expression.
A number b squared
b2
Complete the statement using the specified property.
Commutative Property of Addition
17 + x =
17 + x = x + 17
Use the Distributive Property to simplify the expression.
6(s - 9)
6s - 54
(7 * 4) * 2 = 7 * (4 * 2)
Write and evaluate an expression for the problem.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
$20 - $12 = $8
Write the phrase as an expression.
Twice a number z
2z
Complete the statement using the specified property.
Addition Property of Zero (Identity)
2 + c + 0 =
2 + c + 0 = 2 + c
Use the Distributive Property to simplify the expression.
9(2n + 1)
18n + 9
4 * 8 = 8 * 4
Commutative Property of Multiplication
Evaluate the expression when a = 3 and b = 12.
b - a
12 - 3 = 9
Write the phrase as an expression.
3 fewer than 18
18 - 3
Complete the statement using the specified property.
Multiplication Property of One (Identity)
1 * w * 16 =
1 * w * 16 = w * 16
Use the Distributive Property to simplify the expression. (combine like terms)
6(x + 4) + 1
6x + 24 + 1
6x + 25
4 * 1 = 4
Multiplication Property of One (Identity)