Applying Properties of Operations: Algebraic Expressions

Use Exponents to rewrite the expression 2 X 2 X 2 X 2 X 2 X 4 X 4 X 4

• 4x4x4x2x2x2x2x2
• 2⁵+4³
• 10x12
• 2⁵x4³

An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered. Write an expression that can be used to find the cost in dollars for b bags including shipping.

• 21n+8
• 21b+8
• 21z+8
• 21s+8

Tereck owns 3 fewer DVDs than Paul. Let k represent the number of Paul's DVDs. Identify the expression that can be used to find the number of DVDs that Tereck owns.

• k-3
• k+3
• kx3
• k÷3

Write 3⁴ using repeated multiplication, then find the value of the number. 

• 12x1=12
• 3x3x3x3=81
• 3x4=12

Jagger is buying apples and bananas. He bought a pound of apples that cost $2 per pound and b bananas that cost $1 per pound. The total amount of his purchase is given by the expression 2a+b. Select the terms of the expression. Mark all that apply

• 2a
• c
• b
• 4a

Choose the number that makes the sentence true.
A = 6s²

The formula above gives the surface area of a cube with side lengths s. The surface area of a cube that has a side length of 5 inches is ___________ inches squared.

• 25
• 125
• 150
• 175

Bradley is ordering sets of guitar strings and bags of picks for his guitar. A new set of strings costs $12 and a new bag of picks cost $4. Shipping costs $6. The expression below gives the total cost for buying g sets of strings and picks.
12g+4g+6+12g+2g+3
Simplify the expression by combining like terms.

• 12g+4g+6+12g+2g+3
• 30g+9
• 30g+6+3
• 12g+4g+14g+9

 14 × (7-2)² ÷ 10
Mr. Baggaley writes the expression above on the board. A student said the first step is to evaluate the exponent. The student writes what her answer below.
4 × (7-2)² ÷ 10
= 4 x 7-2²  ÷ 10
= 4 x 7-4 ÷ 10
= 28-4 ÷ 10
= 24 ÷ 10
= 2.4
Explain the student's mistake, and then evaluate the expression.

• The student evaluated the parenthesis incorrectly. = 10
• The student divided first. = 24
• The student ate too much and got a tummy ache. = Don't eat easy cheese on ice cream!
• The student evaluated the expression correctly. = 24

Jessie writes the following word expression on the board.
The quotient of 24 and k
Write the algebraic expression for the word expression. Then evaluate the expression for k=3. 

• k ÷ 24
• 240 ÷ k
• 24 ÷ k
• k ÷ 240

Kika has some bags that each contain 24 balloons. She takes 2 balloons from each bag. The expression below represents the number of balloons (b) left in the bag.

24b-2b

Simplify the expression by combining like terms.

• 26b
• 24b
• 30b
• 22b