Models Expressions

A sidewalk has an area that can be represented by the expression (8x + 24) feet. What are the possible dimensions of the sidewalk? Select all correct answers.

• 8(x + 3)

• 4(2x + 6)

• 2(4x + 12)

• 1(8x + 24)

What are the possible dimensions of the garden?

• 4x + 36

• 4(x + 9)

• 2x(2 + 18)

• 4x(1 + 9)

4 friends went to the movies. The total cost was 12x + 36. What was the cost for one person?

• 6x + 6

• 4x + 12

• 2x + 18

• 3x + 9

The area of a rectangular sandbox is (8x + 40) feet. What are the possible dimensions of the sandbox? Select all possible answers.

• 5(x + 8)

• 8(x + 5)

• 2(4x + 20)

• 4(2x + 10)

A square picture frame has a perimeter of (20x + 32) inches. What is the length of one side of the picture frame?

• 10x + 16

• 2x + 16

• 4x + 8

• 5x + 8

Which algebraic expression matches this verbal expression? Three less than the product of four and a number

• 4n - 3

• 3 - 4n

• (3 - 4)n

• 3(n - 4)

How is the following expression best modeled?

3(n - 2)

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These algebraic tiles represent the expression 4(x + 2). Which expression is equivalent to 4(x + 2)?

• 4x + 8

• x + 2

• 4x + 2

• 4x - 8

Simplify the following expression: -5x - 8x + 3(2x + 7) + 12.

• -8x + 19

• 3x - 9

• 9x + 33

• -7x + 33

Simplify the following expression:
-9(14p - 8) - 4p

• 130p - 72

• 122p - 72

• -130p - 18

• -130p + 72