Question 1 (5 points)

Use the Distributive Property to write each expression as an equivalent algebraic expression.

–9(–x + 5)

Question 1 options:

	9x – 45
	9x – 4
	9x + 5
	–9(-5x)

Question 2 (5 points)

Subtract. Use models if needed.

(–4
x + 7) – (5
x – 9)

Question 2 options:

	–9x + 16
	–9x – 2
	x + 16
	x – 2

Question 3 (5 points)

Subtract. Use models if needed.

(12
x + 3) – (2
x + 10)

Question 3 options:

	10x – 7
	10x + 13
	14x – 7
	14x + 13

Question 4 (5 points)

The expression x + 18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the rectangle.

x + 5

Question 4 options:

	x + 13
	x + 8
	3x + 8
	x + 4

Question 5 (5 points)

Add. Use models if needed.

(4
x – 12) + (–
x + 7)

Question 5 options:

	3x – 5
	5x – 19
	5x + 19
	3x + 5

Question 6 (5 points)

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.

7(7 – 9)

Question 6 options:

	7(–2); 5
	49 – 63; –14
	49 – 9; 40
	14 + 2; 16

Question 7 (5 points)

Simplify each expression.

–4 + 10
a – 5 –
a

Question 7 options:

	9a – 9
	9a + 1
	11a + 1
	11a – 9

Question 8 (5 points)

Find the GCF of each pair of monomials.

20
a, 24
ab

Question 8 options:

	4
	4a
	2a
	120a

Question 9 (5 points)

Use the Distributive Property to write each expression as an equivalent algebraic expression.

(7 + a)3

Question 9 options:

	3(7a)
	21 + 3a
	10 + 3a
	7 + 3a

Question 10 (5 points)

Identify the coefficients in the expression below.

–6x + 5 y + 4x + 9

Question 10 options:

	–6, 5 , 4, 9
	–6, 5 , 4
	9
	–6x, 4x

Question 11 (5 points)

The side lengths of a triangle are given by the expressions 2x + 5, 5x + 4, and 3x + 4. Find the perimeter of the figure if x = 7.

Question 11 options:

	75 units
	54 units
	62 units
	83 units

Question 12 (5 points)

Factor each linear expression. If the expression cannot be factored, write cannot be factored.

36
x – 9

Question 12 options:

	9(4x – 1)
	9x(4 – x)
	9x(4 – 9)
	cannot be factored

Question 13 (5 points)

Add. Use models if needed.

(4
x – 4) + (–
x + 2)

Question 13 options:

	3x – 2
	5x – 6
	5x + 6
	3x + 2

Question 14 (5 points)

Simplify each expression.

–7
x+4(1 +
x)

Question 14 options:

	–3x + 4
	–11x + 5
	–3x + 5
	–11x

Question 15 (5 points)

Find the GCF of each pair of monomials.

15
x, 12
x

Question 15 options:

	60x
	x
	3x
	3

Question 16 (5 points)

A rectangular swimming pool has an area of (70x + 10) square feet. Find possible dimensions of the pool.

Question 16 options:

	10x feet and (7 + x) feet
	10 feet and (7 + x) feet
	10x feet and (7 + 10) feet
	10 feet and (7x + 1) feet

Question 17 (5 points)

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.

(5 + 1)3

Question 17 options:

	5 + 3; 8
	8 + 4; 12
	15 + 3; 18
	(6)3; 9

Question 18 (5 points)

The side lengths of a triangle are given by the expressions 5x + 3, 5x + 5, and 3x – 2. Write and simplify a linear expression for the perimeter of the triangle.

Question 18 options:

	13x – 4
	13x + 6
	10x + 6
	10x – 4

Question 19 (5 points)

Identify the like terms in the following expression.

12y + 9x + 7x

Question 19 options:

	12, 9, and 7
	x and y
	12y, 9x, 7x
	9x and 7x

Question 20 (5 points)

The expression 9x represents the number of miles Allison hiked, and 4x + 5 represents the number of miles that Adrian hiked in x days. Write an expression to show how many more miles Allison hiked than Adrian.

Question 20 options:

	5x – 5
	–5x + 5
	5x + 5
	13x + 5

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