# Pre algebra part 2 James Madison

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.

(–4x + 7) – (5x – 9)

Question 2 options:

–9x + 16

–9x – 2

x + 16

x – 2Question 3 (5 points)

Subtract. Use models if needed.

(12x + 3) – (2x + 10)

Question 3 options:

10x – 7

10x + 13

14x – 7

14x + 13Question 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 + 5Question 4 options:

x + 13

x + 8

3x + 8

x + 4Question 5 (5 points)

Add. Use models if needed.

(4x – 12) + (–x + 7)

Question 5 options:

3x – 5

5x – 19

5x + 19

3x + 5Question 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; 16Question 7 (5 points)

Simplify each expression.

–4 + 10a – 5 – a

Question 7 options:

9a – 9

9a + 1

11a + 1

11a – 9Question 8 (5 points)

Find the GCF of each pair of monomials.

20a, 24ab

Question 8 options:

4

4a

2a

120aQuestion 9 (5 points)

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

(7 + a)3Question 9 options:

3(7a)

21 + 3a

10 + 3a

7 + 3aQuestion 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, 4xQuestion 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 unitsQuestion 12 (5 points)

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

36x – 9

Question 12 options:

9(4x – 1)

9x(4 – x)

9x(4 – 9)

cannot be factoredQuestion 13 (5 points)

Add. Use models if needed.

(4x – 4) + (–x + 2)

Question 13 options:

3x – 2

5x – 6

5x + 6

3x + 2Question 14 (5 points)

Simplify each expression.

–7x+4(1 + x)

Question 14 options:

–3x + 4

–11x + 5

–3x + 5

–11xQuestion 15 (5 points)

Find the GCF of each pair of monomials.

15x, 12x

Question 15 options:

60x

x

3x

3Question 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) feetQuestion 17 (5 points)

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

(5 + 1)3Question 17 options:

5 + 3; 8

8 + 4; 12

15 + 3; 18

(6)3; 9Question 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 – 4Question 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 7xQuestion 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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