Pre algebra part 2 James Madison

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)

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Question 2 (5 points)

Subtract. Use models if needed.

(–4
x + 7) – (5
x – 9)

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Question 3 (5 points)

Subtract. Use models if needed.

(12
x + 3) – (2
x + 10)

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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
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Question 5 (5 points)

Add. Use models if needed.

(4
x – 12) + (–
x + 7)

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Question 6 (5 points)

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

7(7 – 9)

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Question 7 (5 points)

Simplify each expression.

–4 + 10
a – 5 –
a

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Question 8 (5 points)

Find the GCF of each pair of monomials.

20
a, 24
ab

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Question 9 (5 points)

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

(7 + a)3

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Question 10 (5 points)

Identify the coefficients in the expression below.

–6x + 5 y + 4x + 9

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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.

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Question 12 (5 points)

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

36
x – 9

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Question 13 (5 points)

Add. Use models if needed.

(4
x – 4) + (–
x + 2)

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Question 14 (5 points)

Simplify each expression.

–7
x+4(1 +
x)

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Question 15 (5 points)

Find the GCF of each pair of monomials.

15
x, 12
x

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Question 16 (5 points)

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

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Question 17 (5 points)

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

(5 + 1)3

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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.

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Question 19 (5 points)

Identify the like terms in the following expression.

12y + 9x + 7x

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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.

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