Pre algebra part 2 James Madison
Question Description
Question 1 (5 points)
Use the Distributive Property to write each expression as an equivalent algebraic expression.
–9(–x + 5)
Question 2 (5 points)
Subtract. Use models if needed.
(–4x + 7) – (5x – 9)
Question 3 (5 points)
Subtract. Use models if needed.
(12x + 3) – (2x + 10)
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.
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Question 5 (5 points)
Add. Use models if needed.
(4x – 12) + (–x + 7)
Question 6 (5 points)
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 7 (5 points)
Simplify each expression.
–4 + 10a – 5 – a
Question 8 (5 points)
Find the GCF of each pair of monomials.
20a, 24ab
Question 9 (5 points)
Use the Distributive Property to write each expression as an equivalent algebraic expression.
(7 + a)3
Question 10 (5 points)
Identify the coefficients in the expression below.
–6x + 5 y + 4x + 9
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 12 (5 points)
Factor each linear expression. If the expression cannot be factored, write cannot be factored.
36x – 9
Question 13 (5 points)
Add. Use models if needed.
(4x – 4) + (–x + 2)
Question 14 (5 points)
Simplify each expression.
–7x+4(1 + x)
Question 15 (5 points)
Find the GCF of each pair of monomials.
15x, 12x
Question 16 (5 points)
A rectangular swimming pool has an area of (70x + 10) square feet. Find possible dimensions of the pool.
Question 17 (5 points)
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
(5 + 1)3
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 19 (5 points)
Identify the like terms in the following expression.
12y + 9x + 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.
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