# Pre algebra part 2 James Madison – coursefighter.com

Pre algebra part 2 James Madison – coursefighter.com

Mathematics – coursefighter.com

## 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)

(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)

(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