# 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 2 (5 points)

*Subtract. Use models if needed.*

(–4

*x* + 7) – (5

*x* – 9)

## Question 3 (5 points)

*Subtract. Use models if needed.*

(12

*x* + 3) – (2

*x* + 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.

x + 5 |

## Question 5 (5 points)

*Add. Use models if needed.*

(4

*x* – 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 + 10

*a* – 5 –

*a*

## Question 8 (5 points)

Find the GCF of each pair of monomials.

20

*a*, 24

*ab*

## 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.

–6*x* + 5 *y* + 4*x* + 9

## Question 11 (5 points)

The side lengths of a triangle are given by the expressions 2*x* + 5, 5*x* + 4, and 3*x* + 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.

36

*x* – 9

## Question 13 (5 points)

*Add. Use models if needed.*

(4

*x* – 4) + (–

*x* + 2)

## Question 14 (5 points)

*Simplify each expression.*

–7

*x*+4(1 +

*x*)

## Question 15 (5 points)

Find the GCF of each pair of monomials.

15

*x*, 12

*x*

## Question 16 (5 points)

A rectangular swimming pool has an area of (70*x* + 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 5*x* + 3, 5*x* + 5, and 3*x* – 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.

12*y* + 9*x* + 7*x*

## Question 20 (5 points)

The expression 9*x* represents the number of miles Allison hiked, and 4*x* + 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.