Exam 1: Review of Algebra

Evaluate:

- + =

Multiply and simplify: ( - 1)²

Simplify: 4 ÷ (-2)

At a certain mall in Ohio,the sales tax is 7%.If the total receipt for a food processor was $160.50,what was the price of the food processor?

Simplify: -2(3 - 5x)

Simplify: 7

The difference between the length of a ramp and the length of the horizontal distance it covers is 4 feet.The square of the vertical distance it covers is 56 feet.What is the length of the ramp?

Simplify and express your answer in terms of positive exponents:

Evaluate:

Perform the operation and simplify your answer:

Simplify:

Simplify:

The volume of a rectangular prism with a square base and height which is 16 times as long as its width is 4 times its width.What are the dimensions of the rectangular prism?

The volume of a rectangular prism with a square base and height which is 27 times as long as its width is 3 times its width.What are the dimensions of the rectangular prism?

Add the algebraic expressions: +

Simplify and express your answer in terms of positive exponents:

( + 2 + )- (4 + 8y +4)

Solve: 3 =

Simplify: -3 + 8