Exam 2: Simplifying Expressions

Solve the equation. Express your answer as an integer or a fraction reduced to lowest terms.

Solve the equation. Express your answer as an integer or a fraction reduced to lowest terms.

Pat is 20 years older than his son Patrick. In 4 years Pat will be twice as old as Patrick. How old are they now? Pat is __________. Patrick is __________.

What percent of 500 is 50? __________ %

What percent of 40 is 20?

Simplify the expression.

One number is five more than twice another. If their sum is decreased by ten, the result is ten. Find the numbers.

The length of a rectangle is 5 inches less than twice the width. The perimeter is 56 inches. Find the length and width. The length is __________ inches. The width is __________ inches.

One number is three less than another. Their sum is nine. Find both numbers.

Nick and Carla Cole are driving separately from San Luis Obispo, California, to the north shore of Lake Tahoe, a distance of 450 miles. Nick leaves San Luis Obispo at 9:00 AM and averages 50 miles per hour on the drive, Carla leaves later, at 4:00 PM but averages 60 miles per hour. Which person arrives in Lake Tahoe first?

Find the solution for the equation.

The perimeter of a square is 40 meters. Find the length of one side. __________ meters

Solve the equation. __________

Simplify the expression.

One angle in a triangle measures twice the smallest angle, whereas the largest angle is twelve times the smallest angle. Find the measures of all three angles.

Use the formula to find if is . __________

When Kate exercises, she either swims or runs. She wants to spend a minimum of 8 hours a week exercising, and she wants to swim 3 times the amount she runs. What is the minimum amount of time she must spend doing each exercise?

Simplify the expression.

Solve the equation by multiplying both sides by -1. __________

The length of a rectangle is 10 inches less than twice the width. The perimeter is 58 inches. Find the length and width.