Exam 2: Linear Equations and Inequalities

When Kate exercises, she either swims or runs. She wants to spend a minimum of 12 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?

Solve the equation. __________

Solve the equation.

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

Solve for the indicated variable. for

In a right triangle, one of the acute angles is four times as large as the other acute angle. Find the measure of the two acute angles.

Evaluate the expression when x is 7.

Solve the equation.

Solve the equation. t = __________

Travis has a savings account that his parents opened for him. It pays 8% annual interest. His uncle also opened an account for him, but it pays 14% annual interest. If there is $600 more in the account that pays 8%, and the total interest from both accounts is $202, how much money is in each of the accounts?

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

Solve the following inequality using the addition property of inequalities. Graph the solution set.

Solve the equation.

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

Five times the sum of a number and eight is thirty. Find the number.

What percent of 60 is 30? __________ %

Solve the equation. x = __________

What percent of 150 is 30?

Simplify the expression.

Solve the equation.