Name:______
Quiz: Problem Solving with Equations
1. The sum of 8 and 5 times a number is 43. Write an equation that can be used to find the unknown number?
2. A secretary at the police department makes $8 less per hour than the dispatcher. The combined hourly wage of the secretary and the dispatcher is $40.
3. The perimeter of a rectangle is 48 in. If the length is twice the width, what is the length of the rectangle?
4. A magazine sales person earns $250 a week plus a commission of of the total sales. If the total sales for the week were $693, what is the total that the sales person earned?
5. The sum of three consecutive integers is 81. What is the largest integer?
6. A 180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is six times as long as the first.
What is the length of the first piece of the board?
7. Jim wanted to know the age of his math teacher, Ms. Greenberg. The teacher said that if he added 28 to her age and then doubled it, the total would be 120.
How old is Jim's teacher?
8. The difference of 5 times a number and 8 is 27. Write an equation that can be used to find the unknown number?
9. The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, write an equation that could be used to find the depth of the pool?
10. Marcos drove twice as far as Candice. Together, they drove 66 miles. Write an equation that can be used to find the number of miles Candice drove?