Name:______

Lesson Quiz Problem Solving Equations & Formulas

1.Isabella purchased 3 books from the book store. She now owns 11 books that she wants to read before the end of the year. If x represents the number of books she started with, write an equation that could be used to determine the value of x?

2.At a park, 96 brown-bag lunches were given out in thirty minutes. If 29 bags remain and x represents the starting number of brown-bag lunches, write an equation that could be used to determine the value of x?

3.At Jack's Laundromat, 6 of the washers must be replaced. These washers represent of the total number of washers. If w represents the total number of washers, write an equation that could be used to determine the value of w?

4.During the lunch rush, the "catch of the day" is ordered 24 times. If the number of "catch of the day" orders representsof the total lunch orders x, write an equation that could be used to determine the number of lunch orders taken that day?

5.On a restaurant sign, 14 light bulbs must be replaced. These light bulbs represent of the total number of light bulbs on the sign. If b represents the total number of light bulbs, write an equation that could be used to determine the value of b?

6.Four times the difference of 17 and a number is 84. Write an equation that can be used to find the unknown number?

7.The difference of 9 times a number and 2 is 67. Write an equation that can be used to find the unknown number?

8.Eight times the sum of 11 and a number is 123. Write an equation that can be used to find the unknown number?

9.Chris made 4 times as many putts as Paul made at golf practice. Together, they made 60 putts. Write an equation that can be used to find the number of putts Paul made?

10.An instructor makes $15 more per hour than an assistant. If the combined hourly wage of the instructor and assistant is $65, what is the hourly wage of the assistant?

11.A paralegal makes $12 more per hour than an assistant. If the combined hourly wage of the paralegal and assistant is $38, what is the hourly wage of the assistant?

12.The sum of two consecutive integers is 183. What is the smaller integer?

13.The sum of three consecutive integers is 141. What is the smallest integer?

14.The sum of three consecutive integers is . What isthe largest integer?

15.The sum of three consecutive integers is . What is the largest integer?

16.The sum of two consecutive odd integers is . What is the larger integer?

17.The sum of two consecutive even integers is . What is the smaller integer?

18.At a restaurant, Brandy paid twice as much as Katie, and Katie paid $3 more than Stephanie. If the total combined amount they paid was $56, how much did Katie pay?

19.Ky has 3 times more books than Grant, and Grant has 6 fewer books than Jaime. If the total combined number of books is 176, how many books doesJaime have?

20.A fish tank contains as many goldfish as mollies, and there are 6 more guppies than goldfish. If the total combined number of fish in the tank is 22, how many mollies are in the tank?