Name _____________________________
Period _____
Date _________
Solve each problem below by using a five step plan.

Draw a sketch (if necessary)

Define a variable.

Set up an equation.

Solve the equation.

Make sure you answer the question.
1. The sum of 38 and twice a number is 124. Find the number.
2. The product of 10 and three more than a number is 24. Find the number.
3. Carly’s number is four less than twice Henry’s number. The sum of their numbers is
77. Find the number.
4. The sum of two consecutive integers is 83. Find the integers.
5. Find three consecutive integers whose sum is 171.
6. Find four consecutive even integers whose sum is 244.
7. A rectangle is 12 m longer than it is wide. Its perimeter is 68 m. Find its length and
width.
8. The length of a rectangle is 4 cm more than the width. The rectangle’s perimeter is
48 cm. What are the dimensions of the rectangle?
9. The perimeter of a square is numerically equal to its area. Find the dimensions of the
square.
10. Alex has twice as much money as Jennifer. Jennifer has $6 less than Shannon.
Together they have $54. How much money does each have?
11. There are three exams in a marking period. A student received grades of 75 and 81
on the first two exams. What grade must the student earn on the last exam to get an
average of no less than 80 for the marking period?
12. Sam is four inches taller than Elise. Little Tim is half as tall as Sam. Together, the
three heights total 151 inches. How tall is each person?