Forming and Solving Simple Equations

Name: _________________________
Date: _________________________

Part A: Form an Equation

Write an equation for each problem. Use the letter given for the unknown.

1.
A number x increased by 7 equals 15.
Equation: _________________________
2.
Five times a number n is 40.
Equation: _________________________
3.
A number y divided by 3 gives 9.
Equation: _________________________
4.
When 12 is subtracted from a number m, the result is 5.
Equation: _________________________

Part B: Solve the Equations

Find the value of the unknown in each equation. Show your working.

5. x + 9 = 23

x = __________

6. a − 6 = 14

a = __________

7. 4p = 32

p = __________

8. k ÷ 5 = 7

k = __________

9. 3t + 5 = 20

t = __________

10. 2w − 7 = 11

w = __________

Part C: Word Problems

Form an equation and solve it to answer each question.

11. Sarah has some marbles. If she gets 8 more marbles, she will have 25 marbles altogether. How many marbles does Sarah have now?

Equation: _________________________

Answer: Sarah has __________ marbles.

12. A rectangle has a length of 12 cm. Its perimeter is 38 cm. What is the width of the rectangle? (Remember: Perimeter = 2 × length + 2 × width)

Equation: _________________________

Answer: The width is __________ cm.

13. James is thinking of a number. When he multiplies it by 6 and then adds 4, he gets 46. What is James's number?

Equation: _________________________

Answer: The number is __________.