Class 7 Solving Equations — practice questions with answers

Simple Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Solve for x: x + 5 = 12

Ax = 7
Bx = 17
Cx = 5
Dx = 12

Show answer

Answer: A) x = 7

Transpose 5 to the right: x = 12 - 5 = 7.

2. Solve for x: 3(x - 4) = 9

Show answer

Answer: B) 7

x - 4 =

\frac{9}{3}

= 3, so x = 3 + 4 = 7. (Or 3x - 12 = 9, 3x = 21, x = 7.)

3. A pencil costs Rs x. Arjun buys 5 such pencils and pays Rs 35.
Write an equation for the cost of one pencil and solve it.
What is the cost of one pencil?

ARs 7
BRs 5
CRs 30
DRs 175

Show answer

Answer: A) Rs 7

5x = 35, so x =

\frac{35}{5}

= Rs 7 per pencil.

4. A number is decreased by 9 and the result is then doubled to give 14.
Let the number be x, so 2(x - 9) = 14.
Solve the equation and find the number.

Show answer

Answer: B) 16

2(x - 9) = 14, so x - 9 = 7 and x = 16.

5. Half of a number added to one-third of the same number gives 25.
Let the number be x, so

\frac{x}{2} + \frac{x}{3}

= 25.
Solve the equation for x.

Show answer

Answer: A) 30

Combine over 6:

\frac{3 x + 2 x}{6}

= 25, so

\frac{5 x}{6}

= 25, 5x = 150, x = 30.

Practise all 50 questions free →

10 free questions a day without an account — unlimited with a free account.