Expressions, equations, formulae Quiz - Mathematics Algebra

Free practice quiz: Expressions, equations, formulae (Mathematics Algebra). 27 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Algebra practice quiz has 27 multiple-choice questions on Expressions, equations, formulae, and 27 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. In 3x + 5 = 20, what does x represent?

   1. an unknown
   2. a constant
   3. a formula
   4. an interval
   Show answer

   Answer: A. an unknown

   x stands for a number we must find.

2. Write an expression: add 7 to a number n, then multiply by 3

   1. 3n + 7
   2. 3(n + 7)
   3. n + 21
   4. 3n + 21
   Show answer

   Answer: B. 3(n + 7)

   Add first, then multiply: 3 × (n + 7).

3. Simplify 3a + 5a.

   1. 8a
   2. 15a
   3. 8
   4. 35a
   Show answer

   Answer: A. 8a

   Add the like terms: 3a + 5a = 8a.

4. A rectangle has length l and width w. Which formula gives its area A?

   1. A = l + w
   2. A = 2l + 2w
   3. A = lw
   4. A = l/w
   Show answer

   Answer: C. A = lw

   Area of a rectangle = length × width.

5. Solve 2x + 5 = 17.

   1. 11
   2. 3.5
   3. 12
   4. 6
   Show answer

   Answer: D. 6

   Subtract 5: 2x = 12. Divide by 2: x = 6.

More questions in this quiz

Answers and explanations are in the full quiz.

1. In the expression 4n, n is a:
2. In C = 2πr, π is a:
3. Evaluate 5a − 2b + c when a = 4, b = −1 and c = 3
4. Expand 3(2x + 5)
5. Five pencils cost p each and two pens cost q each. Write the total cost.
6. Simplify 2 × 3x.
7. Work out 4 + 3n when n = 2.
8. What is the first step to work out 6 + 2m when m = 4?
9. Simplify 4x + 3 + 2x − 1.
10. Simplify 5p + 2q − 3p + 4q.
11. Expand 4(x − 3).
12. Tom is t years old. His sister is 4 years younger. Which expression gives his sister's age?
13. A box holds b pens. How many pens are there in 6 boxes and 3 extra pens?
14. A taxi charges $3 per km. Which formula gives the cost C of a journey of k km?
15. Hours h are changed to minutes m. Which formula is correct?
16. Solve 3x = 18.
17. Solve x + 7 = 12.
18. Solve 9 − 2x = 3.
19. I think of a number, multiply it by 4 and add 3. The answer is 23. What is my number?
20. Which inequality means 'x is greater than 3'?
21. Which of these numbers satisfies x < 4?
22. Which value of x satisfies x > −2?

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