Expressions, equations, formulae Quiz - Mathematics Algebra

Free practice quiz: Expressions, equations, formulae (Mathematics Algebra). 14 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Algebra practice quiz has 14 multiple-choice questions on Expressions, equations, formulae, and 14 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. Evaluate 2x² + 3 when x = −2

   1. 19
   2. −5
   3. 7
   4. 11
   Show answer

   Answer: D. 11

   x² = 4, so 2 × 4 + 3 = 11.

2. Expand x²(3x − 4)

   1. 3x² − 4x
   2. 3x³ − 4
   3. 3x³ + 4x²
   4. 3x³ − 4x²
   Show answer

   Answer: D. 3x³ − 4x²

   Multiply each term: x² × 3x = 3x³, x² × (−4) = −4x².

3. Make r the subject of C = 2πr

   1. r = C/(2π)
   2. r = 2πC
   3. r = C − 2π
   4. r = C/π
   Show answer

   Answer: A. r = C/(2π)

   Divide both sides by 2π.

4. Solve 5x − 3 = 2x + 9

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

   Answer: D. 4

   3x = 12, so x = 4.

5. Which inequality means x is between 2 and 5, including 2 but not 5?

   1. 2 < x < 5
   2. 2 ≤ x ≤ 5
   3. 2 ≤ x < 5
   4. 2 < x ≤ 5
   Show answer

   Answer: C. 2 ≤ x < 5

   Include 2 means ≤; exclude 5 means <.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Evaluate x³ − 2y when x = 2 and y = −3
2. Factorise 12x + 18 fully
3. Write an expression: half of a number n, minus 4
4. Make x the subject of y = 3x − 7
5. Make t the subject of v = u + at
6. Solve 4(x − 2) = 2x + 4
7. Solve (x + 3)/2 = 7
8. Which integers satisfy −1 < x ≤ 3?
9. Which value satisfies x ≥ 2 and x < 5?

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