Practice set · Grades 6 to 8

Pre-Algebra practice problems

10 problems with answers, grouped by topic.

Stuck? Open the Pre-Algebra hub for the worked examples.

Order of operations

Solve each problem. Then open the answer to check.

  1. 6+4×26 + 4 \times 2

    Show answer

    1414

  2. 3×(5+1)3 \times (5 + 1)

    Show answer

    1818

  3. 23+52^3 + 5

    Show answer

    1313

  4. 20−12÷420 - 12 \div 4

    Show answer

    1717

Integers

Solve each problem. Then open the answer to check.

  1. −6+9-6 + 9

    Show answer

    33

  2. 5−85 - 8

    Show answer

    −3-3

  3. −4+(−7)-4 + (-7)

    Show answer

    −11-11

Ratios, rates and proportions

Solve each problem. Then open the answer to check.

  1. x5=410\frac{x}{5} = \frac{4}{10}

    Show answer

    x=2x = 2

  2. 34=x12\frac{3}{4} = \frac{x}{12}

    Show answer

    x=9x = 9

  3. 240 km in 4 hours240 \text{ km in } 4 \text{ hours}

    Show answer

    60 km per hour60 \text{ km per hour}

Need the method?

Every Pre-Algebra topic has worked examples, step by step.

Open the Pre-Algebra hub