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One-Step Linear Equations

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One-Step Linear Equations

Use inverse operations to isolate the variable. Show your steps, then check your answer by substituting it into the original equation.

Inverse operations

Match each operation to the operation that undoes it.

1.To isolate a in the equation a + 11 = 19, which operation should be applied to both sides?
  • Add 11
  • Subtract 11
  • Multiply by 11
  • Divide by 11

Solve addition and subtraction equations

Find the value of the variable in each equation. Show the inverse operation you use.

2.Solve: x + 13 = 31
3.Solve: y − 9 = 16
4.Solve: r + 17 = 42
5.Solve: t − 14 = 23

Solve multiplication and division equations

Use the inverse operation to find each variable.

6.Solve: 7b = 56
7.Solve: c ÷ 6 = 8
8.Solve: 9m = 72
9.Solve: p ÷ 4 = 11

Check and explain

Substitute the suggested value or complete the missing steps.

10.Is x = 9 a solution to x + 6 = 15? Substitute 9 for x and show whether both sides are equal.
11.Is k = 5 a solution to 4k = 28? Substitute 5 for k and state whether the equation is true.
12.Complete the solution: n − 12 = 18. Add to both sides, so n = .

Equations in everyday situations

Write an equation for the unknown amount, then solve it.

13.Mele had some trading cards. After giving 11 cards to a friend, she had 24 left. How many cards did she have at first?
14.Each bus ticket costs $4. If Wiremu spends $28 on tickets, how many tickets does he buy?
15.At sunrise, the temperature was some number of degrees Celsius. It rose by 6°C and reached 19°C. What was the temperature at sunrise?

3 printable pages

  • Inverse operations and practice solving addition and subtraction equations, with an algebra balance illustration.

    Page 1

  • Practice solving multiplication and division equations and checking solutions by substitution.

    Page 2

  • Complete equation steps and solve real-life one-step equation problems involving cards, ticket costs and temperature.

    Page 3

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