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One-Step Linear Equations
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One-Step Linear Equations
Solve each equation by keeping both sides equal. Use inverse operations, show working where asked, and check solutions by substitution when prompted.
Understanding equations
1.What does the equal sign tell you in the number sentence 9 + 4 = 8 + 5?
- The numbers on the left must be added first.
- The expressions on both sides have the same value.
- The right side is the answer to the left side.
- The sign means to multiply.
2.Select every true number sentence.
- 6 + 7 = 10 + 3
- 18 − 5 = 4 × 3
- 24 ÷ 6 = 3 + 2
- 9 + 8 = 20 − 3
3.In the equation p + 6 = 14, what value must p have to make the equation true?
Addition and subtraction equations
4.Solve a + 9 = 16. Show the inverse operation you use.
5.Solve b + 4 = 13. Show your working.
6.Solve c − 7 = 8. Show your working.
7.Solve d − 5 = 11. Show your working.
8.Check the solution a = 7 for a + 9 = 16 by substituting it into the original equation. State whether it works.
Multiplication and division equations
9.Solve 4r = 28. Show the inverse operation.
10.Solve 6s = 42. Show your working.
11.Solve t ÷ 5 = 8. Show your working.
12.Solve u ÷ 4 = 9. Show your working.
Match each equation to its solution
Write the matching letter beside each equation.
Equations in everyday situations
13.Tevita had some marbles. After giving 9 to her cousin, she had 14 left. Write an equation and find how many marbles she had at first.
14.A bundle of identical notebooks costs $4 per notebook. The total cost is $32. Write an equation and find the number of notebooks in the bundle.
15.True or false: The equation g − 8 = 15 has the same solution as g = 15 + 8. Give the value of g to support your choice.
TrueFalse
16.Complete both statements: To solve x + 7 = 19, I should 7 from both sides. To solve 3y = 24, I should both sides by 3.
17.Describe how checking an answer by substitution can show whether a one-step equation has been solved correctly.
3 printable pages
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Page 2
Page 3
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