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One-Step Linear Equations
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One-Step Linear Equations
Use an inverse operation to isolate the variable. Show your working, then substitute your answer into the original equation to check it.
Solve one-step equations
Find the value of the variable. Show your steps.
1.Solve: a + 9 = 17
2.Solve: b - 7 = 13
3.Solve: 6c = 42
4.Solve: d ÷ 4 = 8
5.Which operation will isolate x in the equation 5x = 35?
- Add 5 to both sides
- Subtract 5 from both sides
- Multiply both sides by 5
- Divide both sides by 5
6.Write the correct letter beside each equation.
- 1. p + 6 = 19
- 2. q - 8 = 14
- 3. 7r = 56
- 4. s ÷ 3 = 9
- 5. t + 12 = 20
- 6. 4u = 36
- B. Add 8
- F. Divide by 4
- D. Multiply by 3
- E. Subtract 12
- A. Divide by 7
- C. Subtract 6
Equations in everyday situations
For each situation, write an equation and solve it. Include units in your answer when they are given.
7.Rawiri had some dollars in her wallet. After paying $9 for a book, she had $18 left. Let m be the amount she had at first. Write an equation and find m.
8.A tray holds 6 identical muffins. The muffins cost $24 altogether. Let c be the cost of one muffin. Write an equation and calculate c.
9.A lift travels upward 11 floors and reaches floor 16. If f is the floor it started on, write an equation and find f.
10.Four equal-length ribbons have a total length of 36 cm. Let r be the length of one ribbon. Write an equation and find r.
11.A number n is divided equally into 5 groups, and each group contains 7 counters. Write an equation and find n.
3 printable pages
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