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Linear Equations Practice
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Linear Equations Practice
Solve each equation by keeping both sides balanced. Show your working where space is provided.
One-step equations
Undo the operation acting on the variable.
1.Solve a + 9 = 23. Show the operation you use.
2.Find the value of b in b − 11 = 8.
3.Solve 6c = 42.
4.Which first step will solve 5d = 35?
- Add 5 to both sides
- Subtract 5 from both sides
- Multiply both sides by 5
- Divide both sides by 5
Two-step equations
Reverse the operations in the opposite order to how they act on the variable.
5.Solve 4x + 3 = 27. Show your working.
6.Find n if 7n − 8 = 34. Include both inverse operations in your working.
7.At a bike repair shop, Georgia pays a $4.80 inspection fee and $3.20 for each replacement brake pad. Her bill is $20.80. Write an equation and work out how many brake pads she buys.
Check your understanding
8.True or false: To keep an equation balanced, whatever operation you apply to one side must also be applied to the other side.
TrueFalse
9.Explain how you would solve 3y + 4 = 25. Name the inverse operations and give the value of y.
10.A number is decreased by 5, then the result is doubled. The final value is −18. Write an equation and find the starting number.
3 printable pages
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