MathsFreePrintable
Two-Step Equations Practice
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Two-Step Equations Practice
Solve each equation by undoing the operations in reverse order. Show your working where space is provided.
Choose the value of x
Select one answer for each equation.
1.What value of x makes 4x + 7 = 31 true?
- x = 5
- x = 6
- x = 7
- x = 8
2.Solve 5x − 9 = 26.
- x = 5
- x = 6
- x = 7
- x = 8
3.Find x in the equation 3x + 11 = 32.
- x = 6
- x = 7
- x = 8
- x = 9
4.Which value of x satisfies 8x − 6 = 50?
- x = 6
- x = 7
- x = 8
- x = 9
Complete the solving steps
Fill in each blank to show how to isolate x.
5.For 7x + 5 = 40: subtract from both sides; then 7x = ; divide both sides by ; so x = .
6.For 4x − 13 = 19: add to both sides; then 4x = ; divide both sides by ; so x = .
7.For 9x + 6 = 60: subtract from both sides; then 9x = ; divide both sides by ; so x = .
Solve and apply
Write an equation for each situation, then solve it. Show your method.
8.Aisha buys 5 identical notebooks and a £3 pen. The total is £28. If each notebook costs £x, write an equation and find the cost of one notebook.
9.Four identical day passes cost £6 less than £50 altogether. Let p be the price of one pass. Write an equation and calculate p.
10.A number is multiplied by 6, then 8 is added. The result is 56. Use n for the number, write an equation and work out n.
11.Solve 11x − 17 = 71. Show both inverse-operation steps and check your answer in the original equation.
2 printable pages
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Page 2
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