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Mixed Two-Step Equations
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Mixed Two-Step Equations
A snack stall’s order board has lost some numbers. Solve each equation to find the missing value. Show your working by undoing operations in reverse order. Check your answer by substituting it back into the equation.
Solve the orders
Use inverse operations to find each value of x.
1.The stall packs juice boxes into 4 equal crates, with 3 extra boxes left over. There are 31 boxes altogether. Let x be the number of boxes in each crate. Write and solve an equation.
2.Solve 3x + 5 = 20. Show how you undo the addition and multiplication.
3.A tray holds 4 equal rows of muffins, plus 2 extra muffins. There are 26 muffins altogether. Let r be the number in each row. Write an equation and solve.
4.Solve 5y − 7 = 18. Choose the correct value of y.
- 3
- 5
- 7
- 25
Spot, solve and check
Keep an eye on negative numbers and reversed operations.
5.True or false? If 2a + 9 = 21, then a = 6. Substitute to check.
TrueFalse
6.Solve 18 − 2m = 8. Remember that subtracting 18 first gives a negative coefficient.
7.The stall sells a bundle of 3 savoury rolls for $x each? The total for 3 identical rolls plus a $2 drink is $17. Write an equation and find the price of one roll.
8.Fill in the blank so the equation is true: 4p + 6 = 30, so after subtracting 6, 4p = .
9.Solve 7 + 3q = 31, then check your value by substitution.
10.A fundraiser begins with $12 in a cash tin. After spending $4 on supplies, the remaining money is shared equally between 2 jars, with $x in each jar. Write and solve an equation for x.
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