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Two-Step Equation Practice
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Two-Step Equation Practice
Undo addition or subtraction first, then undo multiplication or division. Show your steps, and check each solution by substituting it into the original equation.
Solve and Check
Find the value of the variable in each equation. For each, write the inverse operation you use first and then solve.
1.A number is multiplied by 3, then 5 is added. The result is 20. Write an equation and solve it. Check by substituting your value for x.
2.A number divided by 4, then decreased by 3, equals 7. Solve y ÷ 4 − 3 = 7 and check your answer.
3.A video game score is 6 times a number of bonus points, plus 8 starter points, for a total of 50. Solve 6b + 8 = 50. How many bonus points were earned?
4.Solve 5n − 9 = 26. Which operation should you undo first: divide by 5, add 9, subtract 5, or multiply by 9? Then find n.
5.Solve m ÷ 3 + 4 = 10. Show both inverse operations.
6.True or false? For 2p + 7 = 19, the solution is p = 5. Substitute 5 to justify your decision.
TrueFalse
7.Find the error: Logan solves 4a − 6 = 18 by adding 6 to get 4a = 24, then says a = 24. Explain the mistake and give the correct answer.
8.A streaming service charges a one-time $4 setup fee plus $7 per month. The total paid is $39. Write and solve an equation to find the number of months, t.
9.Solve 3q + 11 = 2. Your answer may be negative. Check it in the original equation.
10.Create a two-step equation with solution x = 4. Use multiplication followed by addition or subtraction, and verify your equation by substituting x = 4.
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