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Algebra: Solving Two-Step Linear Equations

Part A: Solve each linear equation. Show algebraic inverse operations and select the correct solution.

1.Solve for x in the equation: 4x - 17 = 35

2.An equipment rental company charges a fixed reservation fee of $25 plus $18 per hour of use. If Liam's total rental invoice was $115, which equation models this scenario, and how many hours h did Liam use the equipment?

A25h + 18 = 115; h = 3.88 hours

B18h + 25 = 115; h = 5 hours

C18h - 25 = 115; h = 7.7 hours

D115h + 25 = 18; h = 2 hours

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Grade 7

7.EE.B.4 Key

Algebra: Solving Two-Step Linear Equations

Practice · Independent · 15 min

Master inverse operations, isolate unknown variables, and solve multi-step linear equations in real-world word contexts with full answer key.

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