Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step equations to two-step equations, equations with parentheses and equations with variables on both sides, with a check-by-substitution habit throughout.
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Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Solving Linear Equations
8th Grade students (typically ages 13–14) working on linear equations. It is pitched at level 2 · standard.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try 8th Grade Solving Linear Equations Worksheet — Level 1, then check understanding with the 8th Grade Linear Equations Topic Test.
Success TutoringWorksheets8th Grade · Mathematics · Linear EquationsAn equation says that two expressions are equal, like 3x + 5 = 20. To solve it means to find the value of the variable that makes the statement true. Think of the equals sign as the middle of a balance scale: whatever you do to one side, you must do to the other, or the scale tips. Your goal is to get the variable by itself on one side.
To undo an operation, use its inverse. Work backwards through the order of operations: undo any adding or subtracting first, then undo multiplying or dividing.
| Operation in the equation | Undo it with |
|---|---|
| + 7 | − 7 |
| − 3 | + 3 |
| × 4 (as in 4x) | ÷ 4 |
| ÷ 5 (as in ) | × 5 |
One-step: x + 7 = 12 and 4x = 28
Two-step: 3x + 5 = 20
With a fraction: − 2 = 3
With parentheses: 2(x + 3) = 14
Variables on both sides: 5x − 3 = 2x + 9
Answers: 1. x = 13 2. x = 9 3. x = 7 4. x = 15 5. x = 6 6. x = 7
Preview — the PDF contains the full resource.
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Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…
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