1. State the problem: Find 10 similar algebra problems involving solving linear equations.
2. Formula and rules: Linear equations are of the form $ax + b = c$ where $a$, $b$, and $c$ are constants.
3. Intermediate work: To solve, isolate $x$ by subtracting $b$ from both sides and then dividing by $a$.
4. Explanation: For example, to solve $3x + 4 = 10$, subtract 4: $3x + \cancel{4} - \cancel{4} = 10 - 4$ gives $3x = 6$.
5. Then divide both sides by 3: $\frac{3x}{\cancel{3}} = \frac{6}{\cancel{3}}$ gives $x = 2$.
6. Similar questions:
1) $2x + 5 = 15$
2) $4x - 3 = 13$
3) $5x + 7 = 27$
4) $6x - 2 = 16$
5) $7x + 1 = 29$
6) $8x - 4 = 20$
7) $9x + 6 = 33$
8) $10x - 5 = 25$
9) $11x + 3 = 35$
10) $12x - 7 = 29$
Linear Equations 19Afdc
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