Linear Equations (Standard)

Linear Equations: core idea

• 1. A line is parallel to $3x-2y=10$ and passes through $(4,1)$. What is its $y$-intercept?

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• 2. Solve $\frac{x-1}{4}+\frac{x+3}{2}=8$.

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• 3. At what point do $y=5x-9$ and $y=2x+6$ intersect?

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• 4. A phone plan costs $30$ dollars plus $0.08$ dollars per text. Another costs $54$ dollars plus $0.02$ dollars per text. At how many texts do they cost the same?

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• 5. If $f(x)=3x-4$, find $f(2h+1)$.

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• 6. The graph of $y=mx+12$ passes through $(8,-4)$. Find $m$.

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• 7. Solve $2(3x-1)-5=4x+8$.

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• 8. A recipe uses $\frac34$ cup of flour for $6$ cookies. How many cups are needed for $28$ cookies?

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• 9. For which value of $p$ does $4x+p=2(x+9)$ have solution $x=3$?

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