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Math Grade 9-12 Answer Key

Linear Equations

Solve one- and two-step equations, graph lines, and interpret slope and intercept.

Answer Key
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Linear Equations

Solve one- and two-step equations, graph lines, and interpret slope and intercept.

Math - Grade 9-12

Instructions: Solve each equation or problem. Show all algebraic steps. Leave fractions in simplified form.
  1. 1

    Solve for x: 3x - 7 = 14.

    x = 7
  2. 2

    Solve for x: 2(x + 5) = 18.

    x = 4
  3. 3

    Write the equation of a line that passes through (0, 3) with a slope of -2.

    y = -2x + 3
  4. 4

    Find the slope of the line passing through (2, 5) and (6, 13).

    m = 2
  5. 5

    Solve for x: 4x + 3 = 2x - 9.

    x = -6
  6. 6

    Find the x-intercept of the line y = 3x - 9.

    x = 3
  7. 7

    A phone plan charges $30 per month plus $0.10 per text message. Write an equation for the total cost C in terms of the number of texts t.

    C = 0.10t + 30
  8. 8

    Using the equation from the previous problem, how many texts were sent if the monthly bill was $55?

    250 texts
LivePhysics.com Math - Grade 9-12 - Answer Key

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