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Learning target:
Students use a table to find solutions to a given linear equation and plot
the solutions on a coordinate plane.
1. Consider the linear equation 𝑥 −
3
2
𝑦 = −2
Will you choose to fix values for x or y? Explain
2. Consider the linear equation 𝑥 −
3
2
𝑦 = −2
Are there specific numbers that would make your computational work
easier? Explain
3. Find five solutions to the linear equation 𝑥 −
3
2
𝑦 = −2
x Linear Equation:
𝒙 −
𝟑
𝟐
𝒚 = −𝟐
y
4. Plot the five solutions to the
linear equation 𝑥 −
3
2
𝑦 = −2
on the coordinate plane.
5. Find five solutions to the linear equation
1
3
𝑥 + 𝑦 = 12
x Linear Equation:
𝟏
𝟑
𝒙 + 𝒚 = 𝟏𝟐
y
6. Plot the five solutions to the
linear equation
1
3
𝑥 + 𝑦 = 12
on the coordinate plane.
7. Find five solutions to the linear equation −𝑥 +
3
4
𝑦 = −6
x Linear Equation:
−𝑥 +
3
4
𝑦 = −6
y
8. Plot the five solutions to the
linear equation−𝑥 +
3
4
𝑦 = −6
on the coordinate plane.
9. Find five solutions to the linear equation 2𝑥 + 𝑦 = 5
x Linear Equation:
2𝑥 + 𝑦 = 5
y
10. Plot the five solutions to
the linear equation
2𝑥 + 𝑦 = 5
on the coordinate plane.

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Linear equations in two variables practice problems

  • 1. Learning target: Students use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.
  • 2. 1. Consider the linear equation 𝑥 − 3 2 𝑦 = −2 Will you choose to fix values for x or y? Explain
  • 3. 2. Consider the linear equation 𝑥 − 3 2 𝑦 = −2 Are there specific numbers that would make your computational work easier? Explain
  • 4. 3. Find five solutions to the linear equation 𝑥 − 3 2 𝑦 = −2 x Linear Equation: 𝒙 − 𝟑 𝟐 𝒚 = −𝟐 y
  • 5. 4. Plot the five solutions to the linear equation 𝑥 − 3 2 𝑦 = −2 on the coordinate plane.
  • 6. 5. Find five solutions to the linear equation 1 3 𝑥 + 𝑦 = 12 x Linear Equation: 𝟏 𝟑 𝒙 + 𝒚 = 𝟏𝟐 y
  • 7. 6. Plot the five solutions to the linear equation 1 3 𝑥 + 𝑦 = 12 on the coordinate plane.
  • 8. 7. Find five solutions to the linear equation −𝑥 + 3 4 𝑦 = −6 x Linear Equation: −𝑥 + 3 4 𝑦 = −6 y
  • 9. 8. Plot the five solutions to the linear equation−𝑥 + 3 4 𝑦 = −6 on the coordinate plane.
  • 10. 9. Find five solutions to the linear equation 2𝑥 + 𝑦 = 5 x Linear Equation: 2𝑥 + 𝑦 = 5 y
  • 11. 10. Plot the five solutions to the linear equation 2𝑥 + 𝑦 = 5 on the coordinate plane.