Solve Linear Equations Algebra 2 Review

Which graph represents a system of linear equations that has exactly one solution? (Select all that apply)

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Which graph represents a system of linear equations that has no solution?

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Which graph represents a system of linear equations that has multiple common solutions?

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Solve:

3x - y = 28

3x + y = 14

• (8, -4)

• (-7, 7)

• (7, -7)

• (-4, 8)

How many solutions does the system of equations have?

y =3x-2

-6x+2y=4

• None

• Exactly One

• Exactly 2

• Infinitely Many

Identify the solution to the system of equations.

• (2, 2)

• (0, 3)

• (0, 2)

• (6, 2)

x + 8y = 7

2x + 8y = 6

• (-1, -1)

• (0,0)

• (-1, 1)

• No solution

Jack is taking a math quiz. He needs to solve at least 10 geometry and algebra problems within 3 hours (180 minutes). Jack takes 30 minutes to solve a geometry problem and 10 minutes to solve an algebra problem.

Which system of inequalities can be used to determine the number of geometry problems (g) and the number of algebra problems (a) Jack can solve?

• g + a > 10

  30g + 10a > 180

• g + a < 10

  30g + 10a > 180

• g + a > 10

  30g + 10a < 180

• g + a < 10

  30g + 10a < 180

Identify they system that matches the graph.

• y ≥ -x - 1

  y < x + 4

• y > -x - 1

  y ≥ x + 4

• y < -x - 1

  y ≥ x + 4

• y > -x - 1

  y ≥ x + 3

Which two ordered pairs are a solution to the system of inequalities? (Select all that apply)

• (1, -2)

• (3, 4)

• (-3, 2)

• (0, 3)

• (3, 2)