Systems of Equations and Inequalities Review

Select ALL the ordered pairs that are solutions to the System of inequalities?

• (0, 6)

• (-3, 4)

• (1, 0)

• (4, 3)

• (5, -5)

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Which system of inequality is shown?

• y ≥ -1/5x - 1/2

  y ≥ -2x - 4

• y > -1/5x - 1/2

  y ≤ -2x - 4

• y ≥ -1/5x - 1/2

  y ≤ -2x - 4

• y > -1/5x - 1/2

  y ≥ -2x - 4

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS. Hint: multiply the bottom one by "-1"

9x - 4y = 7

x - 4y = -17

• (-1,5)

• (-7,5)

• (7,5)

• (3,5)

Using elimination: WHAT IS THE "X" VALUE OF THE SYSTEM?

Remember you are looking for Matching Opposites/You are always adding! Hint: You will have to multiply on this one in order to eliminate.

4x - 6y = -6

-2x - 12y = -12

• x = 0

• y = 1

• x = -1

• y = 0

Select the ALL the systems that have the same solution as the following system below.

-6x + 5y=1

6x + 4y=-10

• -12x + 10y = 2

  6x + 4y = -10

• -30x -30y = 30

  40x + 5y = 10

• 6x + 6y = -1

  6x + 4y = 10

• -6x + 5y = 1

  18x + 12y = -30

Which system of inequalities is shown?

• y ≥ -x - 1

  y ≤ x + 4

• y < -x - 1

  y ≥ x + 4

• y > -x - 1

  y ≥ x + 4

• y > x - 1

  y ≥ x + 3

Is the ordered pair (2, 0) a solution to the following system of inequalities below?

y > -2x + 1

y ≥ 3x + 3

• YES

• NO

Solve by graphing:

3x+y=5

-x-y=1

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