Systems of Equations and Inequalities Review

This graph matches which inequality?

• y > 3

• y ≥ 3

• x≥3

• x>3

Given the system, determine a solution.

• No solution

• Infinite solutions

• (-5, 5)

• (5, -5)

Given the graph, determine which is NOT a solution.

• (0, 0)

• (2, -1)

• (-2, -2)

• (-5, 1)

Determine the ordered pair that IS a solution.

• (2, 2)

• (2, 4)

• (3, 2)

• (-3, 2)

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

• (-4, 2)

• (-10, 7)

• (-3, 0)

• (-2, 6)

Solve the following system by graphing.  What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)

What is the solution to the system?

5x + 6y = -10

3x - 2y = -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Use a system of equations to solve for the amount of adult and child tickets Homer sells. Use x for adult tickets and y for child tickets.

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4