Review Systems of Inequalities

Front

Which point is a solution? Options: (0, 6), (-3, 4), (1, 0), (-4, 3)

Back

(1, 0)

Front

Is (0,0) a solution to the system?

Back

Solution

Front

Is (-2,4) a solution to the system?

Back

Solution

Front

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

Back

y > 3x and y < -2x + 4

Front

Which of the following is not a solution to this system of inequalities? Options: (0,-1), (0,3), (4,0), (6,-2)

Back

(0,-1)

Front

Which system of inequalities matches the graph? Options: y > 2x - 4
y < 2, y < 2x - 4
y < 2, y > 2x - 4
y <  2 , y < 2x - 4
y <   -2

Back

y > 2x - 4
y <  2 

Front

Which system of inequalities is shown? Options: y ≥ -x - 1
y < x + 4, y < -x - 1
 y ≥ x + 4, y > -x - 1
y ≥ x + 4, y > -x - 1
y ≥ x + 3

Back

y > -x - 1
y ≥ x + 4

Front

Write the system of inequalities for the following scenario: Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.

Back

x+y≤300
7.5x+5.5y≥2000

Front

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

Back

x + y ≤ 6; 32x + 20y ≥ 150

Front

What's the difference between systems of equations and systems of inequalities?

Back

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.