3.2.1 Systems of Inequalities

Front

Write an inequality represented by the graph.

Back

x > - 3

Front

Which point is a solution to both inequalities? Options: (-10,-5), (-20,25), (40,30), (40,-10)

Back

(40,30)

Front

Which point is in the overlap (solution) of the shaded region? Options: (5,0), (-1,8), (1,15), (10,5)

Back

(5,0)

Front

Which point is part of the solution? Options: (4,0), (0,4), (10,5), (5,10)

Back

(5,10)

Front

Equation for equal charges: Company 1: $9.65x + $43, Company 2: $8.40x + $58

Back

y = 9.65x + 43
y = 8.40x + 58

Front

Which point is a solution? Options: (0, 6), (-3, 5), (1, 0), (-4, 3)

Back

(1, 0)

Front

Alexandra's haircuts and hair dyes time: 3 haircuts + 2 hair dyes = 315 minutes; 2 haircuts + 4 hair dyes = 450 minutes. Which system of equations represents this situation?

Back

3x + 2y = 315; 2x + 4y = 450

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

Is the ordered pair (-3, 0) a solution of the system?
y ≤ x + 4
y ≥ 2x - 6

Back

Yes

Front

Write the system of inequalities for the movie theater 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