Write and Interpret Systems of Inequalities

Front

Write the system of inequalities for the theater with 300 seats and at least $2000 revenue per showing.

Back

x+y≤300
7.5x+5.5y≥2000

Front

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

Back

(1, 0)

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.

Front

Kate is selling bracelets (x) for $2 and earrings (y) for $3. She needs at least $100 and can make up to 40 pieces. Which inequalities represent this situation?

Back

2x + 3y ≥ 100, x + y ≤ 40

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

Solution to the system of inequalities: (0, 0), (-3, 0), (2, -5), (3, -1)

Back

(2, -5)

Front

When you graph an inequality, you use a solid line with which symbols? Options: ≤, ≥, <, >

Back

≤, ≥

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

When graphing an inequality, you use a dotted line when you use which symbol? Options: <, >, ≤, ≥

Back

<, >