WorksheetsSystems of Inequalities
Total questions: 14
Worksheet time: 3570secs
y < 2
y < 2
y < 2
y < -2
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?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
What's the difference between systems of equations and systems of inequalities?
Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.
Systems of equations use slope-intercept form only while systems of inequalities use standard form only.
Systems of equations have a shaded region while systems of inequalities do not.
There is no difference.
Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?
x + y < 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y > 20
x + y < 10
2x + 3y > 20
3b + 6t > 66
3b + 6t < 66
b + t < 66
b + t < 66
x+y=87
1.5x+0.5y=87
1.5x+0.5y=87
x+y=87
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
7.5x+5.5y≥2000
7.5x+5.5y≥2000
7.5x+5.5y≤2000
7.5x+5.5y≤300
