Worksheets(05/09) 7th Pd Unit 6 System of Inequalities
Total questions: 8
Worksheet time: 1hrs 20mins
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
Solve the system of inequalities by graphing.
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
y≥0
x+y≥6
3x+2y≥15
y≥0
x+y≤6
2x+3y≤15
y≥0
4000x+y≤6
2x+600y≤15
Jonah is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Write a system of linear inequalities that represent the situation.
xy≥20
3.5+5y≤80
x−y≥20
3.5x+5y≤80
x+y≥20
3.5x+5y≤80
In other words...what are the vertices (corners of the overlapping region) of the feasible region?
(0, 0), (0, 6), (6, 2), (8, 0)
(0, 0), (6, 0), (2, 6), (0, 8)
