WorksheetsSystem of Inequalities
Total questions: 5
Worksheet time: 41mins
Name
Class
Date
1.
Write the inequality
a)
y>-5x-3
b)
y≥-5x-3
c)
y<-5x-3
d)
y≤-5x-3
2.
Write the system of inequalities
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
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
a)
x+y≤300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
b)
x+y<300
7.5x+5.5y≥2000
7.5x+5.5y≥2000
c)
x+y≤300
7.5x+5.5y≤2000
7.5x+5.5y≤2000
d)
x+y>2000
7.5x+5.5y≤300
7.5x+5.5y≤300
3.
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
a)
b + t < 15
3b + 6t > 66
3b + 6t > 66
b)
b + t > 15
3b + 6t < 66
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
b + t < 66
d)
3b + 6t < 15
b + t < 66
b + t < 66
4.
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?
a)
x + y ≥ 6
32x + 20y ≤ 150
b)
x + y ≥ 632
x + 20y ≥ 150
c)
x + y ≤ 6
32x + 20y ≤ 150
d)
x + y ≤ 6
32x + 20y ≥ 150
5.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
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