Free Printable Linear Inequalities Word Prolems 3

1.

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 as many as 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?

a)

$x+y<10$

$2x+3y\ge20$

b)

$x+y\le10$

$2x+3y\ge20$

c)

$x+y\le10$

$3x+2y\ge20$

d)

$x+y<10$

$3x+2y\ge20$

2.

Which system of inequalities describes the following situation:
Carlos works at a movie theater selling tickets. The theater has $300$ seats and charges $ $7.5$ for adults and $ $5.5$ for children. The theater expects to make at least $ $2000$ for each showing

a)

$x+y\le300$ $7.50x+5.50y\ge2000$

b)

$x+y<300$ $7.50x+5.50y>2000$

c)

$x+y\le300$ $7.50x+5.50y\le2000$

d)

$x+y\le2000$ $7.50x+5.50y\ge300$

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 allows 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?

a)

$b+t\le15$ $3b+6t\ge66$

b)

$b+t\ge15$ $3b+6t\le66$

c)

$3b+6t\ge15$ $b+t\le66$

d)

$3b+6t\le66$ $b+t\le66$

4.

Luka and Dana are making cookies for The 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 this situation?

a)

$x+y\ge6$ $20x+32y\ge150$

b)

$x-y\ge6$ $32x+20y<150$

c)

$x-y\le6$ $32x+20y\le150$

d)

$x+y\le6$ $32x+20y\ge150$

5.

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 $40$ items to sell. Which inequalities represent this situation?

a)

$2x+3y\ge100$

$x+y\le40$

b)

$2x+3y\le100$

$x+y\le40$

c)

$3x+2y\ge100$

$x+y\ge40$

d)

$3x+2y\le100$

$x+y\ge40$

Linear Inequalities Word Prolems 3

Total questions: 5

Worksheet time: 10mins

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