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WorksheetsUnit 2: Linear Inequalities CSA Review
Total questions: 22
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
2.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
3.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
4.
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
5.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
6.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
7.
Which ordered pair is a solution of the inequality?
y ≥ 4x – 5
a)
(3, 4)
b)
(3, 0)
c)
(2, 1)
d)
(1, 1)
8.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
9.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
10.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
11.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
12.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
13.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
14.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
15.
Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair.
a)
10x+15y≤480
45x+25y≥250
45x+25y≥250
b)
10x+25y≤200
15x+45y≤480
15x+45y≤480
c)
10x+25y>200
15x+45y<480
15x+45y<480
d)
10x+25y≥200
15x+45y≤480
15x+45y≤480
16.
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
a)
x + y ≥ 25
x + y ≤ 8
x + y ≤ 8
b)
100x + 25 y ≤ 100
2x + 8y ≤ 14
2x + 8y ≤ 14
c)
x + y ≥ 100
8x + 25y ≤ 14
8x + 25y ≤ 14
d)
8x + 25y ≥ 100
x + y ≤ 14
x + y ≤ 14
17.
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?
a)
x + y < 10
2x + 3y ≥ 20
b)
x + y ≤ 10
2x + 3y ≥ 20
c)
x + y ≤ 10
2x + 3y > 20
d)
x + y < 10
2x + 3y > 20
18.
Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?
a)
5x + 10 ≥ 100
b)
5x - 100 ≥ 10
c)
10x + 5 ≤ 100
d)
5x + 10 > 100
19.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
20.
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 one of these is a valid solution?
a)
(3, 2)
b)
(1, 4)
c)
(2, 8)
d)
(5, 1)
21.
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
22.
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
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