WorksheetsLinear Inequality Extra Credit assignment
Total questions: 19
Worksheet time: 4hrs 46mins
Name
Class
Date
1.
Which of the following inequalities matches the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
2.
Which of the following inequalities matches the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
3.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
4.
Which ordered pair is a solution of the inequality?
y ≥ 4x – 5
a)
(3, 4)
b)
(3, 0)
c)
(2, 1)
d)
(1, 1)
5.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
6.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
a)
7x + 13y < 81
b)
7x + 13y ≥ 81
c)
7x + 13y ≤ 81
d)
7x + 13y > 81
7.
Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.
a)
57x + 72y ≥ 2700
b)
57x + 72y > 2700
c)
57x + 72y < 2700
d)
57x + 72y ≤ 2700
8.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
9.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
10.
When graphing an inequality, you use a dotted line when you use which symbol?
a)
<, >
b)
≤, ≥
11.
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.
12.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
13.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
14.
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
15.
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
16.
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
17.
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
18.
It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?
a)
2x + 3y ≤ 18
b)
x + y ≤ 6
c)
x + y ≤ 9
d)
3x + 2y ≤ 18
19.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which of the following situations IS A SOLUTION to this question?
a)
35 nachos, 52 sodas
b)
18 nachos, 69 sodas
c)
52 nachos, 35 sodas
d)
61 nachos, 26 sodas
100 %
