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Worksheets

Inequalities and Graphing Concepts

Total questions: 20

Worksheet time: 2hrs 43mins

Name
Class
Date
1.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
2.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
3.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
4.
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
5.

Which of the following is a solution to the systems of inequalities?

a)

(1, -5)

b)

(2, 3)

c)

(-2, 3)

d)

(-1, 1)

6.

Which of the following is a solution to the systems of inequalities?

a)

(-1, -3)

b)

(3, 0)

c)

(-2, 2)

d)

(4, 1)

7.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
8.
Write an inequality represented by the graph.
a)
x < - 3
b)
y < - 3
c)
x > - 3
d)
x ≥ - 3
9.
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.
10.

When graphed, the line will be...

5 ≥ x

a)

Solid

b)

Dashed

c)

Zig-Zag

11.
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
12.
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
13.
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.
14.
Which inequality is graphed on the given coordinate plane?
a)
 y > x + 1
b)
y < x + 1
c)
y ≥ -x + 1
d)
y ≤ -x + 1
15.
An inequality using a > or a < has a ___________ line
a)
invisible
b)
solid
c)
dashed
16.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 3
d)
y > 3x   and  y < -2x + 4
17.

Translate the following:


2x - 8 ≤ 3

a)

Eight less than twice a number is less than or equal to 3

b)

A number squared less than eight is less than 3

c)

Twice a number less than eight is less than 3

d)

Eight less than a number squared is less than or equal to 3

18.
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
b)
b + t > 15
3b + 6t < 66
c)
3b + 6t > 15
b + t < 66
d)
3b + 6t < 15
b + t < 66
19.

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

20.

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 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40