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Graphing Linear Inequalities Standard Form

Total questions: 24

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

Which graph best represents the following inequality?

a)
b)
c)
d)
2.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

3.

Determine whether point (-4,0) is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

4.

What graph matches this inequality?

a)
b)
c)
d)
5.

What graph matches this inequality?

a)
b)
c)
d)
6.

What inequality matches the graph?

a)
b)
c)
d)
7.

Alicia has at most $196 to buy a new baseball glove and a

new baseball bat. Which inequality represents this situation?

a)

y ≤ 196 – x

b)

y ≤ 196 + x

c)

196 ≤ y + x

d)

y x ≥ 196

8.

Beng and Shim have less than $30 for candle–making supplies. The molds x cost $6 each and the wax y is $2 per pound. Which point represents a reasonable number of molds and pounds of wax they could buy?

a)

(3, 4)

b)

(4, 4)

c)

(5, 1)

d)

(3, 6)

9.

An inequality is solved as shown below. Between which two steps is an error made?

a)

Between Step 1 and Step 2

b)

Between Step 2 and Step 3

c)

Between Step 3 and Step 4

d)

Between Step 6 and Step 7

e)

Between Step 7 and Step 8

10.
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
11.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
12.
Which of the following equations match the given graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x > -1
d)
x < -1
13.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
14.
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
15.
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
16.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
17.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
18.
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.
19.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

20.

When I see \le  or  \ge  , I use a ________ line.

a)

Solid

b)

Dashed

21.

When I see  <<  or  >>  , I use a ____________ line.

a)

Solid

b)

Dashed

22.

Which of the following is NOT a solution to the inequality graphed below?

a)

(4, 3)

b)

(-6, 0 )

c)

(0, 0)

d)

(0, 2)

23.
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
24.

Determine whether point (-2,-3) is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes