WorksheetsSolving, Writing, & Graphing 1 & 2 Step Inequalities 2021
Total questions: 30
Worksheet time: 59mins
Name
Class
Date
1.
x − 4 ≤ 6
a)
x ≤ 10
b)
x ≥ 10
c)
x ≥ 2
d)
x ≤ 2
2.
y + 7 ≥ 12
a)
y ≥ 5
b)
y ≤ 5
c)
y ≥ 19
d)
y ≤ 19
3.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
4.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
5.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
6.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
7.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
8.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
9.
Which graph matches the inequality
k ≤ 3?
a)
A
b)
B
c)
C
d)
D
10.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
11.
Describe the graph for the solution for the following inequality:
a + 13 ≥ 20
a + 13 ≥ 20
a)
Closed circle; arrow pointing left
b)
Open circle; arrow pointing left
c)
Closed circle; arrow pointing right
d)
Open circle; arrow pointing left
12.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5
13.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
14.
There are no more than 18 students on the hall.
a)
s>18
b)
s<18
c)
s≤18
d)
s≥18
15.
There are fewer than 150 children at the playground.
a)
c<150
b)
c>150
c)
c≤150
d)
c≥150
16.
At least 25 cats are on my porch.
a)
c<25
b)
c>25
c)
c≤25
d)
c≥25
17.
Grace has $45 at most in her purse.
a)
g<45
b)
g>45
c)
g≤45
d)
g≥45
18.
Today's temperature will be at least -4 degrees.
a)
t < -4
b)
t > -4
c)
t ≤ -4
d)
t ≥ -4
19.
If m > 17, which is a possible value for m?
a)
12
b)
10
c)
23
d)
7
20.
If s ≤ 35, which is NOT a solution of the inequality?
a)
25
b)
35
c)
42
d)
30
21.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
22.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
23.
Solve for k.
7k – 2 ≥ -9
7k – 2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
24.
Solve for k.
-2k - 9≤ -19
a)
k ≥−5
b)
k ≤ −5
c)
k <5
d)
k > 5
25.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
26.
Solve
a)
a≤1
b)
a≤25
c)
a>1
d)
a<25
27.
When we multiply or divide an inequality by a negative we ____________.
a)
keep the inequality symbol the same
b)
flip the inequality symbol
c)
make it equal only
d)
make it less than only
28.
Do I need to flip my sign?
3x ≥ -12
a)
Yes
b)
No
29.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
30.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
100 %
