WorksheetsISTEP Inequalities
Total questions: 35
Worksheet time: 2hrs 56mins
Name
Class
Date
1.
Would the graph of y > x - 8 be solid or dotted? And would the shading be above or below the line?
a)
solid and above
b)
solid and below
c)
dotted and above
d)
dotted and below
2.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
3.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
4.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
isolated (by itself)
5.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
e)
a ≥ 11
6.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
7.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
8.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
9.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
e)
-3, 0
10.
Does the given value make the inequality true? x + 9 > 21, when x = 15
a)
True
b)
Not True
11.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
e)
7 < x
12.
X - 10 > 25
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
13.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
14.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
10 < 7x
e)
7 / x < 10
15.
28 > m - 4
a)
m < 32
b)
m > 32
c)
32 > m
d)
m > 24
e)
m < 24
16.
Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.
You are driving, and the maximum speed limit is 55.
a)
s < 55
b)
s > 55
c)
s ≤ 55
d)
s ≥ 55
17.
3g >12
a)
g>36
b)
g<36
c)
g>4
d)
g<4
18.
x/4≤8
a)
x≤2
b)
x≤32
c)
x≤12
d)
x≤4
19.
k/2≥8
a)
k≥16
b)
k≥6
c)
k≥4
d)
k≥10
20.
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
21.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36
22.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
23.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
e)
x is less than -2
24.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
e)
1 ≤ x
25.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
26.
Choose the correct circle type ( open or closed) and the direction of the arrow.
x take away 5 is less than 8
x take away 5 is less than 8
a)
open circle at 8, arrow going right
b)
closed circle at 8, arrow going left
c)
open circle at 8, arrow going left
d)
closed circle at 8, arrow going right
27.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 17
d)
x ≤ 10
28.
6(n + 2) < -72
a)
n < -14
b)
n < 35/3
c)
n < -10
d)
n > -14
29.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 5
d)
a < -5
30.
4(2a + 3) < 3(a - 1)
a)
a < -3
b)
a > -3
c)
a < 3
d)
a > 3
31.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
32.
Solve:
a)
A
b)
B
c)
C
d)
D
33.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
34.
-8<2(x+4) or -3x+4>x-4
a)
No solutions
b)
x<-8 or x<2
c)
x>-8 or x<2
d)
x<-8 and x<2
35.
Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
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