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WorksheetsSolving Inequalities 11-23-16
Total questions: 30
Worksheet time: 2hrs 47mins
Name
Class
Date
1.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
2.
8x ≥ -32
a)
x ≥ -4
b)
x ≥ 4
c)
x ≤ -4
d)
x ≥ 4
3.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
4.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
5.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
6.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
7.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
8.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
9.
Will my dot be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
10.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
11.
11x + 16 < 43 + 2x
a)
x ≥ 5
b)
x < 3
c)
x > 5
d)
x ≤ 3
12.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
13.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
14.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
15.
Solve:
3(y+5)≥21
3(y+5)≥21
a)
y≤2
b)
y≥2
c)
y≥12
d)
y≤12
16.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
17.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
18.
<
a)
equal
b)
less than
c)
less than or equal to
d)
at least
19.
≤
a)
equal
b)
less than
c)
less than or equal to
d)
at least
20.
Solve the following inequality:
3x + 4 > 13
3x + 4 > 13
a)
x > 1
b)
x > 3
c)
x = 3
d)
x < 5
21.
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
22.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
23.
a)
A
b)
B
c)
C
d)
D
24.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
25.
What inequality is graphed?
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
26.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
27.
When graphing "AND" inequalites, shading looks like___
a)
Shading that always connects the 2 dots.
b)
Shading that always points away from each dot
c)
2 shaded arrows pointing in same direction(both left)
d)
2 shaded arrows pointing in same direction (both right)
28.
When graphing the solutions to "OR" inequalities, The shading looks like___
a)
Shading that connects the 2 dots
b)
Shading that points away and never crosses.
c)
Shading that points toward each other and ALWAYS crosses
d)
Shading that points opposite, but sometimes crosses.
29.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
30.
Solutions to compound inequalities with an "and" statement must be a solution to....
a)
both inequality statements
b)
neither inequality statements
c)
only one inequality statement
d)
None of the above are true
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