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AQT Solving Inequalities

Total questions: 50

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
-13t > 26
a)
t > -2
b)
t > 2
c)
t < 2
d)
t < -2
2.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
3.
X + 6 > 10
a)
X > 16
b)
X > -4
c)
X < -4
d)
X > 4
4.
-7x + 15 ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≤ 5
5.
3(x-2)<2(x+9)
a)
x<24
b)
x>-24
c)
x<12
d)
x>18
6.

Which inequality symbol has a graph with an open (empty) circle?

a)

<

b)

≤

7.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
8.
a)
A)
b)
B)
c)
C)
d)
D)
9.
a)
A)
b)
B)
c)
C)
d)
D)
10.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

11.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
12.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
13.
5z - 2 - 2z < 13
a)
z > 5
b)
z < 5
c)
z > 1
d)
z < 1
14.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
15.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
16.

Solve:

5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

17.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
18.
3(x-2)<2(x+9)
a)
x<24
b)
x>-24
c)
x<12
d)
x>18
19.
What inequality does the number line graph represent?
a)
x <= 4
b)
x>= -4
c)
x < -4
d)
x < 4
20.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

21.
Solve for x
a)
1/2
b)
25/8
c)
11
d)
53/4
22.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
23.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
24.
a)
x > 2
b)
x > 5
c)
x >15
d)
x > 50
25.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
26.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
27.
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
28.
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)
29.
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.
30.

You solve an inequality and get -12 >> 12. What does this mean?

a)

The solution to the inequality is -12

b)

There is no solution to the inequality

c)

The solution to the inequality is 12

d)

The solution is All real numbers

31.

When solving an equation, you get 12=12. What does this mean?

a)

The solution to the equation is 12

b)

All real numbers is the solution to the equation

c)

There is no solution to the equation

32.
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
33.
Which inequality is graphed on the given coordinate plane?
a)
 y  < 2x +2
b)
y > 1/2x - 2
c)
 y ≥ - 2x +2
d)
 y ≥ 2x - 2
34.
This graph represents the inequality  y < 3, TRUE or FALSE?
a)
TRUE
b)
FALSE
35.
The given graph represents the inequality  x < -1, TRUE or FALSE?
a)
TRUE
b)
FALSE
36.
Which ordered pair(s) is a solution to the given system?
a)
(5, -5)
b)
(0,0)
c)
(-5, -2)
d)
(3,-3)
37.
Which ordered pair(s) is a solution to the given system?
a)
(5,0)
b)
(1,-3)
c)
(3,3)
d)
(2,1)
38.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
39.

Check all the solutions to the following compound inequality.

X < -2 OR X > 7

a)

-2

b)

8

c)

0

d)

-4

e)

1

40.

Two inequalities connected with the words And or OR are called _________ inequalities.

a)

simple

b)

compound

c)

equal

d)

complex

41.
Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 
a)
yes
b)
no 
42.
Solve 24 > -3r > -9 
a)
-8 < r < 3
b)
-8 > r > 3
c)
r > - 8 and r > 3 
d)
r > -8 or r < 3
43.
Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 
a)
Yes 
b)
No 
44.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
45.
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
46.
What are the solutions?
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
47.
Solve.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
48.
 |−2n| = −75
a)
{5,6}
b)
{75/2,-75/2}
c)
{-5,5}
d)
No Solution
49.
|6n| ≤ 18
a)
9>n<7
b)
-3 ≤ n ≤ 3
c)
-2≤ n≤ 8
d)
-7>n≤ -7
50.
|b-8|+10>22
a)
-4<b<20
b)
b<-4 or b>20
c)
20<b<-4
d)
b=-4 or b=20

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