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Equations and Inequalities Review

Total questions: 31

Worksheet time: 52mins

Name
Class
Date
1.
h  -  ( -21 ) =  -9
a)
h  =  -30
b)
h  =  30
c)
h  =  12
d)
h  =  -12
2.
y  + ( -4 ) ≥ 15
a)
y  ≤  19
b)
y  ≥  19
c)
y  ≤  11
d)
y  ≥  11
3.
2x  <  -14
a)
x  <  7
b)
x  >  7
c)
x  <  -7
d)
x  >  -7
4.
r - ( -4) > 12
a)
r  >  8
b)
r  <  8
c)
r  >  16
d)
r  >  48
5.
- 15x  ≤  -225
a)
x  ≥  15
b)
x  ≤  15
c)
x  ≥ -15
d)
x  ≤  -15
6.
p  -  ( -7)  =  -32
a)
p  =  39
b)
p  =  -39
c)
p  =  25
d)
p  =  -25
7.
What type of circle is used to indicate the symbol   ≥  or  ≤  ?
a)
Filled circle
b)
Open circle
8.
What type of circle is used to indicate the symbols  <  or  >  ?
a)
Open circle
b)
Filled circle
9.
-5x  <  35
a)
x  <  -7
b)
x  >  -7
c)
x  <  7
d)
x  >  7
10.
What direction will the arrow go if you graph this on a number line?    What type of circle?  -24x   ≥   48
a)
Left; closed
b)
Right; closed
c)
Left; open
d)
Right; open
11.
Will you need to flip the inequality sign for this problem?
-5x  >  25
a)
Yes
b)
No
12.
Will you need to flip the inequality sign for the following problem?   -3  +  x  >  19
a)
Yes
b)
No
13.
-9j  -  19  =  -37
a)
j  =  2
b)
j  =  -2
c)
j  =  -3
d)
j  =  3
14.
What is a possible solution set to
  x  +  7  ≤  -9 ?
a)
-2,  0,  2
b)
-5,  -4,  -3
c)
-18,  -17,  -16
d)
-16,  -15,  -14
15.
What sign do you get when you divide two negative numbers?
a)
Positive
b)
Negative
16.
What is the inverse of multiplication?
a)
Addition
b)
Subtraction
c)
Division
17.
What is a possible solution set to the following problem?
-8m  >  40
a)
-5,  -4,  -3 
b)
-4,  -3,  -2
c)
-5,  -6,  -7
d)
-6,  -7,  -8
18.
WHat number is less than -6?
a)
-7
b)
-5
19.
What number is greater than -23?
a)
-22
b)
-24
20.
What is the solution set to the following?
-4f  ≤  -20
a)
-5,  -6,  -7
b)
5,  6,  7
c)
-16,  -17,  -18
d)
16,  17,  18
21.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
22.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
23.

3y – 8 = – 29

a)

y = -18

b)

y = - 12.3333

c)

y = -7

d)

y = 7

24.

             α−4+7 = 11\frac{\alpha}{-4}+7\ =\ 11  

a)

a = 8

b)

a = -16

c)

a = 1

d)

a = -1

25.

Which of the following would satisfy the equation:  2(x+4)=−42\left(x+4\right)=-4  (Hint: Use substitution!)

a)

-2

b)

-4

c)

-6

d)

-8

26.

Solve the inequality.  12α−5≥−3\frac{1}{2}\alpha-5\ge-3  

a)

 α≥−16\alpha\ge-16  

b)

 α≥4\alpha\ge4  

c)

 α≥2\alpha\ge2  

d)

 α≤4\alpha\le4  

27.

 g−6+2≤14\frac{g}{-6}+2\le14  

a)

 g≥−72g\ge-72  

b)

 g≤−72g\le-72  

c)

 g≥−2g\ge-2  

d)

 g≤18g\le18  

28.

Which of the following values satisfy the inequality:  −9>2x−7-9>2x-7  

a)

1

b)

0

c)

-1

d)

-2

29.

What value of x satisfies the equation

a)

6.0

b)

3.5

c)

5.0

d)

7.5

30.

What value of x satisfies the equation?

a)

5.2

b)

6.0

c)

3.5

d)

5.0

31.

What value of x makes the equation true?

a)

4.5

b)

126

c)

.22

d)

18