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Equations & Inequalities REVIEW-Math 7 Plus

Total questions: 119

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
2.
Solve the equation:
-3 + x = -12
a)
x = 9 
b)
x = -15
c)
x = -9
d)
x = 15
3.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
4.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
5.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
6.
-6p - 3 = 9 
a)
-2
b)
2
c)
6
d)
3
7.
a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

8.
What is the last step to solve this equation:
-3x -11 = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide -3 on both sides.
9.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
10.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
11.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
12.

Write an inequality for: The game's duration is at most 3 hours

a)

d < 3

b)

d > 3

c)

d ≤ 3

d)

d ≥ 3

13.
The minimum height a person must be to ride the Superman Roller-coaster is 54 inches. Which inequality can be used to show this?
a)
S > 54 inches
b)
S ≥ 54 inches
c)
S < 54 inches
d)
S ≤ 54 inches
14.
John needs at least an 80 on his next test in Math class to pass this marking period. Which inequality shows what John needs on his test to pass this marking period?
a)
J > 80
b)
J < 80
c)
J ≥ 80
d)
J ≤ 80
15.
Which figure shows the inequality x > -4?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
16.

Solve: 12 + n ≥ 15

a)

n > 3

b)

n < 3

c)

n ≥ 3

d)

n ≤ 3

17.

Solve : -4x < -12

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

18.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
19.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
20.
Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
21.
-2 (x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
22.

Which statement is true about how you would graph the inequality?

x < 4

a)

Closed dot shade left

b)

Open dot shade right

c)

Closed dot shade right

d)

Open dot shade left

23.

What is the second step to solving this equation?

5x + 15 = 35

a)

Multiply both sides by 5

b)

Subtract 15 from both sides

c)

Divide both sides by 5

d)

Add 15 to both sides

24.

Solve the inequality.


-2x + 12 < 20

a)

x < -4

b)

x > 4

c)

x > -4

d)

x > -8

25.

-12 + 27 =

a)

-39

b)

-15

c)

15

d)

39

26.

What is 3/5 of 40?

a)

24

b)

28

c)

36

d)

120

27.

Solve the equation.


-3x + 9 = -3

a)

x = 4

b)

x = -4

c)

x = -2

d)

x = 2

28.

Which state does NOT border Texas?

a)

New Mexico

b)

Louisiana

c)

Oklahoma

d)

Colorado

29.

Which of the following number is NOT a natural number?

a)

4

b)

19

c)

0

d)

214

30.

Which of the answer choices is a true solution to the inequality 4x + 2 > 10

a)

2

b)

0

c)

-3

d)

4

31.

Which of the following teams is NOT an NFL football team?(Hint: They cheated to win a title.)

a)

Philadelphia Eagles

b)

New England Patriots

c)

Houston Astros

d)

Dallas Cowboys

32.

Which expression is NOT equal to -5 ?

a)

-7 + 2

b)

16 - 21

c)

-13 - (-8)

d)

-4 + 9

33.

Which math fact is true?

a)

A fraction OF a number means multiply

b)

When adding fractions you can cross cancel

c)

7 squared is 14

d)

0 is a natural number

34.
Solve the inequality:
4 ≤ x + 8
a)
x ≤ 12
b)
x ≥ -12
c)
x ≤ -4
d)
 x ≥ -4
35.
-k + 6 > 3
a)
k < -3
b)
k < 3
c)
k > 9
d)
k < 9
36.

 47+w5-4≤-7+\frac{w}{5}  

a)

w ≥ -15

b)

w ≤ -15

c)

w ≥ 15

d)

w ≤ 15

37.
What inequality does the number line graph represent?
a)
x ≤ - 4
b)
x ≥ - 4
c)
x < - 4
d)
x < 4
38.

Which real life situation matches the equation?

100 - 2x = 0

a)

A 100 gallon aquarium is leaking 2 gallons every minute. How many minutes, x, will it take for the aquarium to be empty?

b)

Bryce spends 100 on 2 shirts. How does each shirt cost?

c)

A balloon is 100 feet in the air, the balloon is ascending 2 feet every second. How many seconds, x, until the balloon is 150 feet in the air?

d)

The temperature is 100 degrees and is increasing 2 degrees every hour, how long until the temperature is 110 degrees?

39.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

40.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

41.

When the following inequality is graphed, what will it look like?


y<5

a)

open circle

b)

closed circle

42.

When the following inequality is graphed, what will it look like?


z < - 1/2

a)

open circle

b)

closed circle

43.

When the following inequality is graphed, what will it look like?


"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

44.

When the following inequality is graphed, what will it look like?


2 > f

a)

open circle

b)

closed circle

45.
Is the following item an expression, equation, or inequality.
13 + 6
a)
Expression
b)
Equation
c)
Inequality
46.
Is the following item an expression, equation, inequality.
h ≥ 27
a)
Expression
b)
Equation
c)
Inequality
47.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
48.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
d)
49.
Solve.
a)
x ≤ 14
b)
x < 14
c)
x ≥ 14
d)
x = 14
50.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
51.

What would be the last step in solving the equation X62=12\frac{X}{6}-2=12   ?

a)

Add 2 to both sides

b)

Subtract 2 from both sides

c)

Multiply both sides by 6

d)

Divide both sides by 6

52.

What would be the first step in solving the equation for 2x+7=15?

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide both sides by 2

d)

Multiply both sides by 2

53.

What would be the second step to solving the equation 3m6=153m-6=15   ?

a)

Add 6 to both sides

b)

Subtract 6 from both sides

c)

Multiply both sides by 3

d)

Divide both sides by 3

54.

What would be the first step in solving the equation T45=15\frac{T}{4}-5=15   ?

a)

Add 5 to both sides

b)

Subtract 5 from both sides

c)

Multiply both sides by 4

d)

Divide both sides by 4

55.

The inverse operation for multiplication is

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

56.

The inverse operation for addition is

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

57.

What is the solution to the following inequality? 3m2>73m-2>7  

a)

M > 3

b)

M < 3

c)

M = 3

d)

M > 5/3

58.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

59.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
60.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
61.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
62.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
63.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
64.

Solve: 9 = 2(5x - 3)

a)

x =  12\frac{1}{2}  

b)

x =  72\frac{7}{2}  

c)

x =  32\frac{3}{2}  

d)

x = 5

65.

6+2

a)

6

b)

7

c)

8

d)

9

66.

1+3

a)

1

b)

2

c)

3

d)

4

67.

1+7

a)

7

b)

8

c)

9

d)

10

68.

1+6

a)

7

b)

8

c)

9

d)

10

69.

1+4

a)

1

b)

3

c)

5

d)

7

70.

1+5

a)

4

b)

5

c)

6

d)

7

71.
How do you know if a math problem is an inequality
a)
It has an equal sign
b)
It has a less than or greater than symbol
c)
It has numbers and variables
d)
It does not have an equal sign or less than or greater than symbols
72.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
73.
Which graph matches the inequality 
2.5 ≤ x?
a)
A
b)
B
c)
C
d)
D
74.
What do you call the following symbol: <
a)
Less than
b)
Less than or equal to
c)
Greater than
d)
Greater than or equal to
75.
Where would you place -6?
a)
In the whole number circle because it's a whole number, integer, and rational number.
b)
In the integer circle because it's an integer and rational number only.
c)
In the rational circle because it's only a rational number.
d)
I'm not sure because I don't know what rational means.
76.
What type of circle is used to indicate the symbol   ≥  or  ≤  ?
a)
Filled circle
b)
Open circle
77.
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
78.
In an equation or inequality, you want to get the variable...
a)
on one side
b)
to disappear
c)
by itself
79.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
80.
What do we call a letter in math that represents an unknown number?
a)
Coefficient
b)
Variable
c)
Term
d)
Expression
81.
What number set is represented?
0, 1, 2, 3......
a)
Whole
b)
Rational 
c)
Integers 
d)
Natural
82.

Solve for g:
 112=g2+14-\frac{11}{2}=\frac{g}{-2}+\frac{1}{4}  

a)

 g=49g=\frac{4}{9}  

b)

 g=112g=\frac{11}{2}  

c)

 g=232g=\frac{23}{2}  

d)

 g=712g=\frac{7}{12}  

83.
Solve the equations:
-10 = 3(2x - 8) + 4x
a)
17/5 = x
b)
-17/5 = x
c)
-7/5 = x
d)
7/5 = x
84.

 15(523x)415x+3-\frac{1}{5}(5-\frac{2}{3}x)-\frac{4}{15}x+3  Simplify the expression:

a)

 215x+2\frac{2}{15}x+2  

b)

 215x+2-\frac{2}{15}x+2  

c)

 215x+4-\frac{2}{15}x+4  

d)

 215x2\frac{2}{15}x-2  

85.
What type of circle is used to indicate the symbols  <  or  >  ?
a)
Open circle
b)
Filled circle
86.
What type of circle is used to indicate the symbol   ≥  or  ≤  ?
a)
Filled circle
b)
Open circle
87.
Will you need to flip the inequality sign for this problem?
-5x  >  25
a)
Yes
b)
No
88.
Will you need to flip the inequality sign for the following problem?   -3  +  x  >  19
a)
Yes
b)
No
89.
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
90.
What sign do you get when you divide two negative numbers?
a)
Positive
b)
Negative
91.
What is the inverse of multiplication?
a)
Addition
b)
Subtraction
c)
Division
92.
WHat number is less than -6?
a)
-7
b)
-5
93.
What number is greater than -23?
a)
-22
b)
-24
94.

Who is she?

a)

Anna

b)

Elsa

c)

Olaf

d)

Rapunzel

95.

Solve for x:

-8 + 2x = -4x -26

a)

x = -6

b)

x = -3

c)

x = -7

d)

x = -10

96.

Solve for q:

12 + 5q = 8q - 3

a)

q = 12

b)

q = 9

c)

q = 7

d)

q = 5

97.
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
98.

Who "needs a hug" in ELF?

a)

father

b)

Santa

c)

raccoon

d)

Buddy

99.

I got that going for me....

a)

so that is good.

b)

which is nice.

c)

and that is all.

d)

among other things.

100.

What is the name of the country club in CADDYSHACK?

a)

Rolling Hills

b)

Bushwood

c)

Pebble Beach

d)

Augusta National

101.

How many minutes does it take to save 15% on car insurance?

a)

20 minutes

b)

15 minutes

c)

10 minutes

d)

45 minutes

102.

What number did George Brett wear for the Royals?

a)

3

b)

4

c)

5

d)

7

103.

How many kids does Mrs. Omli have in her family?

a)

3

b)

4

c)

5

d)

13

104.

Who sings SWEET CAROLINE?

a)

Frank Sinatra

b)

Willie Nelson

c)

Neil Diamond

d)

Ray Charles

105.

What is the name of the sister in Phineas and Ferb?

a)

Cara

b)

Candace

c)

Claire

d)

Carly

106.
Which was the first disney movie?
a)
Pinocchio
b)
Frozen
c)
Inside Out 
d)
Snow White and the Seven Dwarfs
107.
Goofy is a...
a)
bear
b)
mouse
c)
dog
d)
duck
108.
What movie are these puppies from?
a)
Lady and The Tramp
b)
Bambi
c)
Jungle Book
d)
101 Dalmations
109.
Who is tigger's friend that is a donkey?
a)
Piglet
b)
Eeyore
c)
Roo
d)
Winnie the Pooh
110.

What kind of animal is Perry?

a)

Platpus

b)

Beaver

c)

Ostridge

d)

Woodpecker

111.

Who is Candace's boyfriend

a)

Ryan

b)

Buford

c)

Baljeet

d)

Jeremy

112.

What shape is Phineas' head?

a)

Triangle

b)

Circle

c)

Rectangle

d)

Oval

113.

Who is Perry's nemesis?

a)

Heinz Doofenshmirtz

b)

Francis Monogram

c)

Carl

d)

Ferb

114.

Who created marvel

a)

Shaquille O'Neal

b)

Pizza delivery dude

c)

Anthony Russo

d)

Stan Lee

115.

What's the kind of metal is Captain America's shield?

a)

Titanium

b)

Iron

c)

Steel

d)

Vibranium

116.

What country is Black Panther from?

a)

United Sates

b)

Wakanda

c)

Africa

d)

Asia

117.

Who is this character?

a)

Ultron

b)

Thanos

c)

Loki

d)

Red Skull

118.

Which NFL team has this mascot?

a)

Baltimore Ravens

b)

Arizona Cardinals

c)

Atlanta Falcons

d)

Seattle Seahawks

e)

Philadelphia Eagles

119.

What number is Jackie Robinson

a)

42

b)

32

c)

3

d)

24