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Solving Multi-Step Equations

Total questions: 97

Worksheet time: 8hrs 5mins

Name
Class
Date
1.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
2.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
3.
-7(w - 4) + 3w - 27
a)
4w + 15
b)
-4w + 1
4.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
5.
8(x + 5) - 4(x + 4)
a)
4x + 24
b)
4x + 16
6.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
7.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
8.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
9.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
10.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
11.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
12.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
13.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
14.
Which of the following is equivalent to 6(8x -2)?
a)
48x - 6
b)
48x - 12
c)
36x
d)
42x
15.
Which of the following is equivalent to 9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
16.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
17.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
18.
4(p - 6)
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
19.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
20.
4(k + 7)
a)
4k + 28
b)
4k - 28
c)
-4k + 28
d)
4k - 28
21.
9(2g +  3)
a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
22.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
23.
10(8-2x)
a)
80-20x
b)
80+20x
24.
3(6x-5)
a)
18x-15
b)
18x+-15
c)
9+15x
d)
9x-15
25.
5(2x-11)
a)
-10x-55
b)
10x-55
c)
55-10x
d)
10x+55
26.
10(3y+1)
a)
13y+11
b)
30y+10
c)
10y+1
27.
5(4j+2)
a)
20j+10
b)
5j+10
c)
9j+7
28.
9(3w+1)
a)
27w+9
b)
12w+10
c)
9w+1
29.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

30.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

31.
A number on its own that does not change and is without a variable is known as a _______________.
a)
Term
b)
Variable
c)
Coefficient
d)
Constant
32.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
33.
4 is the __________ of 4n.
a)
equation
b)
variable
c)
coefficient
d)
solution
34.
things that are being added or subtracted in an expression
a)
term
b)
variable
c)
factor
d)
coefficient
35.
What is the constant term of:
14 - 8x - 7y
a)
-8
b)
-7
c)
14
d)
none
36.

Identify the coefficients in this expression. 4 + 3x + 5x

a)

3x, 5x

b)

4, 3x, 5x

c)

3, 5

d)

x

37.

Like terms have the same variables and the same exponents.

a)

true

b)

false

38.

Combine like terms to simplify: a + 2a + 7

a)

9a

b)

3a + 7

c)

2a + 7

d)

9

39.

Combine like terms to simplify: 5 + b + 2

a)

7b

b)

7b + 7

c)

7 + b

d)

8b

40.

Combine like terms to simplify: 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

41.

Combine like terms to simplify: 8x - 8d

a)

8

b)

xd

c)

0

d)

They are unlike terms, so cannot be simplified.

42.

Identify the constants in the expression:

7-5x+1

a)

7

b)

1

c)

7 & 1

d)

5

43.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

44.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

45.

10 is the ______ in the expression 10 + 2y

a)

constant

b)

coefficient

c)

variable

d)

like term

46.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
47.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
48.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
49.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
50.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
51.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
52.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
53.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
54.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
55.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

56.

Simplify:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

57.

Simplify:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

58.

Simplify:

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x2

59.

Combine like terms:

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

60.

Combine like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

61.

Simplify:

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

62.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
63.

Combine like terms:

x+y+xy+x

a)

3xy

b)

2x+xy+y

c)

2xy+x

d)

3x+2y

64.
Which country eats the most chocolate (per person)?
a)
USA
b)
China
c)
Columbia
d)
Switzerland
65.
What school did Harry Potter go to? 
a)
Hogwarts 
b)
Forks High
c)
Mystic Falls High
d)
Mizzou
66.

Every year, over 8,800 people injure themselves with what seemingly harmless, tiny object?

a)

Pencil

b)

Eraser

c)

Toothpick

d)

Paperclip

67.
 On a farm a kid is a baby what?
a)
goat
b)
cow
c)
rabbit
d)
human
68.
Where did the Olympic Games originate?
a)
Greece
b)
USA
c)
Canada
d)
Germany
69.
Where is the green light on a standard stoplight?
a)
Bottom
b)
Top
c)
Middle
70.
Which animal sleeps with one eye open?
a)
gorillas
b)
dolphins
c)
snakes
d)
lions
71.

What is the highest grossing movie of 2019?

a)

Frozen II

b)

How to Train your Dragon

c)

The Lego Movie 2

d)

Pets 2

72.

What is the highest grossing movie of 2019?

a)

Captain Marvel

b)

Aladdin

c)

The Lion King

d)

Avengers End Game

73.

Which YouTube video has the most views?

a)

Despacito

b)

The Shape of You

c)

Gangnam Style

d)

See You Again

74.

How many messages are sent on Whatsapp everyday?

a)

25 million

b)

36 million

c)

45 billion

d)

55 billion

75.
Who was the original Disney Princess?
a)
Ariel
b)
Cinderella
c)
Snow White
d)
Jasmine
76.
What was Pixar’s first movie?
a)
Toy Story
b)
A Bug's Life
c)
Finding Nemo
d)
Cars
77.

How many legs does a spider have?

a)

100

b)

4

c)

6

d)

8

78.

What is the name of the toy cowboy in Toy Story?

a)

Buz

b)

Betsy

c)

Wally

d)

Woody

79.

Whose nose grew longer every time he lied?

a)

Pinocchio

b)

Tinkerbell

c)

Peter Parker

d)

Steve Rogers

80.

What colors are the stars on the American flag?

a)

Red

b)

White

c)

Blue

d)

Gray

81.

What is a group of lions called?

a)

Flock

b)

Pride

c)

School

d)

Sleuth

82.

Name Batman’s crime fighting partner?

a)

Robin

b)

Krypto

c)

Bucky Barnes

d)

Kato

83.

What is the largest mammal in the world?

a)

Humans

b)

Rhino

c)

Whale

d)

Elephant

84.

What is the largest state in America?

a)

Texas

b)

California

c)

New York

d)

Alaska

85.

How many bones do sharks have?

a)

132

b)

568

c)

83

d)

0

86.

Which boy band is responsible for the famous line, "It's gonna be MAY?"

a)

The Jackson 5

b)

Backstreet Boys

c)

*NSYNC

d)

New Kids on the Block

e)

One Direction

87.
What are the 3 Pokémon represented by the Pokémon Go teams?
a)
Glaceon, Jolteon, Flareon
b)
Eevee, Mewtwo, Pidgeot
c)
Articuno, Zapdos, Moltres
d)
Zebstrika, Jynx, Charizard
88.
When did the first Pokémon games release?
a)
1998
b)
2001
c)
1997
d)
1996
89.

Human beings are classified as:

a)

Echinoderms

b)

Reptiles

c)

Fungi

d)

Mammals

90.

Who invented gravity?

a)

Isaac Newton

b)

Galileo

c)

Stephen Hawking

d)

Nobody. Gravity’s always been here.

91.

Storm clouds are typically:

a)

Cirrus

b)

Cumulonimbus

c)

Nimbus

d)

Stratus

92.

Which of the following are types of rocks?

a)

Sedimentary

b)

Igneous

c)

Metamorphic

d)

Punk

93.

Who is this?

a)

Squirrel Girl

b)

Sandy Cheeks

c)

Sally

d)

Molly

94.

Sugar, spice, and everything nice were used to create the Powerpuff Girls. What was the extra ingredient mistakenly added?

a)

Utonium

b)

Chemical X

c)

Mojo Juice

d)

The Unknown Element

95.

Who is this?

a)

Kim Possible

b)

Jubilation Lee

c)

Hannah Dangerous

d)

Barbara Blade

96.
a)

Jimmy Neutron

b)

Billy

c)

Ben 10

d)

Danny Phantom

97.

What creature does Moana save in the opening scene?

a)

crab

b)

sea horse

c)

sea urchin

d)

sea turtle