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Worksheets

Algebraic Expressions Review

Total questions: 86

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

b − 3 + 6 − 2b

a)

-b + 3

b)

3b + 9

c)

b + 3

d)

-3b + 3

2.

9 + 5r − 9r

a)

4r + 9

b)

-4r - 9

c)

-4r + 9

d)

5r

3.

−2(7 − n) + 4

a)

-n + 18

b)

-2n - 10

c)

-n + 9

d)

2n - 10

4.

−8(−5b + 7) + 5b

a)

45b − 56

b)

-35b + 7

c)

-45b + 56

d)

10b - 1

5.

−4p − (1 − 6 p)

a)

-10p

b)

2p − 1

c)

-10p -1

d)

-2p - 4

6.

−7(k − 8) + 2k

a)

-5k - 56

b)

-5k - 8

c)

10k - 7

d)

−5k + 56

7.

4 − 5(−4n + 3)

a)

-9n + 7

b)

20n - 11

c)

-20n + 19

d)

20n + 19

8.

1 + 7(1 − 3b)

a)

-3b + 9

b)

21b + 8

c)

-3b + 7

d)

-21b + 8

9.

3 − 8(7 − 5n)

a)

-5n + 59

b)

-40n +31

c)

40n - 53

d)

-35n -5

10.

−6(a + 8)

a)

-6a + 8

b)

-6a - 48

c)

-6a + 2

d)

6a + 48

11.

6(−5n + 7)

a)

-11n + 13

b)

30n + 42

c)

-30n + 7

d)

-30n + 42

12.

−8(1 − 5x)

a)

-8 + 40x

b)

8 + 40x

c)

-8 - 40x

d)

8 - 40x

13.

Factor. 6a + 20

a)

2(a + 10)

b)

6(a + 14)

c)

2(3a + 10)

d)

3(2a + 5)

14.

Factor. 4x + 10

a)

4(x + 10)

b)

2(2x + 10)

c)

4(x + 2)

d)

2(2x + 5)

15.

Factor. 45c + 10d

a)

45(c + 10d)

b)

5(9c + 2d)

c)

5cd(9 + 2)

d)

2(22.5c + 5d)

16.

Factor. 27 - 9x + 15y

a)

9(3 - x + 15y)

b)

3(9 - 3x + 5y)

c)

2(13 - 5x + 7y)

d)

3(9 - 9x + 5y)

17.

addition, subtraction, multiplication, division

a)

operations

b)

solution

c)

algebraic expression

d)

equation

18.

A letter used to represent a number value in an expression or an equation.

a)

equation

b)

operations

c)

variable

d)

algebraic expression

19.

A mathematical statement that says that two expressions have the same value; any number sentence with an =.

a)

solution

b)

factor

c)

algebraic expression

d)

equation

20.

The value of a variable that makes an equation true.

a)

operation

b)

expression

c)

factor

d)

solution

21.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
22.
Product
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
23.
Less
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
24.
A letter that represents a number.
a)
Addition
b)
Expression
c)
Algebra
d)
Variable
25.
Five less than y
a)
5+y
b)
5y
c)
5-y
d)
y-5
26.
Quotient
The answer in...
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
27.
The product of five and w
a)
5+w
b)
5w
c)
w-5
d)
5-w
28.
A mathematical phrase that uses variables, numerals, and operation symbols.
a)
Algebra
b)
An equation
c)
An algebraic expression
d)
Something very scary 
29.
The quotient of seven and w
a)
7/w
b)
7w
c)
w/7
d)
w7
30.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
31.
The total of m and n
a)
mn
b)
m/n
c)
m-n
d)
m+n
32.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
33.

Which statement is true?

a)

2(3 +4) = 2(3) - 2(4)

b)

2(3) + 2(4) = 2(3 +4)

c)

2(3 + 4) = 2(3) x 2(4)

34.

Which expression is equivalent to 3(n -6)?

a)

3n - 6

b)

n - 18

c)

3n - 18

d)

3n - 9

35.

Which equation is equivalent to 2(y + 11) ?

a)

2y + 22

b)

2y + 11

c)

2y + 13

d)

y + 22

36.

Use the distributive property to simplify the expressions 3(4x + 9)

a)

4x + 27

b)

12x + 27

c)

7x + 12

d)

12x + 12

37.

Evaluate 53

a)

15

b)

25

c)

125

d)

0

38.

Select the values that are coefficient in the expressions 2x2 + x + 3

a)

3

b)

x2 and x

c)

2

d)

2 and 1

39.

Select the values of the coefficients 5x - 4s + 12 - 2

a)

5x - 4s

b)

5 and -4

c)

12 and 2

d)

There are none

40.

59 \frac{5}{9\ } (F - 32) is the expression that converts degrees Fahrenheit to Celsius.  What is the temperature when F= 113?

a)

45

b)

63

c)

54

d)

130

41.

What is the value of the expression 2x2 - 5y + 3 when x=3 and y=3

a)

0

b)

30

c)

6

d)

-3

42.

Which expression is equivalent to 5 * 5 * 5 * 5 * 5 * 5

a)

56

b)

65

c)

5 + 54

43.

Which expression is equivalent to 3 * 3 * 3 * 3?

a)

9 * 32

b)

27

c)

12

d)

6 + 6

44.

Ashley has c cookies for lunch and Iliana has 3 times as many. Which expression shows how many cookies Iliana has for lunch?

a)

3 + c

b)

3c + c

c)

3/c

d)

3c

45.
Which of the following best describes the expression 4 times a number increased by 7?
a)
(x/4) + 7
b)
4x - 7
c)
4(x + 7)
d)
4x + 7
46.
Which of the following best describes the expression 8 less than the quotient of a number and 2?
a)
(x/2) - 8
b)
8 - (x/2)
c)
(x - 8)/2
d)
2x - 8
47.
Which of the following best describes the algebraic expression 3(x - 5)?
a)
Three times a number minus five
b)
Three times the quantity of a number minus five
c)
Three times the quantity of a number plus five
d)
Three times a number plus five
48.
Which of the following best describes the algebraic expression 6x + 1?
a)
Six times more than the quantity of a number plus one
b)
Six times the quantity of a number plus one
c)
One more than the product of six and a number
d)
One more than the quantity of six and a number
49.
The algebraic expression that best describes the sequence 12, 24, 36, 48... is
a)
x + 12
b)
12x
c)
2x + 12
d)
3x + 2
50.
The algebraic expression that best describes the sequence 1, 1/2, 1/3, 1/4, 1/5... is
a)
1 + (1/2)x
b)
x/1
c)
1/x
d)
1/(x + 1)
51.
What is the algebraic expression that describes the monthly salary?  Let x be the hours of training.  (click on the image to see the table)
a)
10x + 1000
b)
10x + 1100
c)
100x + 10
d)
10x + 100
52.
Which of the following is the algebraic expression that best describes the height, y, if x is the width? (click on the image to see the graph)
a)
y = 2x
b)
y = x - (1/2)
c)
y = x + (1/2)
d)
y = (1/2)x
53.
What is the coefficient in the algebraic expression 7xy2?
a)
7
b)
x
c)
y2
d)
0
54.
How many terms are there in the algebraic expression 2x2 -3y + 5?
a)
2
b)
3
c)
4
d)
5
55.

The number in front of a variable telling the mathematician how much to multiply the variable by is called the...

a)

Term

b)

Constant

c)

Coefficient

d)

Expression

56.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

57.

These have the the same variable and can, therefore, be combined...

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

58.
Simplify the Expression: 5(x + 2) + 2x
a)
7x + 2
b)
7x + 10
c)
5x + 4
d)
7x + 7
59.
Simplify the Expression: 10x - 3(2x + 8)
a)
4x - 24
b)
-4x + 24
c)
16x - 24
d)
14x - 6
60.
Simplify the Expression: -4(x + 6) + 2(x - 2)
a)
2x + 28
b)
6x - 20
c)
-2x - 28
d)
6x - 28
61.
Simplify the Expression: 2x + 3x - 12x
a)
7x
b)
-7x
c)
-17x
d)
17x
62.
Simplify the Expression: 3(x - y + 5)
a)
3x - 3y + 8
b)
3xy + 15
c)
3x + 3y + 8
d)
3x - 3y + 15
63.
Simplify the Expression: -9x + 17x + (-8x)
a)
34
b)
Zero
c)
-34
d)
1x
64.
Simplify the Expression: 21 - 8x - 4 + 9x
a)
-4x -17
b)
17x + 25
c)
x + 17
d)
17x + 17
65.
Simplify the Expression: -1(2x + 3) - x
a)
-x + 3
b)
3x + 3
c)
4x + (-2)
d)
-3x - 3
66.
Solve
b3 + (-4)
When b = (-3)
a)
Negative 23
b)
Positive 31
c)
Postive 23
d)
Negative 31
67.

Expressions are made up of these...

a)

Variables

b)

Operations

c)

Terms

d)

Distributive Property

68.
Find the difference (2x + 5) − (x + 4).
a)
x + 1
b)
3x + 9
c)
−x + 1
d)
x + 9
69.
Which expression is equivalent to:
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
70.

Ms. Carmean simplified the expression 3(2x-4) - 3 to 6x -7. Is she correct?

a)

Yes

b)

No

71.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

72.
(2x + 3) + (x + 5)
a)
3x + 5
b)
3x + 8
c)
2x + 5
d)
2x + 8
73.
(x + 4) + (3x + 9)
a)
4x + 13
b)
3x + 13
c)
4x +5
74.
(2x - 6) + (4x - 4)
a)
6x + 10
b)
6x - 10
c)
6x + 2
75.
Find the sum:
2(x + 3) + 3(3x - 2)
a)
11x
b)
11x - 12
c)
11x + 12
d)
0
76.
(5x - 6) - (x + 2)
a)
4x - 8
b)
4x - 4
c)
4x + 4
77.
Simplify (5x + 3) - (2x - 5)
a)
3x + 8
b)
3x - 2
c)
7x + 8
d)
7x - 2
78.

(6x + 9) - (4x + 6)

a)

10x + 15

b)

2x + 15

c)

10x + 3

d)

2x + 3

79.
(10x + 2) - (8x - 4)
a)
2x - 2
b)
2x + 6
c)
18x + 6
d)
18x - 2
80.
(10x + 2) - (8x - 4)
a)
2x - 2
b)
2x + 6
c)
18x + 6
d)
18x - 2
81.
Find (2x + 3) + (x + 4)
a)
2x + x
b)
12 + 3x
c)
2x2 + 12
d)
3x + 7
82.
(3x + 5) + (2x + 3)
a)
6x + 15
b)
6x + 8
c)
5x + 8
d)
5x + 15
83.
2(x + 3) + (3x + 1)
a)
6x + 4
b)
5x + 4
c)
5x + 7
d)
6x + 7
84.
5(x-4) + (2x-7)
a)
3x - 28
b)
5x + 2x -27
c)
7x2 + 11
d)
7x -27
85.
(x-1) + (2x+ 3)
a)
3x + 2
b)
2x2 + 4
c)
3x + (-2)
d)
2x + 2
86.
Find the difference:
(8 - u) - (5u + 1)
a)
6u + 7 
b)
-4u + 7
c)
-6u + 7
d)
4u - 7

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