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Worksheets

sara

Total questions: 168

Worksheet time: 6hrs 58mins

Name
Class
Date
1.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

2.

2x + 5y - 3 when x = 3 and y = 4

a)

23

b)

25

c)

33

d)

40

3.

A ratio that compares a number to 100

a)

percent change

b)

product

c)

rate

d)

percent

4.

Solve the equation for f

Hint: which answer makes the equation true?

5 = f - 2

a)
4
b)
7
c)
-3
d)
2
5.

Solve the equation for k

Hint: which answer makes the equation true?

-10k = 50 k =

a)
-500
b)
-5
c)
-7
d)
3
6.

A fraction that contains one or more fractions in its numerator or denominator.

a)

percent change

b)

equivalent fractions

c)

complex fraction

d)

inverse operations

7.

An Expression that may contain numbers, operations, and one or more variables

a)

Like Terms

b)

Term

c)

Algebraic Expression

d)

Variable

e)

Equivalent Expressions

8.

operations that undo each other

a)

complex fraction

b)

equivalent fractions

c)

equivalent expressions

d)

inverse operations

9.

To write a fraction or expression in simplest form

a)

simplify

b)

proportion

c)

inequality

d)

discount

10.

The sum of any number and zero is the number.

a)

Distributive Property

b)

Associative Property of Addition and Multiplication

c)

Addition Property of Zero

d)

Multiplication Property of 1

e)

Commutative Properties

11.

The smallest multiple (other than zero) that two or more numbers have in common

a)

percent error

b)

constant of proportionality

c)

greatest common factor

d)

least common multiple

12.

A statement that compares two quantities using <, >, ≤,≥, or ≠

a)

percent error

b)

expression

c)

equation

d)

inequality

13.

2d + 9 when d = 1

a)

11

b)

5

c)

10

d)

6

14.

To multiply a sum or difference by a number, multiply each term in the sum or difference by the number outside the parentheses. Then simplify.

a)

Distributive Property

b)

Associative Property of Addition and Multiplication

c)

Addition Property of Zero

d)

Multiplication Property of 1

e)

Commutative Properties

15.

Evaluate the expression when b = 2

Hint: Use the distributive property

b(b + 12)

a)
28
b)
14
c)
144
d)
24
16.

A ratio that compares the change in a quantity to the original amount.

a)

percent change

b)

percentage

c)

percent error

d)

complex fraction

17.

Evaluate the expression when t = 10

Hint: Use the distributive property

4(t – 2)

a)
35
b)
24
c)
12
d)

32

18.

12 ÷ 3x when x = 1

a)

11

b)

8

c)

10

d)

4

19.

Use the distributive property to simplify the expression

2(1+10v)

a)
2+12v
b)
2+20v
c)
2+9v
20.

Solve the equation for y

Hint: which answer makes the equation true?

35 = y - 3

a)
-38
b)
-4
c)
32
d)
38
21.

A number or variable by itself, or product of numbers and variables in an algebraic expression.

a)

Like Terms

b)

Term

c)

Algebraic Expression

d)

Variable

e)

Equivalent Expressions

22.

Expressions that result in the same number for any value of each variable

a)

Like Terms

b)

Term

c)

Algebraic Expression

d)

Variable

e)

Equivalent Expressions

23.

A term without a variable

a)

constant

b)

coefficient

c)

unit rate

d)

quotient

24.

Fractions that have the same value

a)

equivalent fractions

b)

complex fraction

c)

inverse operations

d)

equivalent expressions

25.

A whole number that has exactly two factors, 1 and itself.

a)

percent error

b)

rational number

c)

prime number

d)

inequality

26.

Use the distributive property to simplify the expression

3(4+3r)

a)
12+9r
b)
7+6r
c)
12+5r
27.

The product of any number and one is the number.

a)

Distributive Property

b)

Associative Property of Addition and Multiplication

c)

Addition Property of Zero

d)

Multiplication Property of 1

e)

Commutative Properties

28.

the constant ratio in a proportional linear relationship

a)

percent error

b)

least common multiple

c)

constant of proportionality

d)

greatest common factor

29.

Solve the equation for k

Hint: which answer makes the equation true?

w - 4 = 18

a)
22
b)
14
c)
-14
d)
-22
30.

A symbol used to represent an unknown number

a)

variable

b)

simplify

c)

discount

d)

prime number

31.

A comparison of two quantities by division

a)

rational number

b)

proportion

c)

ratio

d)

rate

32.

number in front of a variable

a)

quotient

b)

expressions

c)

Coefficient

d)

constant

33.

Use the distributive property to simplify the expression

5(1+5b)

a)
5+25b
b)
6+6b
c)
5+10b
34.

Terms that have the same variables raised to the same exponents.

a)

Like Terms

b)

Term

c)

Algebraic Expression

d)

Variable

e)

Equivalent Expressions

35.

Use the distributive property to simplify the expression

6(7k+11)

a)
7k+11
b)
42k+66
c)
13k+16
36.

The multiplicative inverse of a number

a)

reciprocal

b)

proportion

c)

percentage

d)

product

37.

The amount by which the regular price of an item is reduced

a)

quotient

b)

product

c)

discount

d)

inequality

38.

A symbol that represents one or more numbers

a)

Like Terms

b)

Term

c)

Algebraic Expression

d)

Variable

e)

Equivalent Expressions

39.

Changing the order of addends or factors does not change the sum or product

a)

Distributive Property

b)

Associative Property of Addition and Multiplication

c)

Addition Property of Zero

d)

Multiplication Property of 1

e)

Commutative Properties

40.

the answer to a multiplication problem

a)

product

b)

discount

c)

percent

d)

quotient

41.

Evaluate the expression when v = 4

Hint: Use the distributive property

5(v + 1)

a)
26
b)
12
c)
11
d)
25
42.

Also known as a gratuity, it is a small amount of money in return for a service.

a)

rate

b)

discount

c)

tip

d)

ratio

43.

Use the distributive property to simplify the expression

4(8n+2)

a)
4n+2
b)
12n+6
c)
32n+8
44.

6c - 1 + 5c when c = 2

a)

31

b)

41

c)

51

d)

21

45.

A number that can be written as a fraction

a)

prime number

b)

rational number

c)

percent change

d)

percentage

46.

The largest factor that two or more numbers have in common.

a)

constant of proportionality

b)

percent error

c)

least common multiple

d)

greatest common factor

47.

5a + 2 when a = 10

a)

42

b)

36

c)

52

d)

86

48.

Solve the equation for x

Hint: which answer makes the equation true?

-4x = -36 x=

a)
4
b)
5
c)
-9
d)
9
49.

Changing the groupings of addends or factors does not change the sum or product.

a)

Distributive Property

b)

Associative Property of Addition and Multiplication

c)

Addition Property of Zero

d)

Multiplication Property of 1

e)

Commutative Properties

50.
What is an integer greater than zero?
a)
whole number
b)
positive integer
c)
absolute value
d)
rational number
51.
Simplify    5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
52.
Which term means the distance of a number from zero on the number line; shown by |  | ?
a)
repeating decimal
b)
absolute value
c)
additive inverse
d)
opposite
53.
Factor out the GCF
3x+15
a)
3(x+15)
b)
3(x+3)
c)
3(x+5)
54.
Which expression is equivalent to:
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
55.
Write the following expression in factored form.
27x + 18
a)
3(9x + 6)
b)
9(3x + 2)
c)
3(9x + 18)
d)
9(3x + 18)
56.
A symbol used to represent one or more numbers.
a)
variable
b)
combining like terms
c)
evaluate
d)
terms
57.
Simplify the Expression: 5(x + 2) + 2x
a)
7x + 2
b)
7x + 10
c)
5x + 4
d)
7x + 7
58.
Factor out the GCF
22x -220
a)
2(11x-110)
b)
22(x+10)
c)
22(x -10)
59.

Simplify the expression

8(2x+3)-13

a)

16x+11

b)

16x

c)

24x+41

d)

4-24x

60.
What do we call a number less than zero?
a)
integer
b)
negative number
c)
whole number
d)
positive integer
61.
Subtract these expressions
3(x+5) - (2x+5)
a)
x-15
b)
5x + 20
c)
x + 10
d)
x+15
62.
What is a decimal in which one or more digits repeat indefinitely?
a)
equation
b)
graph
c)
repeating decimal
d)
terminating decimal
63.
4(m + 5)
a)
4m + 20
b)
4m + 9
64.
25 + x = x + 25
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Associative Property of Multiplication
d)
Associative Property of Addition
65.

A number with no variable is called a...

a)

Coefficient

b)

Constant

c)

Term

d)

Expression

66.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
67.
What is a decimal number that ends or terminates?
a)
equation
b)
graph
c)
repeating
d)
terminating
68.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

69.

Use the distributive property to simplify the expression.

2(7c - 8)

a)

14c - 16

b)

14c + 16

c)

7c - 16

d)

c - 16

70.
evaluate a + 6 when a = 2
a)
2
b)
6
c)
8
d)
12
71.
Which of the following linear expressions cannot be factored?
a)
15x+22
b)
12x - 10
c)
8x - 2
d)
7x + 21
72.
 The variable k, in a proportional relationship of the form y=kx
a)
constant of proportionality
b)
equivalent expressions
c)
scale drawing
d)
simplify
73.
Which one is the constant?
5g3 + 2
a)
5
b)
g
c)
3
d)
2
74.
To find the numerical value of.
a)
evaluate
b)
scale factor
c)
terms
d)
algebraic expression
75.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

76.
A number that is not multiplied by a variable.
a)
constant term
b)
Distributive Property
c)
Proportional relationship
d)
similar figures
77.

Simplify the expression.

6(2a+5b)+3(a-8b)

a)

15a+6b

b)

21ab

c)

5a

d)

15a-6b

78.

What do you call when you flip a fraction?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal

79.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
80.

Simplify the expression

29x+8(4y-2x)

a)

13x+32y

b)

27x+12y

c)

31x+32y

d)

13x-32y

81.
Factor by GCF:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
82.

What do you call the number in front of a variable that is being multiplied?

a)

Constant

b)

Variable

c)

Coefficient

d)

Equation

83.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant

84.

A __________ is the numerical term in an algebraic expression.

a)

Variable

b)

Constant

c)

Term

d)

Coefficient

85.
Add these expressions
(3x+15) + (4x+13)
a)
7x+ 28
b)
35x
c)
x+2
d)
7x - 2
86.

Solve:


y + 9 = -10

a)

1

b)

-1

c)

19

d)

-19

87.

Simplify the expression by combining like terms.

9x2+14x-x2+6x

a)

8x2+20x

b)

9x2+20x

c)

10x2+20x

d)

8x2+8x

88.
 If a proportion may be set up that relates two values.
a)
proportional relationship
b)
simplify
c)
variable
d)
combining like terms
89.

Add or subtract linear expressions.

(2x + 3) + (x + 5)

a)

3x + 5

b)

3x + 8

c)

2x + 5

d)

2x + 8

90.
For any a, b, and c, a(b + c) = ab + ac.
a)
Distributive Property
b)
proportional relationship
c)
similar figures
d)
unit rate
91.

What is the difference between an algebraic expression and an equation?

a)

Algebraic expressions do not have variables, but equations do have variables

b)

Expressions and equations are not different

c)

Expressions do not have an equal sign and equations need to have an equal sign

d)

Expressions need to have an equal sign and equations do not have an equal sign

92.
Find the Sum: 
(5 - t) + (3t +2)
a)
2t + 7
b)
2t + 3
c)
-2t + 3
d)
-2t + 7
93.

Use the distributive property to simplify the expression.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

94.
What is the rule for evaluating expressions that says: first perform the operations in parantheses, then compute powers and roots, then perform all multiplication and division from left to right, and then perform all addition and subtraction left to right?
a)
integer
b)
order of operations
c)
graph of an equation
d)
absolute value
95.

Add or subtract linear expressions.

(5x + 3) - (2x - 5)

a)

3x + 8

b)

3x - 2

c)

7x + 8

d)

7x - 2

96.

Solve:


32 = -8a

a)

4

b)

-4

c)

40

d)

24

97.
If two expressions are multiplied, then the order may be reversed with no effect on the result
a)
Commutative property
b)
corresponding parts
c)
evaluate
d)
scale factor
98.
What do we call numbers that are equal distance from zero on a number line; also called additive inverse?
a)
opposites
b)
absolute value
c)
rational number
d)
positive integer
99.
Which one is the coefficient?
6f2 - 9
a)
6
b)
f
c)
2
d)
9
100.
2x + 5 + 7x + 13
a)
9x + 18
b)
27x
c)
7x + 20x
101.

3 =  c−11\frac{c}{-11}  

a)

33

b)

14

c)

-33

d)

-14

102.

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

103.
Simpify.
k - (-k + 2)
a)
2k - 2
b)
-2
c)
2
d)
-2k - 2
104.
Two expressions that have the same value
a)
equivalent expressions
b)
scale drawing
c)
simplify
d)
variable
105.

What do you call when you add two opposite numbers?

a)

Inverse Operations

b)

Adding Opposites

c)

Opposite Operations

d)

Additive Inverse

106.

Add or subtract linear expressions.

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

a)

10x + 15

b)

2x + 15

c)

10x + 3

d)

2x + 3

107.
(6x + 3y + 4) – (8x + 9y)
a)
-2x - 6y
b)
-2x - 6y + 4
c)
2x + 6y + 4
d)
14x + 12y + 4
108.
What is a mathematical sentence that shows that two expressions are equivalent?
a)
solve
b)
expression
c)
graph
d)
equation
109.
(3x + 5) + (2x + 1) 
a)
5x + 5
b)
5x + 6
c)
x + 4
d)
6x + 5
110.
Ratio that compares the sizes the parts of one figure  corresponding parts of a similar figure.
a)
scale factor
b)
terms
c)
algebraic expression
d)
Commutative Property
111.
Which one is the variable?
3w + 2w - (-7w)
a)
3
b)
2
c)
w
d)
12
112.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

113.

When multiplying or dividing, what happens when you have one negative sign?

a)

Your answer will be positive

b)

Your answer will be negative

114.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

115.

Simplify:

3(x+5) -2 (2x - 3)

a)

7x+ 21

b)

x - 21

c)

-x + 21

d)

-x + 9

116.
Which of the following linear expressions cannot be factored?
a)
15x+22
b)
12x - 10
c)
8x - 2
d)
7x + 21
117.
Add these expressions
(x+5) + (2x+10)
a)
3x+15
b)
x-5
c)
18x
118.
What is a mathematical phrase that contains operations, numbers, and/or variables?
a)
expression
b)
equation
c)
solve 
d)
order
119.

Which expression is equivalent to the algebraic expression below?

-3(–2x – 1)

a)

-5x - 4

b)

x - 1

c)

-6x - 3

d)

6x + 3

120.
Points or sides in two figures that are images of each other with respect to a transformation.
a)
corresponding parts
b)
evaluate
c)
scale factor
d)
terms
121.
A single number, variable, or the product of numbers and variables.
a)
term
b)
Associative Property
c)
evaluate
d)
similar figures
122.
Simplify the Expression: 3(x - y + 5)
a)
3x - 3y + 8
b)
3xy + 15
c)
3x + 3y + 8
d)
3x - 3y + 15
123.
10y + 7k - 2y + 3k
a)
17k - y
b)
8y + 10k
c)
12y -10k
124.

Simplify

-3(x+5) + 2(x+5)

a)

-3x - 15

b)

x - 10

c)

5x + 25

d)

-x - 10

125.
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
a)
five
b)
eight
c)
six
d)
nine
126.
Find the GCF of the following terms.
27x, 18
a)
3
b)
18
c)
9
d)
There is no GCF.
127.
Simplify (5x + 3) - (2x - 5)
a)
3x + 8
b)
3x - 2
c)
7x + 8
d)
7x - 2
128.
Simplify the Expression: -1(2x + 3) - x
a)
-x + 3
b)
3x + 3
c)
4x + (-2)
d)
-3x - 3
129.

Solve:

 x−4\frac{x}{-4}  = 9

a)

13

b)

36

c)

-36

d)

 −49\frac{-4}{9}  

130.
What is a number without fractions; an integer?
a)
expression
b)
whole number
c)
graph
d)
integer
131.

Use the distributive property to simplify the expression.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

132.
What is any number that can be expressed as a ratio of two integers?
a)
graph
b)
terminating decimal
c)
repeating decimal
d)
rational number
133.

Solve:

-6 =  23r\frac{2}{3}r  

a)

-4

b)

-9

c)

9

d)

4

134.
Simplify.
5c - (3 - 2c)
a)
7c - 3
b)
3c - 3
c)
3c - 3
d)
-7c - 3
135.

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

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

136.

 Solve:15b = 5Solve:\frac{1}{5}b\ =\ 5  

a)

-25

b)

1

c)

25

d)

-1

137.
What is a term used to describe the opposite of a number?
a)
rational number
b)
repeating decimal
c)
additive inverse
d)
terminating decimal
138.
What is the first step to writing an expression in factored form?
a)
Find the GCF.
b)
Do the Distributive Property.
c)
Combine like terms.
d)
Solve what is inside of the parentheses. 
139.

Simplify the expression.

5(3+5x-1)

a)

25x+10

b)

15+25x

c)

25x+15-1

d)

25x+2

140.
Having the same shape but are not necessarily the same size.
a)
Similar figures
b)
variable
c)
constant term
d)
scale drawing
141.
98 + 0 = 98
The sum of any number and zero is itself.
a)
Identity Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Addition
d)
Identity Property of Addition
142.
(19 x 5) x 2 = 19 x (5 x 2)
a)
Associative Property of Multiplication
b)
Commutative Property of Multiplication
c)
Identity Property of Multiplication
d)
Associative Property of Addition
143.
What is the name for whole numbers and their opposites?
a)
equation
b)
positive number
c)
integer
d)
negative number
144.
Simplify:
11m - 8 - 12 + 10m
a)
m - 20
b)
m - 4
c)
21m - 4
d)
21m - 20
145.
Simplifiying an expression by summing constants and summing same power variable terms
a)
combining like terms
b)
constant of proportionality
c)
equivalent expressions
d)
scale drawing
146.
Simplify the Expression: 10x - 3(2x + 8)
a)
4x - 24
b)
-4x + 24
c)
16x - 24
d)
14x - 6
147.
To write a less complicated expression with the same value.
a)
simplify
b)
terms
c)
unit rate
d)
constant of proportionality
148.

Expressions are made up of these...

a)

Variables

b)

Operations

c)

Terms

d)

Distributive Property

149.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

150.

Solve:


11 = x - 7

a)

4

b)

-4

c)

18

d)

-18

151.
Multiplying a number by a sum or difference gives the same result as multiplying that number by each term in the sum or difference and then adding or subtracting the corresponding products.
a(b+c) = a*b + a*c
a(b-c) = a*b - a*c
a)
Associative Property of Multiplication
b)
Identity property of Mulitiplication
c)
Commutative Property of Multiplication
d)
Distributive Property
152.
A rate with a denominator of one when simplified.
a)
unit rate
b)
variable
c)
scale factor
d)
corresponding parts
153.
What does it mean to find an answer or a solution?
a)
integer
b)
order
c)
solve
d)
expression
154.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
155.
An expression that is a combination of individual terms separated by plus or minus signs.
a)
algebraic expression
b)
Commutative Property
c)
corresponding parts
d)
evaluate
156.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
157.
A(n) __________________ consists of one or more numbers, variables, and operations. 
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
158.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
159.
2(x + 8) + 6x
a)
2x + 8 + 6x
b)
8x + 8
c)
8x +16
160.

When multiplying or dividing, what happens when you have two negative signs?

a)

Your answer will be positive

b)

Your answer will be negative

161.
Simplify:
-1x + y - z + 10z + 2x - 10y
a)
1x - 9y + 9z
b)
1x - 9z - 9y
c)
-1x - 9z - 9y
d)
-1x - 9 - 9y
162.
What is the graph of the set of ordered pairs that are solutions to the equation?
a)
solve
b)
additive inverse
c)
rational number
d)
graph of an equation
163.
Combine the like terms to simplify.
x + 4 - 5x - 2
a)
-5x + 2
b)
-5x - 2
c)
-4x + 2
d)
-4x - 2
164.

Solve:


2x = -16

a)

-8

b)

18\frac{1}{8}

c)

8

d)

−18\frac{-1}{8}

165.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
166.
Drawing that shows an object with accurate sizes except they have all been reduced or enlarged.
a)
scale drawing
b)
simplify
c)
variable
d)
combining like terms
167.
254 x (1) = 254
The product of any number and 1 is always itself.
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Identity Property of Multiplication
d)
Identity Property of Addition
168.
(4y - 8) - (3y - 9)
a)
7y - 17
b)
y + 1
c)
y - 17
d)
7y + 17

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