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Worksheets

Equations: Inverse Operations & Vocab

Total questions: 67

Worksheet time: 11hrs 10mins

Name
Class
Date
1.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
2.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
3.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 15 to both sides
b)
add 5 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
4.

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.

5.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
6.
What would be the best first step to solving the equation?
-6x=-24
a)
multiply both sides by -6
b)
divide both sides by -6
c)
add 6  to both sides
d)
subtract -6  from both sides
7.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
8.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
9.

What is the inverse operation of adding?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

10.

What is the inverse operation of multiplying?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

11.
What is the definition of a coefficient?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number in back of a variable
12.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
13.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
14.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

15.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

16.

a number on its own

a)

constant

b)

coefficient

c)

operator

d)

term

17.

a number that is multiplied by a variable

a)

expression

b)

constant

c)

coefficient

d)

variable

18.

a symbol (+, x, -, or ÷) representing a mathematical operation

a)

term

b)

operator

c)

expression

d)

constant

19.

a single number, a variable, or numbers and/or variables multiplied together

(EX: 4 , abc , 5w)

a)

expression

b)

variable

c)

constant

d)

term

20.

a term or a combination of terms and operators

(EX: 2 , 2x , 2x + 7)

a)

expression

b)

constant

c)

variable

d)

operator

21.

a mathematical sentence stating that two expressions are equal

a)

term

b)

coefficient

c)

equation

d)

variable

22.
a)

variable

b)

constant

c)

coefficient

d)

expression

23.
a)

variable

b)

coefficient

c)

constant

d)

term

24.
a)

constant

b)

expression

c)

variable

d)

coefficient

25.
a)

term

b)

constant

c)

variable

d)

operator

26.
a)

variable

b)

expression

c)

coefficient

d)

operator

27.

Choose ALL that apply from the answers below.

a)

12

b)

ab

c)

99

d)

4

28.

Choose ALL that apply from the answers below.

a)

12ab

b)

99a

c)

6z

d)

4

29.

Choose ALL that apply from the list below.

a)

12

b)

z

c)

a

d)

99

30.
What do we call the 4 in the expression 4y+17?
a)
Coefficient
b)
Term
c)
Variable
d)
Four
31.
What do we call the 13 in the expression 7x - 13 + 4? 
a)
Coefficient
b)
Term
c)
Expression
d)
Number
32.
Which of the following is a variable in 
4y - 5 = 31
a)
31
b)
4
c)
y
d)
4y - 5
33.
Which of the following is a coefficient in 
4y - 5 = 31
a)
31
b)
4
c)
y
d)
4y - 5
34.
Which of the following is a term in 
4y - 5 = 31
a)
31
b)
4
c)
y
d)
4y - 5
35.
Which of the following is an expression in 
4y - 5 = 31
a)
-5
b)
4
c)
y
d)
4y - 5
36.
Which of the following is an equation?
a)
7y
b)
32 + 19
c)
42 = 6h
d)
19 > 2p
37.

Expression or Equation: x + 6 = 21

a)

Expression

b)

Equation

38.

Expression or Equation: x - 4

a)

Expression

b)

Equation

39.

Expression or Equation: 67 + x

a)

Expression

b)

Equation

40.

Expression or Equation: 17 = x + 2

a)

Expression

b)

Equation

41.

Identify the variable(s) in the following equation: 60 + x = 100

a)

60

b)

x

c)

=

d)

100

42.

Identify the variable(s) in the following equation: x - 50 = y + 20

a)

x

b)

-50

c)

y

d)

20

43.

Identify the terms in the following equation:


x + 5 = 15

a)

x

b)

5

c)

-5

d)

15

e)

-15

44.

Identify the terms in the following equation:


x - 7 = 21

a)

x

b)

7

c)

-7

d)

21

e)

-21

45.

Identify the terms in the following equation:


100 = x - 55

a)

100

b)

=

c)

x

d)

55

e)

-55

46.

Determine which statement is false based on the equation:


k + 18 = 25

a)

The terms are k, 18, and 25.

b)

k is not a variable.

c)

k + 18 is an expression.

d)

25 is not an equation.

47.

12 + x = 30 is an example of an

a)

expression

b)

equation

c)

exponent

d)

even number

48.

In the equation 12 = m - 5 "m" is called a ______________

a)

variable

b)

exponent

c)

sum

d)

difference

49.

Match the example shown with the correct vocabulary word.


7x + 4 = 42

a)

Expression

b)

Equation

50.

7x - 6

a)

Expression

b)

Equation

51.

In math, this basically means opposite

a)

inverse

b)

equation

c)

expression

d)

constant

52.

In 8r + 3 , the CONSTANT is ___

a)

8

b)

r

c)

3

53.

In 8r − 3 , the VARIABLE is ___

a)

8

b)

r

c)

-

54.
Pairs of operations that undo each other
a)
inverse operations
b)
solution
c)
inequality
55.

What is the inverse of addition? (+)

a)

Subtraction (−)

b)

Division (÷)

c)

Multiplication (×)

56.

What is the inverse of subtraction? (−)

a)

Addition (+)

b)

Division (÷)

c)

Multiplication (×)

57.

What is the inverse of multiplication? (×)

a)

Addition (+)

b)

Division (÷)

c)

Multiplication (×)

58.

What is the inverse of division? (÷)

a)

Addition (+)

b)

Subtraction (−)

c)

Multiplication (×)

59.

Inverse Operations are operations which undo each other.

a)

True

b)

False

60.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
61.
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.
62.
Adding 12 is the inverse of ...
a)
Dividing by 12
b)
Multiplying by 12
c)
Subtracting 12
63.
Subtracting 8 is the inverse of ...
a)
Adding 8
b)
Dividing by 8
c)
Multiplying by 8
64.
Adding 41 is the inverse of ...
a)
Multiplying by 42
b)
Subtracting 42
c)
Dividing by 42
65.
Subtracting 17 is the inverse of ...
a)
Dividing by 17
b)
Multiplying by 17
c)
Adding 17
66.
What is the inverse of subtraction?
a)
Addition
b)
Division
c)
Multiplication
67.
What is the inverse of addition?
a)
Subtraction
b)
Division 
c)
Multiplication