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Understanding one-step equations

Total questions: 51

Worksheet time: 1hrs 18mins

Name
Class
Date
1.

Tell whether the value of the variable is a solution to the equation:

3x=12; x=4

a)

yes

b)

no

2.

Tell whether the value of the variable is a solution to the equation:

7 = 13 - n; n=5

a)

Yes

b)

No

3.

Tell whether the value of the variable is a solution to the equation:

 6y=3 ;  y =2\frac{6}{y}=3\ ;\ \ y\ =2  

a)

yes

b)

no

4.

Which of these is an equation?

a)

5x + 3

b)

m - 8 = 12

c)

x + 7 > 13

d)

πr2 + πrh

5.

The value of the variable that makes an equation true is the

a)

solution

b)

coefficient

c)

constant

d)

unknown

6.

What is the meaning of the symbol?

≠

a)

not equal

b)

equal

c)

less than

d)

greater than

7.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
8.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
9.
When x = 6 in the equation
3x = 18
3(6) = 18
18= 18
TRUE OR FALSE?
a)
TRUE
b)
FALSE
10.
When x = 5 in the equation
x + 7 = 15
(5) + 7 = 15
12 = 15
TRUE OR FALSE?
a)
TRUE
b)
FALSE
11.
When x = 12 in the equation
3a - 14 = 22 
3(  ) - 14 = 22
IS IT TRUE OR FALSE?
a)
TRUE
b)
FALSE
12.

Tell whether the value of the variable is a solution to the equation:

 4m = 24;   m = 74m\ =\ 24;\ \ \ m\ =\ 7  

a)

Yes

b)

No

13.

Tell whether the value of the variable is a solution to the equation:

 2t+5=15;  t=42t+5=15;\ \ t=4  

a)

Yes

b)

No

14.

Tell whether the value of the variable is a solution to the equation:

 r−23=56; r=79r-23=56;\ r=79  

a)

Yes

b)

No

15.

Find the solution that will keep both sides balanced

a + 17 = 25

a)

8

b)

-8

c)

9

d)

-9

16.

Find the solution that will keep both sides balanced

6 = 24 / x

a)

3

b)

-3

c)

4

d)

-4

17.

Find the solution that will keep both sides balanced

39 = 3n

a)

13

b)

-13

c)

12

d)

-12

18.

Find the solution that will keep both sides balanced

46 - c = 27

a)

29

b)

-29

c)

19

d)

-19

19.

Find the solution that will keep both sides balanced

p / 7 = 9

a)

49

b)

63

c)

-49

d)

-63

20.

Find the solution that will keep both sides balanced

52 + m = 100

a)

48

b)

58

c)

-48

d)

-58

21.

Find the solution that will keep both sides balanced

5 + 1 = 2 + ?

a)

3

b)

4

c)

-3

d)

-4

22.

Find the solution that will keep both sides balanced

10 - ? = 12 - 7

a)

-5

b)

6

c)

5

d)

-6

23.

Find the solution that will keep both sides balanced

? + 8 = 6 + 3

a)

2

b)

-2

c)

1

d)

-1

24.

What value of z is a solution to this equation?

30 = z − 4.630\ =\ z\ -\ 4.6  

a)

25.425.4  

b)

7.67.6  

c)

1616  

d)

34.634.6  

25.

What value of k is a solution to this equation?

3.2k = 28.83.2k\ =\ 28.8  

a)

88  

b)

25.625.6  

c)

99  

d)

3232  

26.

What value of b is a solution to this equation?

b0.2=14\frac{b}{0.2}=14  

a)

2.82.8  

b)

2828  

c)

14.214.2  

d)

280280  

27.

Tell whether the value of the variable is a solution to the equation:

3x=12; x=4

a)

yes

b)

no

28.

Tell whether the value of the variable is a solution to the equation:

7 = 13 - n; n=5

a)

no

b)

yes

29.

Which of these are solutions to the equation?

5x + 10 = 30

a)

0

b)

2

c)

5

d)

none of these

30.

A ____________ is a mathematical sentence that uses an equal sign to show that two expressions are equal.

a)

variable

b)

equation

c)

expression

d)

coefficient

31.

Tell which value of the variable, if any, is a solution of the equation.


d + 9 = 25


d= 6, 14, 16

a)

6

b)

14

c)

16

d)

No solution is given

32.

Tell which value of the variable, if any, is a solution of the equation.


c - 8 = 25


c=17, 33, 36

a)

17

b)

33

c)

36

d)

No solution is given

33.

Tell which value of the variable, if any, is a solution of the equation.


2y = 30


y= 10, 12, 24

a)

10

b)

12

c)

24

d)

No solution is given

34.

Tell which value of the variable, if any, is a solution of the equation.

150 ÷\div  h = 50

h = 2, 3, 5

a)

2

b)

3

c)

5

d)

No solution is given

35.

Tell which value of the variable, if any, is a solution of the equation.


f - 13.2 = 28.9


f = 38.7, 42.1, 45.8

a)

38.7

b)

42.1

c)

45.8

d)

No solution is given

36.

A ______________ is a value for the variable that makes the equation true.

a)

variable

b)

coefficient

c)

equation

d)

solution of an equation

37.

c + 8 = 111

a)

101

b)

119

c)

115

d)

103

38.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
39.

Which of these are true?

a)

If r = 7, then r+5=7r+5=7

b)

If a = 10, then a−4=6a-4=6

c)

If w = 5, then 4w=204w=20

d)

If b = 16, then b2=16\frac{b}{2}=16

40.

What is the opposite operation for this equation? 4x=244x=24  

a)

Addition

b)

Subtraction

c)

Mulitplication

d)

Division

41.

Which addition equation is true for p=5?

a)

p+3=10p+3=10

b)

p+4=9p+4=9

c)

x+1=6x+1=6

d)

p+2=5p+2=5

42.

Which equation is multiplication?

a)

3y=123y=12

b)

b3=10\frac{b}{3}=10

c)

m−9=8m-9=8

d)

17=k+517=k+5

43.

What is the opposite operation for this equation? 4x=244x=24  

a)

Addition

b)

Subtraction

c)

Mulitplication

d)

Division

44.

When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...

a)

it is mathematical

b)

you do the SAME thing to the other side

c)

solving equations is impossible

d)

I love Snow Days!

45.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
46.

How should you show your work to isolate the variable and solve the equation:

x + 62 = 123x\ +\ 62\ =\ 123  

a)

Subtract 62 from each side. 

b)

Add 62 to each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

47.

How should you show your work to isolate the variable and solve the equation:

x + 76 = 42x\ +\ 76\ =\ 42  

a)

Subtract 76 from each side. 

b)

Add 76 to each side.

c)

Divide each side by 76.

d)

Subtract 42 from each side.

48.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
49.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
50.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
51.

Using a balance scale, solve the equation x−3=2x - 3 = 2 .

a)

x=1x = 1

b)

x=2x = 2

c)

x=3x = 3

d)

x=5x = 5