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One Step Equations with Math with Mr. J Video

Total questions: 26

Worksheet time: 47mins

Name
Class
Date
1.

The inverse operation of addition is multiplication.

a)

True

b)

False

2.

The inverse operation of subtraction is addition.

a)

True

b)

False

3.

The inverse operation for the equation shown is:

h + 18 = 34

a)

subtract 34

b)

subtract 18

c)

add 34

d)

add 18

4.

Find the value of c in this equation:

c - 8 = 42

a)

34

b)

8

c)

42

d)

50

5.

What are the TWO basic rules for solving algebraic equations?

*Hint: You will need to pick more than one!

a)

Whatever you do to one side of the equation, you must do on the other side of the equation.

b)

Always add on both sides.

c)

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

d)

Always do the inverse operation.

6.

An example of a pair of INVERSE operations

a)

addition and subtraction

b)

addition and multiplication

c)

subtraction and division

d)

subtraction and multiplication

7.

Solve:

n - 5 = 32

a)

32

b)

27

c)

37

d)

36

8.

Solve the algebraic equation for p.

p + 8 = 12

a)

4

b)

20

c)

5

d)

6

9.

Which method can be used to solve the algebraic equation below?

z - 6 = 13

a)

Subtract 6 from both sides of the equation

b)

Add six to both sides of the equation

c)

Subtract 13 from both sides of the equation

d)

Add 13 to both sides of the equation

10.

Solve for x.

x + 4 = 20

a)

15

b)

17

c)

24

d)

16

11.

Solve for k.

k-11 = 18

a)

9

b)

29

c)

7

d)

28

12.

The inverse operation of multiplication is division.

a)

True

b)

False

13.

Solve for y.

y + 7 = 25

a)

18

b)

32

c)

17

d)

19

14.

Which method can be used to solve the algebraic equation below?

m - 9 = 15

a)

Subtract 9 from both sides of the equation

b)

Add nine to both sides of the equation

c)

Subtract 15 from both sides of the equation

d)

Add 15 to both sides of the equation

15.

In the equation


x + 7 = 12


7 is being added to the variable, x.

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

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

16.

What is the solution to the equation: 15 = 3h

a)

h = 7

b)

h = 10

c)

h = 3

d)

h = 5

17.

If i - 5 = 10, what is the value of i?

a)

12

b)

8

c)

20

d)

15

18.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

19.
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.
20.

Jennifer handed the cashier a $50 bill to purchase her items and received $23.50 in change. Which equation represents this situation using the variable, p, to represent the cost of her items.

a)

p + 23.5 = 50

b)

50 - p = 23.5

c)

50 - 23.5 = p

d)

23.50 - p = 50

21.

Bob weighed himself on a scale and found he weighs 123 pounds. Then, he picked up his cat and stood on the scale to find the total weight of 131 pounds. Which equation represents this situation using c as the weight of the cat?

a)

131 - c = 123

b)

123 + c = 131

c)

131 - 123 = c

d)

123 - c = 131

22.

At the beginning of the game, there were 28 kids playing but some left. At the end of the game, there were only 15 kids. Which equation represents the situation using k for the kids who left?

a)

15 + k = 28

b)

28 - 15 = k

c)

28 - k = 15

d)


28k= 15\frac{28}{k}=\ 15

23.
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
24.

Solve for a.

a + 10 = 35

a)

25

b)

45

c)

15

d)

35

25.

John had $100 in his bank account. He withdrew some money and now he has $75. Which equation represents the situation using m for the money John withdrew?

a)

100 - m = 75

b)

75 + m = 100

c)

100 - 75 = m

d)

75 - m = 100

26.

The inverse operation for the equation shown is:

j - 20 = 15

a)

add 20

b)

subtract 15

c)

subtract 20

d)

add 15