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Worksheets

Equations

Total questions: 39

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
What do the following terms mean:
is
equal
the same as 
a)
+
b)
-
c)
=
d)
x
2.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
3.
Write an equation models the following statement:
 17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
4.
5.  After dropping 5ºF, the temperature was 37ºF.  Which choice models this situation?
a)
d - 37 = 5
b)
d + 5 = 37
c)
d - 5 = 37
d)
d + 37 = 5
5.
Which choice models this situation?
Robyn had some video games, then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10/4 = v
d)
4v = 10
6.

A number five times is twenty five.

a)

3x = 25

b)

4x = 25

c)

5x = 25

d)

6x = 24

7.

A number minus 9 is twelve.

a)

x - 9 = 12

b)

9 - x = 12

c)

x - 9 = 13

d)

9 - x = 14

8.

Five less than a number n is thirty four.

a)

5 - n = 36

b)

n - 5 = 35

c)

5 - n = 34

d)

n - 5 = 34

9.

A number times two is eight.

a)

3x = 8

b)

3 + x = 8

c)

2x = 8

d)

2 + x = 8

10.
Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?
a)
9x - 4 = 176
b)
4 - 9x = 176
c)
9x + 4 = 176
d)
4x + 9 = 176
11.

What is the goal when solving an equation?

a)

To make zero pairs

b)

To isolate the variable

c)

To justify my answer

12.

What is a variable?

a)

A number that represents an unknown value

b)

A letter that represents an unknown value

13.

What operation do you need to do to solve 9x = 27

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

14.

25x = 10\frac{2}{5}x\ =\ 10  

a)

4

b)

25

c)

50

d)

20

15.

Find the difference means

a)

Add

b)

Multiply

c)

Subtract

d)

Divide

16.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
17.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
18.
Three times as many as six is eighteen
a)
3 + 6 = 18
b)
3 x 6 = 18
c)
6 x 3 = 9
d)
18 = 6 x 3
19.

Carlos has 8 Xbox games. Carlos has twice as many (or two times as many) Xbox games as Jayda.

Which equation represents how many Xbox games Jayda has?

a)

C = 8

b)

J = 8 x 2

c)

8 = 2 x J

d)

8 = 2 + J

e)

J - 2 + 8

20.
Which word problem has a solution of 9 x 3 = 27?
a)
Jan is 9 times older than her cousin Josh who is 3 years old. How old is Jan?
b)
Katrina buys 9 cupcakes for twenty seven cents each.  How much total money did Katrina spend?
c)
Don saves for 9 weeks to buy 3 games. How many weeks did Don save for each game?
d)
Sam spends $9 on a book and $3 on a notebook.  How much total money does Sam spend?
21.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

22.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

23.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

24.

Kelly earned $20 for babysitting. She has also earned money by doing chores. Altogether, she has earned $100. How much did she earn doing chores?

a)

$5

b)

$20

c)

$80

d)

$120

25.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
26.
Solve for k:
6k = 30
a)
k = 36
b)
k = 24
c)
k = 180
d)
k = 5
27.

A solution is...

a)

A variable that results in a true sentence

b)

A mathematical sentence showing two expressions are equal.

c)

Numbers expressed using exponents

d)

The value for the variable in an equation.

28.

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

29.
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.
30.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
31.
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
32.

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.

33.
What is the inverse operation of subtraction?
a)
Subtraction
b)
Multiplication
c)
Division
d)
Addition
34.
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
35.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
36.

What is the first inverse operation needed to solve for y?

2y - 254= 900

(think: what is step one?)

a)

subtraction

b)

addition

c)

multiplication

d)

division

37.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
38.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

39.

When solving a two-step equation which operations do you undo first?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division