Free Printable defining variable writing equations

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defining variable writing equations

Total questions: 25

Worksheet time: 50mins

Name

Class

Date

The sum of a number k and 5 is 11.

5k = 11

5 - k =11

5/k = 11

5 + k = 11

The difference of a number x and 2 is 7.

x - 2 = 7

x + 2 = 7

2x = 7

2/x = 7

7 times a number a is 42.

7a = 42

7 + a = 42

7/a = 42

7 - a = 42

A number z divided by 7 equals 4

z + 7 = 4

z - 7 = 4

7z = 4

z/7 = 4

What do the following terms mean:
is
equal
the same as

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?

96h = 8

h/96 = 8

8h = 96

h/8 = 96

Write an equation models the following statement:
17 less than h equals 42

17-h=42

h-17=42

h+17=42

17+h=42

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

250x + 2 = 1000

1000 + 2x = 250

250 - 2x = 1000

2x + 250 = 1000

Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?

34 + 3 = 157

34x + 3 = 157

3x + 34 = 157

x + 34 = 157

10.

Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

40 + 7.50x = 115

40x + 7.50 = 115

40 + 7.50 = 115

40 + 17.50x = 115

11.

Nadea has $600 in her savings account. She withdraws $35 per week to buy gas for her car. Which equation can be used to determine how many weeks, w, it will take for Nadea to reduce her balance to $285?

(600 – 35)w = 285

35w – 600 = 285

600 – w = 285

600 – 35w = 285

12.

what is a variable

A mathematical phrase that contains operations, numbers, and/or variables.

the answer to a multiplication problem

A number multiplied by a variable in an algebraic expression.

a letter used for an unknown value

13.

What is the first step in solving the following problem?

2x+10=22

Add 10 to each side

Divide by 2

Subtract 10 from each side

Multiply by 10

14.

Translate:
Four times a number plus six IS 30.

4 + 6 = 30

4x + 6 = 30

x + 4 times 6 = 30

30 = 4x

15.

Which equation has x=9 as a solution

4 + x = 12

5x = 45

2x = 20

x + 7 = 26

16.

5 more than a number m is the same as 8

m - 5 = 8

m + 5 = 8

5m = 8

m/5 = 8

17.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

v - 4 = 10

v + 4 = 10

10/4 = v

4v = 10

18.

A number five times is twenty five.

3x = 25

4x = 25

5x = 25

6x = 24

19.

A number minus 9 is twelve.

x - 9 = 12

9 - x = 12

x - 9 = 13

9 - x = 14

20.

Five less than a number n is thirty four.

5 - n = 36

n - 5 = 35

5 - n = 34

n - 5 = 34

21.

A number times two is eight.

3x = 8

3 + x = 8

2x = 8

2 + x = 8

22.

Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?

9x - 4 = 176

4 - 9x = 176

9x + 4 = 176

4x + 9 = 176

23.

What is the goal when solving an equation?

To make zero pairs

To isolate the variable

To justify my answer

24.

What is a variable?

A number that represents an unknown value

A letter that represents an unknown value

25.

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

Addition

Subtraction

Multiplication

Division

100 %

defining variable writing equations

Total questions: 25

Worksheet time: 50mins

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