Free Printable Translating Equations

1.

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

a)

60 - 15x = 210

b)

15x - 60 = 210

c)

15x + 60 = 210

d)

210 + 15x = 60

2.

Jordan's teacher, Mr. Langdon, is eight years younger than five times his age. The sum of their ages is 64. Which equation can be used to find Jordan's age?

a)

6x - 8 = 64

b)

5x - 8 = 64

c)

4x - 8 = 64

d)

5x + 8 = 64

3.

Lexi's Great Grandmother is twelve years older than six times her age. The sum of their ages is 117. Which equation can be used to determine Lexi's age?

a)

6x - 12 = 117

b)

7x - 12 = 117

c)

7x + 12 = 117

d)

6x + 12 = 117

4.

Justin is purchasing a new iPhone. The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600. Which equation can be used to determine how many months Justin will be paying for his phone?

a)

25x + 100 = 600

b)

25x - 100 = 600

c)

600 - 100x = 25

d)

600 + 25x = 100

5.

10 less that half a number is equivalent to 8.

a)

10 - 1⁄2x = 8

b)

1⁄2x + 10 = 8

c)

1⁄2x - 10 = 8

d)

10x - 0.5 = 8

6.

Translate into a verbal expression.
$7x+6=10$

a)

Seven times a number decreased by six is ten.

b)

The quantity of six times a number plus seven is ten.

c)

Six more than seven times a number is ten.

d)

Seven more than six times a number is ten.

7.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

8.

Translate: Five less than the product of seven and a number is the same as thirteen.

a)

7s - 5 = 13

b)

5 - 7 + s = 13

c)

13 = 7(s - 5)

d)

5 - 7s = 13

9.

Which is NOT a word phrase for the algebraic expression.
n + 16?

a)

a number increased by 16

b)

16 increased by a number

c)

the sum of a number and 16

d)

16 more than a number

10.

Rachel swims 3 laps each minute. Write an equation to show the relationship between number of laps (n) and time (t).

a)

3n = t

b)

3 + n = t

c)

3t = n

d)

3 + t = n

11.

What is the expression for "six less than y"

a)

6- y

b)

6 < y

c)

y - 6

12.

Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.

a)

72 = 8 + h

b)

72 = 8h

c)

72 = 8 - h

d)

72 = 8/h

13.

Twice a number is 24.

a)

2n = 24

b)

2/n = 24

c)

2 + n = 24

d)

2 - n = 24

14.

Translate the statement into an equation:
Five less than a number is 6

a)

n - 5 = 6

b)

5 - n = 6

15.

"QUOTIENT" indicates what operation?

a)

Subtraction

b)

Addition

c)

Multiplication

d)

Division

16.

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.

17.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

18.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

19.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

a)

c/7 - 4 = 8

b)

c/4 + 7 = 8

c)

4/c - 7 = 8

d)

c/4 - 7 = 8

20.

The sum of 30 and twice an unknown number is 120.

The unknown number is ....

a)

90

b)

45

c)

30

d)

60

21.

In a bus of 40 passengers, the number of women is 7 times more the number of the men. How many women are in that bus?

a)

5

b)

15

c)

33

d)

35

22.

Ann wants to spend at most $8.50 on school supplies. She needs to purchase a binder (costs $6.89) and wants to spend the rest on pens, which cost $0.59 each. Which inequality represents this situation, where x is the number of pens Ann can buy?

a)

$6.89+8.50x\le0.59$

b)

$8.50+0.59x\le6.89$

c)

$0.59+6.89x\le8.50$

d)

$6.89+0.59x\le8.50$

23.

Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. Which inequality represents this situation?

a)

$15>2.50x+1.75$

b)

$15\le2.50x+1.75$

c)

$15\ge2.50+1.75x$

d)

$15<2.50+1.75x$

24.

Stacy has $25 in her savings account. To save more money, Stacy is selling lemonade for $0.50. She wants to have a minimum of $150 in her account. Which inequality represents this situation?

a)

$25+0.50x\ge150$

b)

$25x+0.50>150$

c)

$25x+0.50\ge150$

d)

$25+0.50x>150$

25.

Sarah earns $20 upfront and $6 an hour. Select the equation that models this situation where x is the number of hours worked and y is the total money earned.

a)

y = 20x + 6

b)

y = 6x + 20

c)

y = 6x

d)

y = -6x + 20

26.

Sarah earns $20 upfront and $6 an hour. Select the equation that models this situation where x is the number of hours worked and y is the total money earned.

a)

y = 20x + 6

b)

y = 6x + 20

c)

y = 6x

d)

y = -6x + 20

27.

Corey weighed 250 pound when he started his fitness routine and consistently lost 3 pounds per week. Select the equation below that models this situation where x is the number of weeks and y is total weight.

a)

y = 3x + 250

b)

y = 250 + 3x

c)

y = 250x + 3

d)

y = -3x + 250

28.

Given the equation:

y = 10x - 20, select the scenario that matched the equation where x is the number of miles walked and y is the total money raised.

a)

$10 donation and $20 per mile.

b)

$10 per mile and $20 donation

c)

$10 per mile and a gift for the sponsor was purchased for $20

d)

$20 per mile and a gift for the sponsor was purchased for $10

29.

The equation below represents a pledge plan where x is the number of miles walked and y is the total amount raised.

500 = 10x + 50

What question are you trying to answer?

a)

How many miles you walked when you raised $500?

b)

How much money you made when you walked 50 miles?

c)

How much money you made when you walked 500 miles?

d)

How many miles were walked if you raised $60?

30.

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. Select the equation below that represents Mary's total cost, y, for x number of games bowled.

a)

y = 6 - 4x

b)

y = 10x

c)

y = 6x + 4

d)

y = 4x + 6

31.

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. How many games did she bowl if the total cost was $30

a)

5

b)

6

c)

24

d)

7

32.

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. Select the equation below that represents Mary's total number of games bowled, x, when the cost was $22.

a)

5

b)

3

c)

2

d)

4

33.

Lori pays $24.99 per month and $0.50 per text. What equation represents Lori's monthly cost where x is the number of texts and y is the monthly cost.

a)

y = .50x + 24.99

b)

y = 24.99x + .50

c)

y = 24.99x

d)

y = .50x

34.

Eva sold a total of 100 boxes of Girl Scout Cookies. Her parents bought 20 boxes and the remaining boxes were purchased equally by her 5 cousins. How many boxes does each cousin purchase?

a)

4

b)

80

c)

16

d)

14

35.

Maya earned 10 points extra credit on her next test. Each question is worth 4 points. Which equation below matches this situation where x is the number of questions and y is the total amount of points earned.

a)

x = 4y + 10

b)

y = 10x + 4

c)

y = 14x

d)

y = 4x + 10

36.

When translating word problems into math phrase, what math process does the word Quotient relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

37.

When translating word problems into math phrase, what math process does the word Take Away relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

38.

When translating word problems into math phrase, what math process does the word Of relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

39.

When translating word problems into math phrase, what math process does the word Sum relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

40.

When translating word problems into math phrase, what math process does the word Product relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

41.

Justin is purchasing a new iPhone. The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600. Which equation can be used to determine how many months Justin will be paying for his phone?

a)

25x + 100 = 600

b)

25x - 100 = 600

c)

600 - 100x = 25

d)

600 + 25x = 100

42.

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

a)

60 - 15x = 210

b)

15x - 60 = 210

c)

15x + 60 = 210

d)

210 + 15x = 60

43.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

44.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x + 63 = 35

d)

35x + 7 = 63

45.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

46.

An electrician charges $90 per hour plus a $50 travelling fee. It costs $1000 in total.

a)

1000 = 50x + 90

b)

1000 = 90x + 50

c)

90 = 1000 + 50x

d)

90x = 1000 + 50

e)

50 = 90x + 1000

47.

A car costs $45.00 to rent each day, and an additional $0.25 per mile driven. Which expression represents the cost for renting the car 5 days and driving m number of miles?

a)

45 + 0.25m

b)

45m + 0.25(5)

c)

45(5)m + 0.25

d)

45(5) + 0.25m

48.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

49.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

50.

WRITE AN EQUATION

You bought a magazine for $5 and four

erasers. You spent a total of $25. Write a 2-step equation to find the cost of one eraser.

a)

5 + x = 25

b)

5 + 4x = 25

c)

5x = 25

d)

25 - 5 = -4x

51.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

a)

120 miles

b)

100 miles

c)

110 miles

d)

150 miles

52.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x

b)

150 + 24x = 180 + 20x

c)

180 - 150 = 24 x + 20x

d)

150 - 24x = 180 - 20x

53.

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

a)

50

b)

20

c)

15

d)

25

54.

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. Which equation below can be used to find c, the total cost for one month when m, minutes are used?

a)

c = 0.12m + 8m

b)

c = 8m + 0.12m

c)

c = 0.12m + 8

d)

c = 0.20m

Translating Equations

Total questions: 54

Worksheet time: 14hrs 30mins

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