Free Printable Solving Equations in Real Life

Worksheets

Solving Equations in Real Life

Total questions: 25

Worksheet time: 6hrs 15mins

Name

Class

Date

You bought a $5 gift card and 5

stuffed animals. You spent a total of $30. How

much did each stuffed animal cost?

x = 5

x = 7

x = 10

x = 3

Paul opens a savings account with $350. Each month he deposits $150 into the account from his paycheck. After how many months will he have $2450?

x = 14

x = 18.66

x = 6.57

x = 7.42

Pete’s Painting charges $25 to paint a bedroom, plus an additional $0.50 each square foot that they paint. If they charged me $201 to paint my kitchen, how many square feet did they paint?

0.50x + 25 = 201

25x + 0.50 = 201

0.50x + 201 = 25

25x + 201 = 0.50

Amir wants to buy a video game that costs $70, but he only has $20. He can earn $10 for each car he washes. How many cars he must wash to have enough money to buy the game?

5 cars

7 cars

2 cars

4 cars

Shane bought a notebook for $2.50 and 6 pens. He spent a total of $10. How much did each pen cost?

$1.25

$5.00

$1.67

$2.00

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

6 + 7x = 331

331 - 6x = 7

6x + 7 = 331

6x + 7y =331

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

18,500 + 2,500 = 250x

2,500 - 250x = 18,500

250x + 2,500 = 18,500

2,500 (250)x = 18,500

WRITE AN EQUATION

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

x/2 + 4 = 12

x/2 - 4 = 12

12 - 4 = x

12 - 4 = -x/2

Joe's BBQ sells BBQ by the pound. Michelle buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?

$5.30

$3.95

$8.22

$5.32

10.

Jason says that 10 less than one third of his age is 11 years old. How old is Jason?

3 years old

7 years old

57 years old

63 years old

11.

Rachel and Sharon are splitting up their Pokemon cards. Rachel has 4 fewer than 3 times as many as Sharon. Together they have 100 cards. Which equation could be used to solve for how many cards Sharon had originally?

n + (3n - 4) = 100

n - (3n - 4) = 100

n + (4 - 3n) = 100

4 - 3n = 100

12.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

4 boxes

5 boxes

6 boxes

7 boxes

13.

Diego scores 11 more points than Travis. Together they score 21 points. How many points did each person score?

Diego: 11, Travis: 10

Diego: 10, Travis: 11

Diego: 5, Travis: 16

Diego: 16, Travis: 5

14.

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.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

15.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

.50x + 20 = 35

.50x = 35

.50 + 20x = 35

.50x - 20 = 35

16.

The steps in solving 5b - 6 = 24 are:

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

17.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

18 miles

20 miles

22 miles

18.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

C = 0.20x + 15

C =15 (0.20x)

C = 15 + x + 0.20

C = 0.20 + 15x

19.

The first play of a football game resulted in a loss of 12 yards. Then a penalty resulted in another loss of 5 yards. What is the total loss or gain?

a gain of 7 yards

a loss of 7 yards

a gain of 17 yards

a loss of 17 yards

20.

Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 40 cards left. How many cards did Keith start with?

100

21.

6(3x-5) -7x=25

x= 5

x= 6

x= -5

x= -6

22.

7w-3(4w+8)=11

w= 3

w= 9

w= -7

w= 7

23.

What is the solution to

-6

-3.5

-4

24.

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

j + 26 = 47

26j = 47

j - 26 = 47

47j = 26

25.

What is the second step in solving the following equation?
-3x + 5 = 20

Subtract 5 from both sides

Divide both sides by -3

Divide both sides by 3

add 3x to both sides

100 %

Solving Equations in Real Life

Total questions: 25

Worksheet time: 6hrs 15mins

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