Mastering Variables: Create Equations from Scenarios

1. Sarah has x apples. If she buys 5 more apples, she will have 15 apples. Write an equation to find out how many apples she had originally.

• 5

• 20

• 10

• 12

2. A book costs $x. If you buy 3 books and spend $45, create an equation to determine the cost of one book.

• 10

• 15

• 25

• 20

3. Tom is x years old. In 5 years, he will be twice as old as he is now. Formulate an equation to find Tom's current age.

• 10

• 3

• 7

• 5

4. A rectangle has a length of 2x and a width of 3. If the perimeter is 30, write an equation to find the value of x.

• x = 8

• x = 4

• x = 10

• x = 6

5. Lisa has $50. She spends x dollars each week. After 4 weeks, she has $10 left. Create an equation to find out how much she spends each week.

• 10

• 15

• 5

• 20

6. A car travels at a speed of x miles per hour. If it takes 3 hours to reach a destination, write an equation to express the total distance traveled.

• Distance = 6x

• Distance = 3x

• Distance = x/3

• Distance = 9x

7. A school has x students. If 20 more students enroll, the total becomes 200. Create an equation to find the original number of students.

• 190

• 200

• 180

• 160

8. A movie ticket costs $x. If you buy 4 tickets and spend $32, write an equation to determine the price of one ticket.

• $16

• $12

• $24

• 8

9. A gardener plants x flowers. If he plants 10 more flowers, he will have a total of 50 flowers. Formulate an equation to find out how many flowers he started with.

• 40

• 30

• 50

• 20

10. A train travels x miles in 2 hours. If it travels 120 miles in total, create an equation to find the speed of the train in miles per hour.

• 60 miles per hour

• 45 miles per hour

• 90 miles per hour

• 30 miles per hour