Write and Identify Variables in Algebraic Equations

1. Sarah has x apples. If she buys 5 more apples, how many apples does she have now? Write an equation to represent this situation.

• x - 5

• x + 10

• 5x

• x + 5

2. A book costs $y. If you buy 3 books, how much do you spend in total? Write an equation for the total cost.

• 3y

• y/3

• 2y

• 4y

3. Tom is x years old. In 4 years, he will be twice as old as he is now. Write an equation to find his current age.

• 8

• 6

• 5

• 4

4. A rectangle has a length of 2x and a width of 3. If the perimeter is 20, write an equation to find the value of x.

• x = 5

• x = 4

• x = 2

• x = 3.5

5. Lisa has y dollars. She spends $10 and then has $15 left. Write an equation to find how much money she had initially.

• 25

• 15

• 30

• 20

6. A car travels at a speed of 60 miles per hour. If it travels for t hours, how far does it go? Write an equation for the distance traveled.

• Distance = 60t

• Distance = 60t^2

• Distance = 60 + t

• Distance = 30t

7. The sum of a number z and 12 is equal to 30. Write an equation to find the value of z.

• z = 18

• z = 25

• z = 22

• z = 15

8. A box contains x toys. If 7 toys are added to the box, the total becomes 25. Write an equation to find the number of toys originally in the box.

• 20

• 15

• 22

• 18

9. If the temperature is t degrees and it increases by 5 degrees, what is the new temperature? Write an equation to represent this change.

• new_temperature = t - 5

• new_temperature = t / 5

• new_temperature = t + 5

• new_temperature = t * 5

10. A farmer has x chickens. If he sells 3 chickens and has 12 left, write an equation to find how many chickens he had originally.

• 10

• 12

• 15

• 18