Solve for Unknowns: Like Terms Equation Challenge

1. Sarah has 3 apples and x more apples. If she buys 5 more apples, how many apples does she have in total? Write an equation to represent this and solve for x.

• x + 3

• x + 10

• x + 8

• x + 5

2. Tom has y toy cars. He gives away 4 cars and then buys 6 more. If he now has 10 toy cars, what is the value of y?

• 8

• 12

• 6

• 4

3. A box contains 2x pencils. If 3x pencils are added to the box, how many pencils are there in total? Write an equation and simplify it.

• 4x

• 5x

• 3x

• 6x

4. Lisa has 5 books and she buys 2 more. If she gives away y books, and now has 6 books left, how many books did she give away?

• 2

• 4

• 1

• 3

6. A baker made 3 dozen cookies and then made x more. If he sold 5 dozen cookies, how many cookies does he have left? Write an equation to find x.

• x + 5 = cookies left

• x - 12 = cookies left

• x - 24 = cookies left

• x + 24 = cookies left

7. A farmer has 2x chickens and buys 4 more. If he sells y chickens, and now has 10 chickens, what is the value of y?

• 2x - 6

• y = 10 - 2x

• 2x - 4

• 2x + 4

8. Emma has 7 stickers and she buys 2x more stickers. If she gives away 3 stickers, how many stickers does she have now? Write an equation and solve for x.

• 8

• 6

• 5

• 10

9. A library has 5x books. If 3x books are checked out and 2x books are returned, how many books are in the library now? Write and simplify the equation.

• 2x

• 4x

• 3x

• 5x

10. Jake has 10 marbles and he collects x more marbles. If he loses 4 marbles, how many marbles does he have now? Write an equation to find x.

• x - 6

• x + 6

• x + 10

• x + 4