6th Grade Expressions: Variables & Simplifying Problems

1. Sarah has x apples. If she buys 5 more apples, how can we express the total number of apples she has now?

• x + 5

• x + 10

• 5x

• x - 5

2. If the expression 3y + 4 represents the number of books Tom has, what does y represent?

• y represents the number of sets of 3 books Tom has.

• y represents the total number of books Tom has.

• y represents the number of shelves Tom owns.

• y represents the number of pages in each book.

3. A rectangle has a length of 2x and a width of x. Write an expression for the perimeter of the rectangle and simplify it.

• 6x

• 2x

• 4x

• 8x

4. Emily has m marbles. If she gives away 3 marbles, how can we express the number of marbles she has left?

• m - 3

• 3 - m

• m - 1

• m + 3

5. The expression 5a - 2 represents the number of stickers in a collection. If a = 4, how many stickers does she have?

• 18

• 16

• 20

• 22

6. A box contains n toys. If 6 toys are added to the box, write an expression for the new total and simplify it.

• n + 12

• n - 6

• n + 6

• 6n

7. If the expression 4x + 7 represents the total cost of x notebooks, what does the number 4 represent in this context?

• The number 4 represents the total cost of all notebooks.

• The number 4 represents the discount applied to the notebooks.

• The number 4 represents the cost of one notebook.

• The number 4 represents the number of notebooks purchased.

8. Jake has p pencils. If he loses 2 pencils, how can we express the number of pencils he has now?

• p - 1

• p + 2

• p - 2

• p / 2

9. The expression 2x + 3x - 5 can be simplified. What is the simplified expression?

• 5x - 5

• 3x - 5

• 2x - 5

• 5x + 5

10. A garden has 3y flowers. If 2y flowers bloom, write an expression for the total number of flowers in bloom and simplify it.

• 2y

• 5y

• 3y

• 4y