Solving Multi-Step Equations: Explore Variable Relationships

A tape diagram shows that Sarah has 3 times as many apples as Tom. If Tom has x apples, write an expression for the number of apples Sarah has. If Tom has 4 apples, how many apples does Sarah have?

• 15

• 8

• 10

• 12

In a tape diagram, the total length is represented as 2x + 5. If the tape represents the total number of books in a library, and 5 books are already checked out, how many books are left if x is 10?

• 25

• 20

• 15

• 30

A tape diagram shows that the length of a rectangle is 4 more than twice its width. If the width is represented by w, write an equation for the length. If w is 3, what is the length?

• 12

• 10

• 6

• 8

In a tape diagram, the total amount of money is represented as 5x + 10. If 10 dollars are spent, how much money is left if x is 6?

• 40

• 50

• 30

• 20

A tape diagram shows that the number of students in Class A is 2 less than twice the number of students in Class B. If Class B has y students, write an expression for Class A. If Class B has 5 students, how many are in Class A?

• 4

• 6

• 8

• 10

A tape diagram shows that the total distance traveled is represented by 3x + 12. If a car travels 12 miles and the remaining distance is 3 times the number of hours traveled, how many hours did the car travel if x is 4?

• 4 hours

• 2 hours

• 6 hours

• 8 hours

In a tape diagram, the total cost of items is represented as 7x + 15. If 15 dollars are spent on snacks, how much is left if x is 5?

• 10

• 50

• 20

• 35

A tape diagram shows that the number of books read by Lisa is 3 more than the number of books read by Mark. If Mark read m books, write an expression for the number of books Lisa read. If Mark read 6 books, how many did Lisa read?

• 12

• 6

• 15

• 9

In a tape diagram, the total number of tickets sold is represented as 4x + 8. If 8 tickets were given away for free, how many tickets were sold if x is 5?

• 20

• 12

• 16

• 28

A tape diagram shows that the total weight of two bags is represented as 2x + 10. If one bag weighs 10 pounds, how much does the other bag weigh if x is 8?

• 8 pounds

• 16 pounds

• 12 pounds

• 20 pounds