Equation Expedition

Use the table below to categorize the different mathematical operations.

Groups:

(a) Add

,

(b) Subtract

,

(c) Multiply

,

(d) Divide

• Per

• Gain

• Difference

• Less Than

• Loss

• Sum

• Product

• Quotient

• Total

• Split Equally

Yes or No: Does the statement below correctly describe the equation: 50 + 10x = 150.

John wants to save $150. He already has $50 in savings and wants to save $10 each month until he reaches his goal.

Two brothers each purchased a new pair of hiking boots and two canteens. The hiking boots cost $34.00 each, for a total of $98.00.

The equation is ​ (a)   , and each canteen costs $​ (b)   .

• 2(2c+34)=98
• 2(c+34)=98
• 2c+34=98
• 7.50
• 15
• 32

• x=22.5

• x=90

• x=30

• x=7.5

Kelly is taking her little sister and her friends to the fair. She will pay $10 for her ticket and $7 for each child's ticket. Kelly ends up spending $66 for the tickets. Which equation and solution represent the number of children tickets, x, that Kelly purchased?

• 10x+7=66

  x=6

• 10+7x=66

  x=8

Shelby went to the movies this weekend. Her first ticket cost $15, and any other tickets cost $11. If Shelby spends $70, how many movie tickets did she purchase?

The variable t represents​ (a)   .

The equation that represents this situation is​ (b)   .

Shelby ended up purchasing​ (c)   tickets.

• The number of tickets purchased
• The cost of her first movie ticket.
• The total amount she spent on tickets.
• 15t+11=70
• 12
• 11
• 15+11t=70
• 5

Stacy is signing her son up for swim lessons. There is a one-time $50 fee plus a $25 fee per lesson. Stephanie paid a total of $225. For how many lessons did Stephanie register?

Stacy registered her son for ​ (a)   lessons.

​

• 35
• 4
• 30
• 10

• The first step is to add 10 to both sides.

• x=21

• X=-21

• The second step is to divide by 2 on both sides

• Divide 33.6 on both sides

• x=5

• Distribute the -4.2 to 8x and 2.3.

• Add 9.66 to both sides.