Equations in Context

A group of friends wants to go to the amusement park. They have $106 to spend on parking and admission. Parking is $10, and tickets cost $16 per person, including tax. How many people can go to the amusement park?

• 4

• 5

• 6

• 7

Camila bought snacks for her team's practice. She bought a bag of chips for $3.04 and a 15-pack of juice bottles. The total cost before tax was $31.54. How much did each bottle of juice cost?

• $1.5

• $1.7

• $1.9

• $2.1

Alyssa needed to get her computer fixed. The technician charged her $90 for parts and worked for 3.25 hours. The total cost was $236.25. What was the cost of labor per hour?

• $35

• $40

• $45

• $50

Leah has a points card for a movie theater. She receives 75 rewards points for signing up and earns 14.5 points for each visit. She needs 162 points for a free movie ticket. How many visits does Leah need to make to earn a free movie ticket?

• 4

• 5

• 6

• 7

Ruby buys cheese and lemons at the store. She pays $5.23 for cheese and buys 6 bags of lemons, paying a total of $38.59. How much does each bag of lemons cost?

• $4.56

• $5.56

• $6.56

• $7.56

Benjamin is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 63, what is Benjamin's age?

• 20

• 21

• 22

• 23

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 118 meters. What are the length and width of the rectangle?

• Width: 27, Length: 28

• Width: 28, Length: 29

• Width: 29, Length: 30

• Width: 30, Length: 31

The lengths of the four sides of a quadrilateral are consecutive integers. If the perimeter is 78 centimeters, what is the value of the shortest side?

• 16

• 17

• 18

• 19

When an integer is subtracted from 5 times the next consecutive integer, the difference is 37. What is the value of the greater integer?

• 7

• 8

• 9

• 10

The sum of an integer and 3 times the next consecutive integer is -25. What is the value of the greater integer?

• -4

• -5

• -6

• -7