Create Equations from Tables and Graphs: Grade 6 Quiz

A table shows the number of books read by students in a month: January: 5, February: 8, March: 12. Write an equation to represent the relationship between the month number (x) and the number of books read (y).

• y = 5x - 3

• y = 3x + 2

• y = 2x + 5

• y = 4x + 1

A graph shows the distance traveled by a car over time. At 1 hour, the car has traveled 60 miles, and at 2 hours, it has traveled 120 miles. Write an equation that represents the distance (y) as a function of time (x).

• y = 60x + 10

• y = 60x

• y = 30x

• y = 120x

A table lists the number of hours a student studies and their corresponding test scores: 1 hour: 70, 2 hours: 80, 3 hours: 90. Create an equation to model the relationship between hours studied (x) and test score (y).

• y = 10x + 60

• y = 5x + 65

• y = 20x + 50

• y = 15x + 55

A graph shows the temperature in degrees Fahrenheit throughout the day. At 6 AM, the temperature is 50°F, and at 12 PM, it is 70°F. Write an equation to represent the temperature (y) as a function of time (x) in hours since midnight.

• y = 20x - 10

• y = 15x + 10

• y = (10/3)x + 20

• y = 5x + 40

A table shows the number of tickets sold for a school play: Day 1: 20, Day 2: 35, Day 3: 50. Write an equation that models the number of tickets sold (y) based on the day (x).

• y = 15x + 5

• y = 10x + 10

• y = 20x + 0

• y = 5x + 15

A graph depicts the growth of a plant over weeks. At week 1, the plant is 2 inches tall, and at week 4, it is 8 inches tall. Write an equation to represent the height of the plant (y) as a function of weeks (x).

• y = 2x

• y = 3x - 1

• y = x + 2

• y = 4x

A table shows the cost of apples based on the number of pounds purchased: 1 pound: $2, 2 pounds: $3.50, 3 pounds: $5. Write an equation to represent the cost (y) based on the weight in pounds (x).

• y = 3x - 2

• y = 0.5x + 2

• y = 1.5x + 0.5

• y = 2x + 1

A graph illustrates the number of visitors to a museum over a week. On Monday, there were 100 visitors, and on Friday, there were 300 visitors. Write an equation to model the number of visitors (y) as a function of the day of the week (x).

• y = 50x + 50

• y = 100x + 200

• y = 200x - 100

• y = 150x + 100

A table shows the number of hours worked and the corresponding pay: 10 hours: $100, 20 hours: $200, 30 hours: $300. Create an equation to represent the relationship between hours worked (x) and pay (y).

• y = 10x

• y = 20x

• y = 5x

• y = 15x

A graph shows the speed of a bicycle over time. At 0 minutes, the speed is 0 mph, and at 10 minutes, the speed is 15 mph. Write an equation to represent the speed (y) as a function of time (x) in minutes.

• y = 3x

• y = 1.5x

• y = 15x - 150

• y = 0.5x