Mastering Slopes: Linear Word Problems for 6th Graders

A car travels 60 miles in 1 hour. If it continues at this rate, how far will it travel in 3 hours? Calculate the slope of the distance over time.

• 240 miles

• 180 miles

• 90 miles

• 120 miles

A gardener plants 5 rows of flowers, with 4 flowers in each row. If he adds 2 more rows, how many flowers does he have now? Analyze the change in the number of flowers per row.

• 20

• 24

• 28

• 30

A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. Write a table showing the total cost for 1 to 5 hours. What is the slope of the cost per hour?

• The slope of the cost per hour is $1.

• The slope of the cost per hour is $10.

• The slope of the cost per hour is $2.

• The slope of the cost per hour is $5.

A school sells tickets for a play at $5 each. If they sell 20 tickets, how much money do they make? Create a table showing the total sales for 1 to 10 tickets and find the slope.

• Total sales for 20 tickets is $100.

• Total sales for 20 tickets is $150.

• Total sales for 20 tickets is $50.

• Total sales for 20 tickets is $200.

A train travels 150 miles in 2 hours. If it maintains this speed, how far will it travel in 5 hours? Calculate the slope of distance over time using a table.

• 250 miles

• 375 miles

• 450 miles

• 300 miles

A factory produces 100 toys in 4 hours. If production increases to 150 toys in 6 hours, what is the average rate of production? Analyze the change in production rate.

• 25 toys per hour

• 30 toys per hour

• 40 toys per hour

• 20 toys per hour

A store sells notebooks for $3 each. If a student buys 7 notebooks, how much does he spend? Create a table for 1 to 10 notebooks and find the slope of the cost.

• $21

• $24

• $18

• $15

A runner completes a 5K race in 25 minutes. If he runs at a constant speed, how long will it take him to run 10K? Calculate the slope of distance over time using a table.

• 60 minutes

• 40 minutes

• 30 minutes

• 50 minutes

A delivery truck travels 120 miles in 3 hours. If it continues at the same speed, how far will it travel in 7 hours? Calculate the slope of distance over time using a table.

• 280 miles

• 240 miles

• 350 miles

• 300 miles