Slope and Equations: Real-World Word Problems for 8th Graders

A car travels 60 miles in 1 hour. What is the slope of the line representing the car's speed? Write the equation of the line.

• Slope: 60; Equation: y = 30x + 10

• Slope: 60; Equation: y = 60x

• Slope: 30; Equation: y = 30x

• Slope: 90; Equation: y = 90x

A gardener plants 5 trees in 2 hours. If he continues at the same rate, how many trees will he plant in 5 hours? Find the slope and write the equation.

• 10 trees

• 12.5 trees

• 20 trees

• 15 trees

A cyclist rides 15 miles in 30 minutes. Determine the slope of the line that represents the cyclist's speed and write the equation.

• y = 45x

• y = 30x

• y = 60x

• y = 15x

A store sells 3 shirts for $45. What is the slope of the cost per shirt? Write the equation that represents the total cost for 'x' shirts.

• C = 10x

• C = 5x

• C = 15x

• C = 20x

A runner completes a 10K race in 50 minutes. What is the slope of the distance over time? Write the equation for the runner's pace.

• Slope: 100 meters/minute; Equation: distance = 100 * time

• Slope: 300 meters/minute; Equation: distance = 300 * time

• Slope: 200 meters/minute; Equation: distance = 200 * time

• Slope: 150 meters/minute; Equation: distance = 150 * time

A train travels 120 miles in 2 hours. Find the slope of the train's speed and write the equation that represents this situation.

• y = 60x

• y = 60x + 20

• y = 120x

• y = 30x

A factory produces 200 toys in 4 hours. What is the slope of the production rate? Write the equation for the number of toys produced over time.

• Slope: 100, Equation: y = 100t

• Slope: 25, Equation: y = 25t

• Slope: 50, Equation: y = 50t

• Slope: 75, Equation: y = 75t

A student scores 80 points on a test after studying for 2 hours. What is the slope of the points scored per hour? Write the equation for the score based on study time.

• 20 points per hour; S(t) = 20t

• 80 points per hour; S(t) = 80t

• 60 points per hour; S(t) = 60t

• 40 points per hour; S(t) = 40t

A baker makes 24 cookies in 1 hour. Determine the slope of cookie production and write the equation for cookies made over time.

• C = 24t

• C = 12t

• C = 30t

• C = 24t + 5

A swimmer covers 100 meters in 50 seconds. Find the slope of the swimmer's speed and write the equation that represents the distance over time.

• Slope of speed: 2; Equation: d = 2t

• Slope of speed: 1; Equation: d = t

• Slope of speed: 0.5; Equation: d = 0.5t

• Slope of speed: 4; Equation: d = 4t