Slope and Equation Writing Challenge for 8th Graders

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation that represents the total cost (C) as a function of miles driven (m).

• C = 50 + 0.20m

• C = 0.20m - 50

• C = 50 + 0.50m

• C = 50 - 0.20m

If a line has a slope of 3 and passes through the point (2, 5), write the equation of the line in slope-intercept form.

• y = 3x + 5

• y = -3x + 11

• y = 3x - 1

• y = 3x + 1

A gardener is planting a row of trees. The first tree is planted at the coordinate (1, 2) and the second tree at (4, 8). What is the slope of the line that connects these two trees?

• 3

• 1.5

• 4

• 2

A bike shop sells bikes for $200 each. If the shop sells 5 bikes, how much money will they make? Write an equation to represent the total sales (S) based on the number of bikes sold (b).

• $800

• $1200

• $1000

• $500

A student scored 75 on their first math test and 90 on their second test. If the scores are increasing linearly, write an equation to represent the student's score (S) based on the test number (t).

• S = 20t + 55

• S = 10t + 65

• S = 5t + 70

• S = 15t + 60

A taxi charges a base fare of $3 plus $2 per mile. Write the equation for the total fare (F) based on the number of miles (m) driven.

• F = 3 + 2m

• F = 2 + 3m

• F = 3m + 2

• F = 2m - 3

If a line has a slope of -2 and passes through the point (3, 4), what is the equation of the line in point-slope form?

• y - 4 = 2(x - 3)

• y - 4 = -3(x - 3)

• y - 4 = -2(x - 3)

• y + 4 = -2(x + 3)

A store sells notebooks for $2 each. If a student buys x notebooks, write an equation for the total cost (C) of the notebooks.

• C = 2x + 1

• C = x/2

• C = 2 + x

• C = 2x

A train travels at a constant speed of 60 miles per hour. Write an equation that represents the distance (D) traveled after t hours.

• D = 60t^2

• D = 60t

• D = 30t

• D = 60 + t

A basketball player scores 10 points in the first quarter and 15 points in the second quarter. If the player continues to score at the same rate, write an equation to predict the total points scored (P) after q quarters.

• P = 15 * q

• P = 25 * q

• P = 12.5 * q

• P = 10 + 15 * q