Slope & Y-Intercept Word Problems for 8th Graders

1. A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and identify the y-intercept.

• y = 0.15x + 20; y-intercept is 20.

• y = 0.15x + 10; y-intercept is 10.

• y = 20x + 0.15; y-intercept is 0.15.

• y = 0.20x + 20; y-intercept is 20.

2. If a bike rental shop charges $10 for the first hour and $5 for each additional hour, what is the slope of the cost equation?

• 5

• 10

• 15

• 20

3. A gardener plants flowers in a straight line. If the first flower is planted at (0, 2) and the second at (4, 10), what is the slope of the line representing the height of the flowers?

• 1.5

• 5

• 2

• 3

4. A taxi company charges a base fare of $3 plus $2 per mile. Write the equation in slope-intercept form and identify the y-intercept.

• y = 3 + 2x; y-intercept is 2.

• y = 2x + 5; y-intercept is 5.

• y = 2x + 3; y-intercept is 3.

• y = 3x + 2; y-intercept is 2.

5. A student scores 80 points on their first test and 90 points on their second test. If the scores are plotted on a graph, what is the slope of the line connecting these two points?

• 5

• 15

• 20

• 10

6. A delivery service charges a fee of $5 plus $1.50 for each package delivered. Write the equation in slope-intercept form and identify the y-intercept.

• y = 1.5x + 0; y-intercept is 0.

• y = 5x + 1; y-intercept is 1.

• y = 1.5x + 10; y-intercept is 10.

• y = 1.5x + 5; y-intercept is 5.

7. A swimming pool is filled with water at a rate of 3 gallons per minute. If the pool starts with 50 gallons, write the equation in slope-intercept form and identify the y-intercept.

• y = 3x + 50; y-intercept is 50.

• y = 3x + 70; y-intercept is 70.

• y = 5x + 50; y-intercept is 50.

• y = 3x + 30; y-intercept is 30.

8. A store sells notebooks for $2 each and has a fixed cost of $10 for supplies. Write the equation in slope-intercept form and identify the y-intercept.

• y = 2x - 10; y-intercept is -10.

• y = 10x + 2; y-intercept is 2.

• y = 2x + 10; y-intercept is 10.

• y = 2x + 5; y-intercept is 5.

9. A train travels from station A to station B, covering 120 miles in 2 hours. What is the slope of the line representing the train's speed?

• 90 miles per hour

• 60 miles per hour

• 30 miles per hour

• 120 miles per hour

10. A phone plan costs $30 per month plus $0.10 per text message. Write the equation in slope-intercept form and identify the y-intercept.

• y = 0.10x + 10; y-intercept is 10.

• y = 0.10x + 30; y-intercept is 30.

• y = 30x + 0.10; y-intercept is 0.10.

• y = 30 + 0.10x; y-intercept is 0.10.