Mastering Slope and Equation Writing: Word Problems for 8th Graders

1. A car travels from point A (2, 3) to point B (5, 11). What is the slope of the line connecting these two points?

• 2

• 5

• 8/3

• 3/8

Tags

CCSS.8.EE.B.5

2. Using the slope from question 1, write the equation of the line in slope-intercept form.

• y = b + mx

• y = mx + b

• y = x + m

• y = mx - b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

3. A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. If the cost is represented by the points (0, 10) and (5, 20), calculate the slope of the line that represents the cost.

• 1

• 2

• 3

• 5

Tags

CCSS.8.EE.B.5

4. Write the equation in slope-intercept form for the bike rental shop's cost based on the points from question 3.

• y = 3x + 15

• y = mx + b (specific values depend on the points from question 3)

• y = 2x - 5

• y = x + 10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

5. A student scores 70 on their first test and 90 on their second test. If these scores are represented by the points (1, 70) and (2, 90), what is the slope of the line connecting these points?

• 15

• 20

• 30

• 25

Tags

CCSS.8.EE.B.5

6. Write the equation in slope-intercept form for the student's test scores using the slope from question 5.

• y = m + b

• y = b + mx

• y = mx^2 + c

• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

7. A gardener plants flowers in two different rows. The first row has 4 flowers at the 1-meter mark and 10 flowers at the 3-meter mark. Calculate the slope of the line that represents the number of flowers per meter.

• 5

• 2

• 3

• 4

Tags

CCSS.8.EE.B.5

8. Using the slope from question 7, write the equation in slope-intercept form for the number of flowers planted per meter.

• y = b + mx

• y = mx + b

• y = mx^2 + b

• y = m + bx

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

9. A store sells 3 shirts for $45 and 5 shirts for $75. Determine the slope of the line that represents the cost per shirt.

• 10

• 25

• 15

• 20

Tags

CCSS.8.EE.B.5

10. Write the equation in slope-intercept form for the cost of shirts based on the points from question 9.

• y = b + mx

• y = mx - b

• y = m + b

• y = mx + b (specific values depend on points from question 9)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3