Mastering Linear Word Problems: Equations & Graphs

A car travels from point A (2, 3) to point B (6, 7). Write the equation of the line that represents the car's path. What is the slope of this line?

• y = -x + 5; slope = -1

• y = 2x + 3; slope = 2

• y = 3x - 6; slope = 3

• y = x + 1; slope = 1

A store sells 5 apples for $3 and 10 apples for $5. Determine the linear equation that represents the cost of apples based on the number of apples purchased. What is the y-intercept?

• y = 0.4x + 2; y-intercept = 2

• y = 0.4x + 1; y-intercept = 1

• y = 0.5x + 2; y-intercept = 2

• y = 0.3x + 0; y-intercept = 0

Tags

CCSS.8.EE.B.5

A bike rental shop charges a flat fee of $10 plus $2 for each hour rented. If the cost for 3 hours is $16, write the linear equation for the total cost. Graph the equation using the points (0, 10) and (3, 16).

• C = 2h - 10

• C = 10 + 2h

• C = 10 + 3h

• C = 10h + 2

Tags

CCSS.8.EE.B.5

A gardener plants flowers in two rows. The first row has 4 flowers at (1, 2) and the second row has 8 flowers at (5, 6). Find the slope of the line connecting these two points and interpret its meaning in the context of the garden.

• 1

• 0

• -1

• 2

Tags

CCSS.8.EE.B.5

A delivery truck travels from a warehouse at (0, 0) to a customer at (4, 8). Write the equation of the line that represents the truck's route. How far does the truck travel if it takes a direct path?

• y = 2x; Distance = 4√5 units

• y = 3x; Distance = 5√2 units

• y = 4x; Distance = 8 units

• y = x; Distance = 10 units

Tags

CCSS.6.G.A.3

A school is planning a field trip. The cost for 10 students is $150 and for 20 students is $250. Write the linear equation for the total cost based on the number of students. What is the slope of this equation?

• The slope of the equation is 20.

• The slope of the equation is 10.

• The slope of the equation is 5.

• The slope of the equation is 15.

A train travels from station A at (1, 5) to station B at (4, 11). Determine the equation of the line that represents the train's journey. What does the slope indicate about the train's speed?

• y = 0.5x + 1

• y = 3x - 2

• y = 2x + 3

• y = x + 4

Tags

CCSS.8.EE.B.5

A restaurant's revenue increases from $200 at 10 customers to $400 at 20 customers. Write the linear equation for revenue based on the number of customers. Graph the equation using the points provided.

• R = 30C

• R = 25C

• R = 20C

• R = 10C

Tags

CCSS.8.EE.B.5

A swimming pool is filled with water at a rate of 3 gallons per minute. If the pool has 15 gallons of water at the start, write the linear equation for the amount of water in the pool over time. What is the y-intercept?

• 10

• 20

• 15

• 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A factory produces 100 units at a cost of $500 and 200 units at a cost of $800. Write the linear equation that represents the cost based on the number of units produced. What is the slope of this equation?

• y = 5x + 150; slope = 5

• y = 2x + 100; slope = 2

• y = 4x + 300; slope = 4

• y = 3x + 200; slope = 3

Tags

CCSS.8.EE.B.5