Linear Equation Word Problems

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping
• The cost will decrease by $1.40 per topping
• The cost will increase by $1.90 per topping
• The cost will decrease by $1.90 per topping 

Tags

CCSS.HSF.LE.B.5

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.LE.B.5

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Tags

CCSS.HSF.LE.B.5

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?

A camp charges families a fee of $225 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225
• y = 225x 
• y = 225x + 625
• y =  625

Tags

CCSS.8.EE.B.5

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)