Linear Equations Word Problems

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. 

• y = 30x + 5
• y = 5x + 30

Tags

CCSS.HSF-BF.A.1A

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for many pizzas and cases of soda can she afford.

• 4x + 8y = 12

• 4x - 8y = 45

• 12xy = 45

• 4x + 8y = 45

Tags

CCSS.HSA.CED.A.3

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 

• Slope-intercept
• Standard form

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The cost for a health club membership is $20 per month plus an initial $49 membership fee. 

• Slope-Intercept Form
• Standard Form

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.

• y - 0 = 2(x - 10)

  y - 5 = 2(x - 20)

• y - 0 = 5(x - 10)

  y - 5 = 5(x- 20)

• y - 10 = 2(x - 0)

  y - 20 = 2(x -5)

• y - 10 = 6(x - 0)

  y - 20 = 6(x - 5)

A climber is on a hike. He climbs 75 feet per hour. After 6 hours, he is at an altitude of 700 feet.

What is a point-slope equation for the climber?

• y - 700 = 200(x - 6)

• y - 6 = 75(x - 700)

• y - 700 = 300(x - 6)

• y - 700 = 75(x - 6)

At Eagle Bay, it costs $10 per hour to rent a canoe.  Nick and his friends rented a canoe for 3 hours and paid $45.  Write and solve a linear equation to find the cost to rent the canoe for 7 hours.

• 95
• 85

Tags

CCSS.6.EE.B.7