Linear Equation Word Problems

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download 30 songs.

• y=1.29x + 2

• y=1.29 + 2x

• 30 = 1.29x + 2

• y = 1.29(30) + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

An airplane at 30,100 feet above ground begins descending at the rate of 2,150 feet per minute. Write a linear equation to find how many minutes it will take the plane to reach the ground.

• y=30100 - 2150x

• y = 30100 + 2150x

• 0 = 30100 - 2150x

• y = 30100 - 2150(0)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A group of mountain climbers begin an expedition with 250 pounds of food. The plan to eat a total of 12 pounds of food per day. Write a linear equation to find the number of days their food will last.

• y = 250 + 12x

• y = 250 - 12x

• 0 = 250 - 12x

• y = 250 - 12(0)

Tags

CCSS.6.EE.C.9

A landscaping company bought a total of 25 plants and trees. The total cost of the plants and trees was $964. Each plant costs $12, while each tree costs $95. Which set of equations correctly represents this situation?

• p + t = 25

  12p + 95t = 964

• p + t = 964

  95p + 12t = 25

• 107pt = 964

  12p + 95t = 107

• 25p = 964

Tags

CCSS.HSA.CED.A.3

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write a linear equation to find the number of tomatoes sold.

• 5p + 3t = 98

• 5(10) + 3t = 98

• 5p + 3(10) = 98

• 5(10) + 3(10) = 98

Tags

CCSS.7.EE.B.4A

ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used 120 minutes and her bill was $51. Write a equation to find the cost of the base fee. Select all that apply.

• y - 51 = 0.3 (x - 120)

• y + 51 = 0.3 (x + 120)

• y = 0.3(120) + 51

• 51 = 0.3(120) + b

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write an equation to find the daily fee. (Select all that apply.)

• 48 = 0.5x + 64

• y - 64 = 0.5 (x - 48)

• 64 = 0.5(48) + b

• 48 = 0.5(64) + b

Tags

CCSS.7.EE.B.4A

To serve 2 people at a local restaurant, it takes 12 minutes. To serve 5 people, it takes 18 minutes. What is the average rate to serve each person?

• 6 minutes per person

• 14 minutes per person

• 3.6 minutes per person

• 2 minutes per person

Tags

CCSS.HSF-LE.A.1B

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. What is the cost per lesson?

• $11.71 per lesson

• $11.10 per lesson

• $10 per lesson

• Cannot be determined

Tags

CCSS.HSF-LE.A.1B

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. What is the cost of 4 lessons?

• $40

• $46.84

• $44.36

• $52

Tags

CCSS.HSF-LE.A.1B