Linear Equation Word Problems

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

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

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

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)

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

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

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

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. What is 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.

Each month, Olin’s cell phone plan costs $34.99, plus $12.95 per GB of data that he uses. His bill this month was $60.89. Which equation can be used to find the amount of data (d) Olin used this month?

• 34.99d +12.95 = 60.89

• 34.99 + d = 60.89

• 34.99 - 12.95d = 60.89

• 34.99 + 12.95d = 60.89

The temperature where Cally lives is 73℉ and is falling 2℉ per hour. Which of the following equations can be used to determine how many hours (h) it will take for the temperature to drop to 65℉?

• 73 - 2h = 65

• 73 - 65 = 2h

• 65 - 2h = 63

• 2h - 73 = 65