Linear Word Problems All Types

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

• slope intercept form

• standard form

• point slope form

• two points

You are buying the hamburgers and chicken for a party. The hamburgers cost $2.75 per pound and the chicken is $3.50 per pound. If you have $75 to spend, write and solve a linear equation to find how many pounds of chicken you can afford if you buy 12 pounds of hamburger.

• Slope intercept

• Standard form

• Point slope form

• Two Points

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

• slope intercept form

• standard form

• point slope form

• two points

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

• slope intercept form

• standard form

• point slope form

• two points

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = - 30x + 100

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

A tire dealer sells all-season tires for $68 each and all-terrain tires for $125 each. In one day, the sales both tires totaled $3,926. If 14 all-terrain tires were sold, write and solve a linear equation to find the number of all-season tires sold.

• slope intercept form

• standard form

• point slope form

• two points

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth’s 9th birthday, the total population was nearly 307,650. Write and solve a linear equation to find the population on Beth’s 16th birthday.

• slope intercept form

• standard form

• point slope form

• two points

An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 12-minute call to France.

• slope intercept form

• standard form

• point slope form

• two points

To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.

• slope intercept form

• standard form

• point slope form

• two points

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x-5y=250

• 250x+5y=2