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WorksheetsCreate Linear Equation Word Problems
Total questions: 22
Worksheet time: 1hrs 24mins
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
Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it did the day before. If he rented the same boat on Monday for just two hours, find the the total cost to rent the boat for the three days.
slope intercept form
standard form
point slope form
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
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
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
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
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
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
A road side 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 and solve a linear equation to find the number of tomatoes sold.
point slope form
standard form
slope intercept form
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
A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.
Which equation matches the situation?
2x + 4y = 100
100 + 2y = 4y
x + y = 100
y = 2x + 100
You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.
Write an equation to represent the situation
2x - 3y = 240
3y - 2x = 240
2x + 3y = 240
2 + 3 = 240
Given the table, what is the equation of the line in point slope form?
y - 12 = ½(x - 6)
y - 4 = ½(x - 8)
y + 2 = ½(x + 4)
y + 6 = ½(x +12)
A candlestick burns at a rate of .2 inches per hour. After 8 hours the candlestick is 13.4 inches tall. Write an equation representing the height of the candle after x hours.
y=.2x + 13.4
y + 13.4 = -.2(x-8)
y -13.4 = -.2(x-8)
y - 13.4 = .2(x-8)
To satisfy local building codes, a rectangular lot must have a perimeter of 500 feet before a building can be constructed on it. If L represents the length (in feet) of the lot and W represents its width (in feet), which equation represents this situation?
2L + 2W = 500
L + W = 500
L * W= 500
L= 500 + W
At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Write an equation representing the number of each that can be bought with $65
65c + 3.25d = 1.5
3.25c + 1.5 d = 65
1.5c + 3.25d = 65
3.25c + 65d = 1.5
