Linear Equation Word Problems - Examples & Practice
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- (Video) Slope-Intercept Word Problems by cpfaffinator This video by cpfaffinator explains how to translate word problems into variables while working through a couple of example…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Translate to a Linear Equation Sometimes, the trick to solving a word problem will be to translate it into a linear equation. To clue you in, linear equation word problems usual…
By Zora Gilbert, Alex Federspiel, Jonathan Heller
- Word Problems with Linear Relationships When you're faced with a linear word problem, it can feel daunting to work out a solution. The good news is that there are few simple ste…
By Anusha Rahman
Problems 23
- The total cost of an electricity bill varies directly with the hours you use your electricity. For every hour you use your electricity, you are charged 25 cents. The electricity…
- Ben loves Chipotle, but every Chipotle burrito he buys costs 8.00 dollars. If Ben has 500 dollars, and only spends his money on Chipotle burritos, write a function showing how m…
- The population of the rhinoceros is decreasing due to poaching. Right now, in 201620162016, there are about 510051005100 rhinos in the wild. In the average year there is a net d…
- Gavin is playing an Xbox game. He is obsessed and will not stop playing until he has every single achievement. Gavin already has 300 achievement points. His average rate is 50 p…
- A group of astronauts are headed to the International Space Station, ISS. The team of 3 astronauts in total will drink 6 liters of water every day they are in space. The Astrona…
- Brody bought six bananas, and the total cost was 2α2\alpha2α for some constant α\alphaα. Ryder bought ten bananas, and he paid 3α3\alpha3α. If the cost of bananas can be modeled…
- A clothing business finds there is a linear relationship between the number of shirts, nnn, it can sell and the price, ppp, it can charge per shirt. In particular, historical da…
- Suppose, for example, that you want to measure the original speed of a uniformly decelerating car. You weren't there when the car began decelerating, but you can record its appr…
- Brenda has been working at the same company for 151515 years and decides to track her income received over that period of time. She finds that every three years, her pay is rais…
- Cara built a snowman yesterday that was 4 feet tall. Today, the temperature rose 15 degrees, causing the snowman to melt at a constant rate of 2 inches per hour. How much of the…
- The mapping above represents the function used to convert the temperature from Celsius to Fahrenheit: F(C)=95C+32F(C)=\frac{9}{5}C+32F(C)=59C+32. What will the temperature in F…
- Donald Duck is trying to make some extra cash. He tells Netflix they can add his movies. Netflix pays him 10000\1000010000 up front and an additional 1000\10001000 for each 100 …
- Lillie works at the local ice-cream shop. She makes 888 dollars every hour she works. What is the relationship between the hours she worked and how much money she made?
- In this scenario, does Will catch John before John reaches the escape portal? Give an answer as well as a reason.
- If her room is perfectly square and she only wants to string the tape horizontally across each side of the room once, write a function for the cost of decorating her room with c…
- Suppose a hippo runs on average 19 mph and a human runs on average 28 miles per hour. If they start running at the same time, write a function that expresses the human's distanc…
- Every fifth dollar you make you put one dollar away in savings. Write a function for the amount of money you have not in savings, in terms of the total money you have made, xxx.
- Write a function for the speed of the rollercoaster after ttt years.
- One of the first keyboards in 1981 had 84 keys. Today, 2018, keyboards have around 104 keys. If the number of keys were a linear function of time, how many keys could we expect …
- In a completely real and definitely not made up video game, you get 100 experience points for starting a quest. Then, you get 25 experience points for every monster you defeat o…
- In a completely real and definitely not made up video game, you have armor that increases your base strength by 300 points. You also have a sword that increases whatever your ba…
- At a job you have, you get paid 100\100100 every day. Furthermore, you get 300\300300 for every car you sell, 50\5050 for every mattress, and 10\1010 for every box of Cheerios. …
- A plumber fixed a leaky sink and charged 55\5555 for parts and 45\4545 per hour for labor. If the total bill was 190\190190, how many hours did the plumber spend fixing the sink?