Solving Linear Word Problems
The second train is going 85 mph for t time, or 85t. In other words, when do the two distances add up to the total distance, 800 miles. Now, we divide both sides by 160, and we get t = 5.
The first train is traveling at a rate of 75 mph, so the distance it covers in t time is 75t.
In these equations, we're trying to figure out the variable, which involves getting it alone on one side of the equals sign.
There are simple problems that involve linear equations.
In order to translate your SAT word problems into actionable math equations you can solve, you’ll need to understand and know how to utilize some key math terms.
Whenever you see these words, you can translate them into the proper mathematical action.
traveling to New York, which is 800 miles away, at 75 mph.Try it risk-free From sale prices to trip distances, many real life problems can be solved using linear equations. Let's say you're a little short on cash and need a loan. You've been averaging way more than that, so maybe this isn't a great plan. If you can save each week, how many weeks will it take you to get the bike? We focused on defining the variable, or the unknown quantity, in terms of what is known, then solving for the variable.In this lesson, we'll practice translating word problems into linear equations, then solving the problems. Let's take that knowledge and look at some real life situations. Your cousin agrees to loan you money, and you agree that you'll repay him in full plus 4% interest. But, then you get a new job, and suddenly you have some extra cash. Oh, and we solved the dreaded algebra train problem. You'll be able to translate word problems into linear equations and solve those equations after watching this video lesson. We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities.A train leaves Chicago at 7 a.m., traveling at 70 mph to New York, which is 800 miles away. We're going to ignore the questionable judgment he displays in loaning money to family. You can test out of the first two years of college and save thousands off your degree.Another train leaves New York at the same time, traveling on a parallel track to Chicago at 85 mph. The question is: why do we care so much about trains? If he loans you 0, how much interest will you need to pay? You decide that you want to be better about saving money. Anyone can earn credit-by-exam regardless of age or education level.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. So, it'll take you just over 11 weeks to get that bike. If you played 3 games and paid each for shoes, how much did you pay per game? We looked at simple examples, where the problem describes a number in terms of details about it, like the sum of twice a number and 52 is 174.Plus, get practice tests, quizzes, and personalized coaching to help you succeed. If we want to save 0, then our equation is 35w = 400. After you get the bike, you decide to have some fun. Then, we looked at problems that involve real-life scenarios, from loaning money to bowling.Geometry questions will be presented as word problems typically because the test makers felt the problem would be too easy to solve had you been given a diagram, or because the problem would be impossible to show with a diagram.( Want to learn more about the SAT but tired of reading blog articles? Designed and led by Prep Scholar SAT experts, these live video events are a great resource for students and parents looking to learn more about the SAT and SAT prep.You almost always must have a solid understanding of the math topic in question in order to solve the word problem on the topic.You might also get a geometry problem as a word problem, which might or might not be set up with a scenario, too.