# translating word problems into equations examples

Translating Expressions and Equations; Equations and Word Problems; Graphing Inequalities on a Number Line; Solving Inequalities; Inequality Word Problems; Graphing xy Points; Graphing Lines by Plotting Points; Graphing Horizontal & Vertical Lines; Slope; Intercepts; Slope-Intercept Form; Linear Relationships; Solving Multiple Equations by Graphing Okay; "the ratio of (this) to (that)" means "(this) divided by (that)", so I know I'll be ending up with a division. When faced with these more-complex expressions, take your time and work carefully. This skill will come in handy when working with word problems or real life situations. But figuring out the actual equation can seem nearly impossible. Five less than two times a number is the same as seven. Don't view the lists of keywords as holy writ, handed down from on high. Let us see, how to translate the information given in a word problem into an algebraic expression or equation in the following examples. Translating Word Problems into Equations: Most of the time when someone says “word problems” there is automatic panic. The sum is of (a number) and the number 2. The order of the terms here is (the unknown), followed by the value that is being multiplied onto (the unknown). Web Design by, They may tell you that a trip took ten hours, and that the trip had two legs. For example: I'm making a big deal about this "how much is left" construction because it comes up a lot and tends to cause a lot of confusion. The examples done in this lesson will be linear equations. Since order doesn't matter for multiplication, (x)(13) = (13)(x). If you'd like to make a donation to support my efforts look for the \"Tip the Teacher\" button on my channel's homepage www.YouTube.com/Profrobbob I work through 6 EXAMPLES at 4:36 9:56 16:25 23:35 29:55 37:42 to try and help you understand how to convert word problems that you may see at the beginning of your Algebra 1 studies into equations. Whenever you see these words, you can translate them into the proper mathematical action. If you get four dollars less an hour than (an unknown worker), you wouldn't subtract that worker's pay from 4; instead, you'd subtract 4 from that worker's pay: p – 4. But the items being divided aren't simple. We will practice translating word sentences into algebraic equations. Then translate each phrase into an expression, and write them on each side of the equal sign. This translates to: To be clear, "four less than (the unknown)" in English means "(the unknown), less four" in algebra. "Number" problems, involving "Three more than two times the smaller number...". Let’s move to the third sentence in the word problem: Sam is twice as old as Jacob. Keywords Examples. If you're not sure of this, plug numbers in. Keywords that involve Addition. While "y + 8" is technically okay, it's better to use the order "8 + y", because that's the order that they used in the English. In this video, you will be able to learn how to translate sentences into equations. Example 1. Translating Word Problems: Examples. Quadratic word problems, such as projectile motion and max/min questions. Then this translates to: The instructions specify that I'm to "simplify" this expression, if possible, and it is indeed possible. Whenever they expect you to use this "how much is left" construction, you will be given some total amount. It's kinda hoped that you'll somehow figure it out on your own. Use this same order in your algebraic expression. They've given me a variable for the amount being poured into the larger container. Then the amount left over is the total, less g, or 20 – g gallons left. Let x the unknown number. "Percent of" problems, involving finding percents, increase/decrease, discounts, etc. Translating Math Word Problems Into Equations or Drawings. But word problems do not have to be the worst part of a math class. Above all, make sure that you understand what you're doing, and why. You'll quickly note that you need at least one variable, but students are often at a loss as to how to handle whatever remains, after that one variable. Purplemath. However, in algebra, we put the constant (in this case, the 13) in front of (the unknown). The keyword here is very obvious; "multiplied by" means that I'll be multiplying (the unknown) by the given value. Basic Terms and Terminology Relating to Translating Phrases and Sentences into Expressions, Equations and Inequalities. Then this translates to: English expressions can be more complicated than a simple relation between two items. S = 2 J Example 1: Use the tables above to translate the following English phrases into algebraic expressions. Remember, an equation has an equal sign between two algebraic expressions. This is the "less than" construction, which is backwards in the math from the English. Don't view the lists of keywords as holy writ, handed down from on high. If you're careful now, then you'll be well-trained by the time you get to the test. I have to figure out an expression for the amount poured into the smaller container. "Work" problems, involving two or more people or things working together to complete a task, and finding how long they took. http://youtu.be/uEqdmSLgRe0If you need help solving linear equations, please check out these lessons http://www.profrobbob.com/algebra/linear-functions-solving Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the \"Tip the Teacher\" button on my channel's homepage www.YouTube.com/Profrobbob Once you've learned the basic keywords for translating word problems from English into mathematical expressions and equations, you'll be presented with various English expressions, and be told to perform the translation. I figure this out by noting that what goes into the smaller container is whatever is left over, after the larger container is taken care of. This is the answer they're wanting.

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