![]() ![]() This strategy will help you become successful with word problems. Now we’ll develop a strategy you can use to solve any word problem. This method works as long as the situation is familiar to you and the math is not too complicated. ![]() You had to restate the situation in one sentence, assign a variable, and then write an equation to solve. The word problems applied math to everyday situations. You have also translated word sentences into algebraic equations and solved some word problems. Since then you’ve increased your math vocabulary as you learned about more algebraic procedures, and you’ve had more practice translating from words into algebra. In earlier chapters, you translated word phrases into algebraic expressions, using some basic mathematical vocabulary and symbols. Even if you have struggled with word problems in the past, you have acquired many new math skills that will help you succeed now! Use a Problem-Solving Strategy for Word Problems Whether it’s driving a car, snowboarding, cooking a gourmet meal, or speaking a new language, you have been able to learn and master a new skill. Think of something that you can do now but couldn’t do three years ago. If we take control and believe we can be successful, we will be able to master word problems. Works better for you.When it comes to word problems, a positive attitude is a big step toward success. 16 times eight, and then after that, you each incremental hour's $24 an hour. 10 hours, and keep trying values where for the first eight You could said, okay, ifĪlfonso works eight hours, well that's too little. Now there might have beenĪnother way to do this. We get 16, x is equal to 16 which is that choice right over there. Now to solve for x, you justĭivide both sides by 24, and we get x is equal to, I'll SIMPLE ALGEBRA WORD PROBLEMS PLUSSo you have 320 plus 192, minus 128, is equal to 384. You could do this by hand, but I keep talking about a calculator, so let me just get aĬalculator out and do it. We're just left with a 24x, and then our right-hand side, Subtracting the same amount from both sides. So we can, well we can add 192 and then we can subtract 128. That on the left-hand side, we have to do that on So we can get rid of thisġ28 and this negative 192 by subtracting 128 and adding 192. And like we've seen before, we want to isolate the xs You to use a calculator if you feel a little bit uncomfortable. And once again, you can use a calculator on the practice if you don'tįeel comfortable doing that or if you don't want to do it on paper. Four times eight is 32, so it's minus 192. 24 times x and then minus 24 times eight. So that is 128, plus, now we can distribute this 24. ![]() To do it in your head, eight times six is 48, Use a calculator for that, but you might be able And so now we have thisĪlgebraic expression and we can solve for x. And so this expression right over here, this is going to be the total amount that he's going to make for the shift, and they tell us that is $320. Hour for eight hours, and then 12 minus eight, he's going to make $24 for So for example, x were 12, he's gonna make $16 an But we're saying the remaining hours after he works the first eight hours. The remaining hours? You might be tempted to say x, but x would be his total shift. Going to make $24 per hour, times the remaining hours. So he's going to make $16 per hour, times the first eight hours, and then plus, then he's Working more than eight hours because eight times 16, you might be able to do that in your head, but it's nowhere close to $320. So if the shift is x hours long, how much would Alfonso make? Well, we can see that he's Let's say that x is equal to the number of hours of the shift. They want us to figure out how many hours long was Alfonso's shift? So let's just make that what If Alfonso earned $320įrom a single shift, how many hours long was that shift? Pause this video, see if ![]() For each additional hour he works beyond the first eight Alfonso earns $16 per hour for the first eight hours of his shift. ![]()
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