![]() ![]() Multiplying or dividing like signs: The product or quotient of two numbers with like signs is always positive. Signed Numbers:Īdding or subtracting like signs: Add the two numbers and use the common sign.Īdding or subtracting unlike signs: Subtract the two numbers and use the sign of the larger, (more precisely, the sign of the number whose absolute value is largest.) If you are given information about one of the variables, you should be able to use algebra to find the other variable. You should be able to read a problem and create a table to find an equation that relates two variables. ![]() This unit introduces algebra by examining similar models. Study Tip: Remember to use descriptive letters to describe the variables. When working with percentages, remember to write them as decimals, to create tables to derive equations, and to follow the proper procedures to solve equations. Percentages play an integral role in our everyday lives, including computing discounts, calculating mortgages, savings, investments, and estimating final grades. Sale Price = Retail Price - Discount Summary: If Discount is subtracted from both sides of the equation, a formula for Sale Price is found. The retail price has two components, the sale price and the discount. The large rectangle represents the retail price. The following diagram is meant as a visualization of problem 3. (Note: the answer was rounded to the nearest cent.) The retail price for the toilet was $114.12. Solve the equation when the sale price is $97. In other words, the sale price is 85% of the retail price.Ĭ. Sale Price is the retail price minus the discount.Įxplanation: The coefficient of R is one, so the arithmetic for combining like terms is 1 - 0.15 =. Vocabulary: Retail price is the original price to the consumer or the price before the sale.ĭiscount is how much the consumer saves, usually a percentage of the retail price. The sale price of a toilet is $97 find the retail price of the toilet.Ī.Ĝomplete the table to find an equation relating the sale price to the retail price (the price before the sale). Sink Hardware store is having a 15% off sale. E is the variable that represents what Selena has to get on the final exam to get a 90 for the course.īecause Selena studied all semester, she only has to get a 79 on the final to get a 90 for the course.Įxample 3. So instead of multiplying 30% times a number, multiply 30% times E. The difference between Part a and Part b is that in Part b we don’t know Selena’s grade on the final exam. What does Selena have to get on the final exam to get a 90 for the course? Suppose Selena has an 89 homework average and a 97 test average. Pi, computes a student’s grade for the course as follows:Ī.Ĝompute Darrel's grade for the course if he has a 91 on the homework, 84 for his test average, and a 98 on the final exam.ĭarrel’s grade for the course is an 89.6, or a B+.ī. The number of questions correct is indicated by:Įxplanation: % means "per one hundred". Ethan got 80% of the questions correct on a test, and there were 55 questions. In algebra problems, percentages are usually written as decimals.Įxample 1. Not as high as you'd like? Then check out our pro-tips on how to raise your GPA.This section will explain how to apply algebra to percentage problems. ![]() ![]() It pays to be diligent bookmark this page and keep your GPA updated regularly. The last thing you want is one class dragging your hard-earned 4.0 down to a B+. Your cumulative GPA is one of the most important academic metrics out there, so it's important you keep abreast of any changes. If your current GPA doesn't include all your semesters feel free to create more, and add in the rest of your courses. Taking a heavy course load? Add as many extra classes as you need using the blue "add course" button near the bottom. Note, A and A+ both have the value of 4.0.įor each course enter the amount of credit hours you completed during the semester. Select a letter grade for each of your courses from the dropdown. Give each of your courses a name so that you'll be able to enter your grades in the proper row (it'll look nice too). In the first field, enter your most recent cumulative GPA along with the corresponding credit hours. Not into videos? Check out the list below to follow along and figure out your cumulative GPA. ![]()
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