Answer:
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How to Multiply Fractions With Common Denominators
Updated April 24, 2017
By Pharaba Witt
Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.
Using Distributive Property
Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.
Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.
Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.
Using Factoring
Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.
Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.
Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).
Step-by-step explanation:
Answer: 6.5 hours
Step-by-step explanation:
You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5
Answer:
7 rides
Step-by-step explanation:
1. find the amount of money you spent on rides (total money spent - admission fee) = $19.50 - $9 = $10.50
2. find the number of rides you rode (money spent on rides/cost of each ride) = $10.50/$1.50 = 7
Answer:
Step-by-step explanation:
There are two ways to go about solving this problem, depending on your available time and fluency with the topic:
Solve it “properly”, by graphing the inequalities yourself, then comparing your graph to the available options.
Use the test-taking strategies of “ruling out answers that are clearly wrong”, followed by “use enough of what you know about the problem to select the correct answer.
Let’s walk through both, since you should be able to do both, as this problem looks very much like a practice problem for a standardized Algebra 1 test.
So! To graph a linear inequality, the steps include graphing the line, determining what type of line, and determining how it’s shaded, though the order of these steps is only important if you’re doing math in pen, which is a terrible idea.
The first inequality:
