Tutor profile: Carrie Y.
Subject: Applied Mathematics
A chemist has a certain number of containers of liquid. Each container is labeled with the number of fluid ounces it contains. The chemist is assigning a lab assistant the task of labeling each container with the number of cups of liquid it contains. Which of the following formulas should the chemist give to the lab assistant to use for the task? A) cups = 0.125 x (fluid ounces) B) cups = 8 ÷ (fluid ounces) C) cups = 8 x (fluid ounces) D) cups = 8 + (fluid ounces) E) cups = (fluid ounces) – 8
The answer is A) cups = 0.125 x (fluid ounces) If we know that 1 cup equals 8 ounces then we can convert the fluid ounces labeled on each container into cups based on this knowledge. In essence, whenever you see a faction, it is just another reason to divide the two numbers for a simple result. In other words, 1 fluid ounce = 1 / 8 cup; or 1 cup = 8 fluid ounce. Since 1 / 8 = 0.125 then cup = 0.125 x (fluid ounces), where you would plug in the number of fluid ounces labeled on the container into this equation to convert to cups.
Isolating x in an equation: You can solve algebraic equations by isolating x—that is, by getting x alone on one side of the equation and everything else on the other side. For most equations, isolating x involves a few steps. Here is a practice equation to get started: Find the value of x in 9x - 2 = 6x + 7
Answer: x = 3 First, add or subtract the same number from each side to get all constants (non-x terms) on one side of the equation. In this example, you want to get all constants on the right side of the equation, so you need to add 2 to both sides. 9x - 2 = 6x + 7 +2 +2 ___________ 9x = 6x + 9 Second, you add or subtract to get all x terms on the other side of the equation. Here, you want to get all x terms on the left side, so you subtract 6x from both sides: 9x = 6x + 9 -6x = -6x ____________ 3x = 9 Third, you divide by 3 to isolate x: 3x = 9 /3 /3 x = 3
Subject: Basic Math
Basic Math is used and needed for every day living, like when you're purchasing products on sale at the grocery store, or driving from one place to the next and needing to understand how long it'll take you to travel based on your speed and distance, or deciding on which is the best move considering your odds and chances while strategically playing a fun game. Here, you're asked a basic math question to test your ability to understand fractions, division, and ratios. If you are given the following question: what percent is the ratio of 8:5? What is the correct answer: A) 75% B) 150% C) 175% D) 160%
The answer is D) 160%. When you have a ratio of x:y, it's really just another way of saying x divided by y. And when you need to convert a fraction into a percentage, that divided answer is multiplied by 100 to obtain the correct value. In this example, the ratio of 8:5, or rather, 8 divided by 5 is 1.6. To convert this to a percentage, 1.6 is multiplied by 100 to yield 160%, which is D) 160%.
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