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# Tutor profile: Kathleen Q.

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Kathleen Q.
Math tutor for 5 years, continuing education to become a math and science teacher
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## Questions

### Subject:Pre-Algebra

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Question:

How would you solve 3+(2+6)^2+9/3 using the Order of Operations?

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Kathleen Q.

First, we solve what in inside the parenthesis so our next expression is 3+(8)^2+9/3. Next, we solve the exponents so our next expression is 3+64+9/3. Next, we do division so the next expression will be 3+64+3. Now just solve the expression by adding all the numbers together. The answer is 70.

### Subject:Basic Math

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Question:

Kelly goes to the grocery store with \$1. Each apple is 20 cents and each banana is 60 cents. How many apples and bananas can she get for \$1.

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Kathleen Q.

First, we create variables for the apples and bananas. Let's say a for apple and b for banana. Now let's create an equation based on the statement, \$1 = .20a+.60b. Now we will guess and check to find a and b to equal to \$1. \$1 = .20(1)+.60(1) which equals .80 so we need to raise it by .20 to get \$1. So our final completed equation is \$1 = .20(2)+.60(1). So Kelly can by 2 apples and 1 banana for \$1.

### Subject:Algebra

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Question:

If x varies inversely proportionally to the square root of y, and x=4 and y=16. Find y when x=2.

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Kathleen Q.

First, we need to set up the two sides of the given equation. In this type of problem there is an unstated constant, k. For the variable x, "inversely" means that x will be in the denominator like so 1/x. Now the variable y is under a square root, also written like so y^(1/2). Now to combine the two sides and add the constant k, (k/x)=y^(1/2). Second we enter the given information, (k/4)=16^(1/2). Now we know that the square root of 16 is 4 and we should multiply the x-term, 4 to isolate k. Now we have k=16. Third step is to solve the problem for y, so now we have (16/2)=y^(1/2). This resolves to 8^2=y, and so y=64.

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