Calvin W.

High School Math Teacher

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Pre-Algebra

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Question:

Simplify the square root of 75.

Calvin W.

Answer:

To simplify this square root we need to find the largest factor of 75 that is a perfect square. If we list the factors of 75, we get 1, 3, 5, 15, 25 and 75. The largest number on the list that is a perfect square is 25, which is 5^2. We can rewrite the square root as two square roots: sqrt25 * sqrt3 (since 25*3 = 75). We can then replace the sqrt25 with 5, since the square root of 25 is 5. This gives us the final answer of 5sqrt3.

Basic Math

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Question:

What is 17% of 142?

Calvin W.

Answer:

You can set up a proportion that looks like this: is/of = %/100. Since it says "what is," we are looking for the "is" part, so we can use x for that. The 117% means that we put a 17 in for the % part, and the "of 142" tells us to replace the of with 142. This gives us x/142 = 17/100. We can cross-multiply, meaning we take the top left and bottom right numbers and multiply them and set it equal to the other two multiplied. This gives us 100x = 142(17). Doing the multiplication gives us 100x = 2414. The last thing we need to do is divide by 100 to get x = 24.14, meaning that 24.14 is 17% of 142.

Algebra

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Question:

How do you simplify the expression 2(x-7)?

Calvin W.

Answer:

You need to distribute the 2 to both the x and the -7, so you will get 2x + 2(-7), which simplifies to 2x-14.

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