Patty C.

Tutor for more than 7 years for High school and Grade school students

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Pre-Calculus

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Question:

Determine the slope of a line passing through points (5,-2) and (-3, 4)

Patty C.

Answer:

Write out the equation for the slope and plug in the numbers. slope = (y2 - y1) / (x2 - x1) --> if you don't remember which goes on top (y or x), remember that slope is rise / run so vertical (y axis) / horizontal (x axis) slope = (4 - (-2) / (-3 - 5) slope = 6 / -8 or -3/4

Pre-Algebra

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Question:

Translate the following into an equation: two times the sum of 56 and a number

Patty C.

Answer:

Follow the sentence by putting the appropriate number and operation. Two (2) times (*) the sum (means adding) of 56 and a number (X) Since we have to add 56 and the number first before multiplying by 2, we put them in a parenthesis first. So the answer is: 2 * (56+X)

Algebra

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Question:

You're so close to being on the honor roll! If you got an 88, 84, 92 and 90 on your last four Math tests, what grade would you need on the next test to get a mean score of 90?

Patty C.

Answer:

This question comes out a lot on standardized tests. If you find that you have no clue whatsoever, look for key math words. In this case, "mean". Then, write down the equation of mean. mean = (add everything together)/(total number of items). Remember there is still a mystery grade for the 5th test. Then, substitute the numbers from the question into their corresponding spot. mean = 90, mystery number = X, add everything else = 88+84+92+90, total number of items = 5 90 = (X+354)/5 Solve for X by first getting rid of the fraction. (multiply both sides by 5 90*5 = (X+354) * 5 / 5 450 = X+354 450 - 354 = X 96 = X So you would need to score a 96 on the 5th test to get a mean score of 90

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