College Placement Tests

Pay attention to words like ______ and ________because they indicate that a specific point is being made.

"certain" "particularly"

(A) (x - 2)(x - 3) = x2 - 5x + 6 (B) (x - 2)(x + 3) = x2 + x - 6 (C) (x + 2)(x + 3) = x2 + 5x + 6 (D) (x + 2)(x - 3) = x2 - x - 6

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If fractions have different denominators, a common denominator must be found

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Permutations are like combinations, except permutations take into account the order of the items in each group. In order to calculate the number of permutations of size S taken from N items, you should use this formula: N! ÷ (N - S)! =

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know laws of exponents

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long division of the polynomial: x + 2 x - 3)x2 - x - 6 x2 - 3x _____ 2x - 6 2x - 6 _____ 0

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For questions about x and y intercepts, substitute____________

0 for x and y to solve the problem

To add or subtract two fractions that are written with the same denominator,

simply add or subtract the numerators and then simplify if possible.

Gerunds are words that look like

verbs, but function like nouns. Gerunds are sometimes used in the grammatical subject position of sentences.

Conditional sentences may

express generalizations

clauses always need to be

followed by the name of the person or thing they are describing.

way of expressing exponents. Remember that:

logy = x is always the same as: yx So 54 = 625 is the same as log5(625) = 4

what direction do you mulitply when you mulitply a fraction

multiply straight across

The area of a circle is always:

pie times the radius squared.

Punctuation should be enclosed within the final ___________ when giving dialogue

quotation mark

A job is shared by 4 workers, W, X, Y, and Z. Worker W does 1/4 of the total hours. Worker X does 1/3 of the total hours. Worker Y does 1/6 of the total hours. What fraction represents the remaining hours allocated to person Z?

The sum of the work from all four people must be equal to 100%, simplified to 1. In other words, they make up the total hours by working together: W + X + Y + Z = 1 1/4 + 1/3 + 1/6 + Z = 1 First, find the lowest common denominator of the fractions. Remember that the denominator is the number on the bottom of the fraction. All of the fractions must be converted into the same denominator in order for you to solve the problem: 1/4 + 1/3 + 1/6 + Z = 1 We have 3, 4, and 6 as denominators in this problem. 3 x 4 = 12 2 x 6 = 12 So the lowest common denominator is 12. Now convert the fractions: 1/4 x 3/3 = 3/12 1/3 x 4/4 = 4/12 1/6 x 2/2 = 2/12 Now add the fractions together: 3/12 + 4/12 + 2/12 + Z = 1 9/12 + Z = 1 9/12 - 9/12 + Z = 1 - 9/12 Z = 1 - 3/4 Z = 1/4

in any sentence, you should put a descriptive phrase

directly before of after the person or thing it is describing. Also remember that you may need to use a comma after your phrase.