By Jerry Bobrow
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Extra info for Algebra I (Cliffs Quick Review)
Drop the percent sign. 2. Write over one hundred. 3. Reduce if necessary. 29 30 CliffsQuickReview Algebra I Example 25: Change to fractions. (a) 60% = 60⁄100 = 3⁄5 (b) 230% = 230⁄100 = 23⁄10 = 23⁄10 Finding the percent of a number To determine the percent of a number, change the percent to a fraction or decimal (whichever is easier for you) and multiply. Remember, the word of means multiply. Example 26: Find the percents of these numbers. 09 Other applications of percent Turn the question word-for-word into an equation.
4444 . . Because 100n and 10n have the same fractional part, their difference is an integer. 4 90n = 49 28 CliffsQuickReview Algebra I You can solve this equation as follows. 54 = 49 50 Important equivalents that can save you time Memorizing the following can eliminate computations. 50 = 350% Percent A fraction whose denominator is 100 is called a percent. The word percent means hundredths (per hundred). So 37% = 37⁄100 Changing decimals to percents To change decimals to percents, 1. Move the decimal point two places to the right.
X+y=7 x-y=3 x+y=7 x-y=3 2x = 10 2x = 10 2 2 x=5 Now inserting 5 for x in the first equation gives 5+ y = 7 -5 -5 y= 2 Answer: x = 5, y = 2 You should note that this method will not work when the two equations are, in fact, the same. Example 3: Solve for a and b. 3a + 4b = 2 6a + 8b = 4 The second equation is actually the first equation multiplied by 2. In this instance, the system is unsolvable. Example 4: Solve for p and q. 3p + 4q = 9 2p + 2q = 6 Multiply the second equation by 2. (2)2p + (2)2q = (2)6 4p + 4q = 12 Now subtract the equations.
Algebra I (Cliffs Quick Review) by Jerry Bobrow