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9 Cards in this Set
- Front
- Back
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Can 4 - x / x + 4 be reduced?
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No, Since 4 - x and x + 4 are not only different in the order of x and 4, but also different in the signs, we are not able to change 4 - x into x + 4 or vice versa.
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What are the steps for adding and subtracting fractions with the same denominator?
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1) Keep the same denominator of the original fractions in the final answer.
2) Add or Subtract the numerators. 3) Factor the numerator and denominator and reduce fractions, if possible. |
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What are the steps for addition and subtraction of fractions with different denominators.
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1) Factor the denominators, if possible.
2) Find the L.C.D. 3) Find the equivalent fractions with the L.C.D. as the new denominator. 4) At this point, all the fractions have the same denominator and can be added or subtracted. 5) Factor the numerator, if possible. 6) Reduce the fractions if possible. |
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What are the steps for finding the L.C.D. when adding and subtracting fractions with different denominators?
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1) Factor each denominator if possible
2) If a factor appears in only one denominator, it becomes a part of the L.C.D. If a factor appears in more than one denominator, but has different exponents, then only the factor with the highest exponent becomes a part of the L.C.D. 3) If the denominators contain both numbers and algebraic expressions, then the product of the L.C.D. of the numbers and the algebraic expressions is the L.C.D. of all the fractions. |
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What are the steps for finding the Equivalent Fractions?
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1) Divide the L.C.D. by the original denominator.
2) Multiply the numerator and denominator of the fraction by the answer obtained in step 1. 3) Repeat steps 1 and 2 for each fraction. |
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A "complex fraction" is:
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Any fraction with more than one division bar.
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What are the steps for converting a complex fraction into a simple fraction?
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1) Multiply each term in the numerator and denominator of the complex fraction by the L.C.D. of all the "simple fractions" that appear in the complex fraction.
2) Simplify the resulting polynomials in both the numerator and denominator of the complex fraction. 3) Factor both the resulting numerator and denominator and cancel the common factors, if possible. |
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What is the formula for direct variation?
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y = kx
Where k = the "constant of variation" or "constant of proportionality." If y varies as the square of x then, y = kx² |
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What is the formula for inverse variation?
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y = k/x
Where k = the "constant of variation" or "constant of proportionality." If y varies inversely as the square of x then, y = k/x² |
