Math 154 :: Elementary Algebra

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1 Math 4 :: Elementary Algebra Section 8. Section 8. Section 8. Section 8.4 Section 8. Section 8.6

2 Math 4 :: Elementary Algebra Section 8. Fraction Review. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words x or 4 4 Section 8. Answers

3 Math 4 :: Elementary Algebra Section 8. Simplifying Rational Expressions. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words. 6. This answer should be in your own words. 7. The factoring methods are GCF, grouping, and un-foiling/a-c grouping for a trinomial or difference of squares. 8. a) x b) does not simplify because there are no common FACTORS and all like-terms are combined. x 6 x c) x d) x x e) x 9. a) b) c) x does not simplify because there are no common FACTORS and all like-terms are combined x d) e) 0. x. 4 p. m. x 6 4. y. k 6. a4 a 7. w 8. x 8 9. z6 z 0. m p. 4 p0. a d d n y y6 6. x7 7. x q q8 8. m 9. k 0. z7... 6z7 ad 8 p p mn m7mn Section 8. Answers

4 Math 4 :: Elementary Algebra Section 8. Multiplication and Division of Rational Expressions. This answer should be in your own words.. This answer should be in your own words.. When dividing two rational expressions you may NOT cancel right away.. The factoring methods are GCF, grouping, and un-foiling/a-c grouping for a trinomial or difference of squares. 6. This answer should be in your own words. 7. When all the factors cancel in a multiplication or division problem, the answer is xy a 4.. a 7 z y c d. w n z z. 9 y. 4.. x 6. x 7. a ac c a c 4 6w w m m 9. a 0. a. 9 9 p pq Section 8. Answers

5 Math 4 :: Elementary Algebra Section 8.4 Addition and Subtraction of Rational Expressions. When adding or subtracting two rational expressions, one CANNOT cancel a numerator of one expression with the denominator of the other.. When adding or subtracting two rational expressions, the expressions must have a least common denominator.. When multiplying or dividing two rational expressions, the expressions do NOT need to have a least common denominator.. This answer should be in your own words. 6. When all terms cancel in the numerator of an addition or subtraction problem, the answer is y x 8. x a z. a p9 p. d. c 4. x 8. a y 8 y y6 y a q q 7 k k c c c d 4d m. m.. x y4 0 y 7 4. q. 7 z x 6. x p p k k kk a a aa 7n n n d d d m mm c c c c 4q qq Section 8.4 Answers 4

6 Math 4 :: Elementary Algebra z47 4z z y 0 y0 6y y xxx x 7k k k6k m m6 mmm8 d d d a aa n n6n p4 p p c c c4 z4z x x xxx Section 8.4 Answers

7 Math 4 :: Elementary Algebra Section 8. Rational Equations. This answer should be in your own words.. This answer should be in your own words.. The denominator of a rational expression CANNOT be 0.. This answer should be in your own words. 6. Yes, it is important to check your answers after solving an equation with rational expressions. The explanation should be in your own words. Find the value(s) of the variable for which the expression is undefined, and then write a phrase that gives all values for which the expression is defined. 7. x ; the expression is defined for all real numbers except. 8. p 4 ; the expression is defined for all real numbers except y ; the expression is defined for all real numbers except. 0. m 0 ; the expression is defined for all real numbers except 0.. a and a 9 ; the expression is defined for all real numbers except and 9.. n and n 8; the expression is defined for all real numbers except and 8.. d ; the expression is defined for all real numbers except and. 4. z 0 and z 9 ; the expression is defined for all real numbers except 0 and 9.. c 7 and c ; the expression is defined for all real numbers except 7 and. 6. The expression is defined for all real numbers. 7. x 9 8. y 9. z 0. m. no solution. 0 p. a 4. n or n 7. c 6. no solution; is an extraneous solution 7. k 4 8. y or y 9. no solution; is an extraneous solution 0. m or m 0. z. n 4 ; is an extraneous solution. a or 4. k ; is an extraneous solution Section 8. Answers 6

8 Math 4 :: Elementary Algebra Section 8.6 General Application Problems Involving Rational Equations. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words. 4. To find a distance, multiply rate and time.. To find rate, divide distance by time. 6. To find time, divide distance by rate. 7. This answer should be in your own words and 4 9. The number is either 6 or. 0. width = inches; length = 0 inches.. miles. jet s rate: 0 mph; biplane s rate: 60 mph. 6 mph 4. ran: miles; biked: 6 miles. mph 6. full rate: 8 mph; empty rate: 0mph hour or 6 minutes 8. 6 minutes hours or 6 hours minutes Section 8.6 Answers 7

Fractions. There are several terms that are commonly used when working with fractions.

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