___16. Which of the following is the rational expression? A. 24x B. x + y C. c=y D. x/y ___17. What do you call to the set of all values that are allowed or make the rational expression? meaningful? A. Domain B. Range C. Value D. Monomial ___18. What is the shortcut method of dividing numerator and denominator by the common factor? A. Reciprocal C. Cancellation B. Multiplication D. Difference ___19. What do you call to the value that not included in domain? A. Roots C. Range B. Factors D. Restricted Value ___20. What is the first step on determining the domain of rational expression? A. Find the LCD C. Add both side B. Equate denominator to zero D. Get the reciproca II. Match column A to column B. Write your answer on space provided. COLUMN A COLUMN B 2 ______ 1. (x + 3) A. y2 +10y+25 ______ 2. (y + 5)2 B. x2 – 12xy + 36y2 ______ 3. (x – 15)2 C. x2 + 8xy + 16y2 ______ 4. (x – 6y)2 D. x2 + 6x + 9 ______ 5. (x + 4y)2 E. x2 – 30x + 225 III. Factor each trinomial. 1. x 2 + 8x + 15 = ______________ 2 2. x + 5x + 6 = ______________ 3. y 2 + 8y + 12 = ______________ 2 4. a – 7a + 18 = ______________ 5. x 2 + 6x + 9 = ______________ IV. Determine the restricted value. Rational expression Restricted Value x−4 1. 2 x −25 x+ y 2. 2 x −100 2 x −4 3. 2 x −5 x y +2 4. 2 x−3 10 x 5. 10 x −1 V.Write the rational expression for each of the following: 1. Twice the x, divided by the square of x. ____________ 2. Thrice the x, divided by the sum of x and 1. ____________ 3. A fraction whose denominator is 8 less than the numerator x ____________ 4. The ratio of 5x and 8x. ____________
5. The number of meters in 50 centimeters. ____________ VI.Simplify the following rational expressions. 1. 2 x +4 2−x x ( x +3 ) 2. 2 = __________ 4. 2 = __________ 6. = __________ x +5 x +6 x −4 x ( x +5 ) 2 x −9 x−1 4 xy 3. 2 = __________ 5. 2 =__________ x +2 x−8 6y VII.Express the following rational expression. 3 4x 1 5 1. − = __________ 4. + = __________ x−2 x−2 4 x 6 x y2 2 35 x x 5 2. + = __________ 5. − 2 = __________ x−2 x−2 2 4 x 6x y 5x 4x 3. − = __________ x−2 x +2