Rational Expressions
Found 11 free book(s)Adding & Subtracting Rational Expressions
www.mcckc.eduThe total process of adding or subtracting rational expressions uses finding the LCD and writing equivalent fractions. The complete list of steps is below. To Add or Subtract Two Rational Expressions with Unlike Denominators 1. Determine the LCD. 2. Rewrite each fraction as an equivalent fraction with the LCD. This
MULTIPLYING & DIVIDING RATIONAL EXPRESSIONS
www.mcckc.eduThe same principles apply when multiplying rational expressions containing variables. Before multiplying, you should first divide out any common factors to both a numerator and a denominator. To Multiply Rational Expressions 1. Factor all numerators and denominators completely. 2. Divide out common factors. 3.
SOLVING RATIONAL EQUATIONS EXAMPLES
www.beaconlearningcenter.comcan also be used with rational equations. Rational equations are equations containing rational expressions. 2. Example: solveÎ 4 x−4 + 3 x = 6. 4 x−4 + 3 x = 6. ) 12(6) 4 3 4 12( + = x− x 3(x – 4) + 4(x) = 72 3x – 12 + 4x = 72 7x = 84 x = 12 The LCD of the fraction is 12. Multiply each side of the equation by 12. The fractions are ...
Multiplying Rational Expressions
cdn.kutasoftware.comMultiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 4720 3267 2) 53 43 ⋅ 46 n2 31 2438 n2 1333 3) 93 21 n ⋅ 34 n 51 n 62 21 n 4) 79 n 25 ⋅ 85 27 n2 1343 135 n 5) 96 38 n ⋅ 25 45 80 57 n 6) 84 3 ⋅ 48 x 95 1344 x 95 7) 6(r + 2) 20 ⋅ 4r 6(r + 2) r 5 8) 7n2(n + 4) (n − 3)(n + 4) ⋅ n ...
10 Math 51 Application problems with rational expressions
www.mtsac.eduApplication Problems with Rational Expressions The applications will involve situations with work rate, variations, water current and speed of wind. Work rate Work rate problems usually involve two people that are trying to help each other finish a single job. Fran can clean the garage in 3 hours, but it takes Angie 4 hours to do the same job.
Exponent and Radical Rules (6.1, 6.2) Day 20
www.lcps.orgRATIONAL EXPONENTS QUESTION: What is the square root of a number? Determine what number fits into the . a. 5 i 5 = 5 is the _____ of 25 b. 10 i 10 = 10 is the _____ of ... Warm Up Simplify the following square root and cube root expressions 1. 2. 3. 4.
Rational Expressions Date Period
cdn.kutasoftware.comRational Expressions Date_____ Period____ State the excluded values for each. 1) 60 x3 12 x 2) 70 v2 100 v 3) m + 7 m2 + 4m − 21 4) n2 + 6n + 5 n + 1 5) 35 x − 35 25 x − 40 6) −n2 + 16 n − 63 n2 − 2n − 35 Simplify each and state the excluded values. 7) p + 4 p2 + 6p + 8 8) 9 15 a − 15 9) 2a2 + 10 a 3a2 + 15 a 10) p2 − 3p − ...
CHAPTER 11: RATIONAL EQUATIONS AND APPLICATIONS …
www.sccollege.edurational equation, the solution(s) is any value(s) except the excluded values. If we obtain a solution that is an excluded value, we call this an extraneous solution. B. SOLVE RATIONAL EQUATIONS BY CLEARING DENOMINATORS WITH THE LCD . Steps for solving rational equations with the same denominator
THE LOGIC OF QUANTIFIED STATEMENTS
storm.cis.fordham.edu“∀ real numbers x, if x is an integer then x is rational” “∀ integers x, x is rational” Both have informal translations “All integers are rational.” In fact, a statement can always be rewritten as by narrowing U to be domain D, where D is the truth set of P(x) (consisting of all values of variable x that make P(x) true).
Write each phrase as an algebraic expression.
www.somerset.k12.ky.usTranslating Expressions Date: _____Period:_____ Write each phrase as an algebraic expression. 1. 12 more than a number 2. The quotient of a number and 9 3. 4 times a number cubed decreased by 7 4. 15 less than a number squared 5. 3 more than 5 times the number of dogs 6. The product of 5 and y added to 3 7.
AS/A Level Mathematics Algebraic Expressions
www.mathsgenie.co.uk1 Simplify (Total for question 1 is 2 marks) (125 x664) 1 3 (2x 1 2)3 4x2 2 Simplify (Total for question 2 is 2 marks) 4 Express 93x + 2 in the form 3y, giving y in the form ax + b, where a and b are constants. (Total for question 4 is 2 marks) 5 Express 82x – 5 in the form 2y, giving y in the form ax + b, where a and b are constants. (Total for question 5 is 2 marks)