Adding & Subtracting Rational Expressions

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 is done by multiplying both the numerator and denominator of each fraction by any factors needed to obtain the LCD. 3. Add or subtract the numerators white maintaining the LCD . 4.

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,56 7D[ 7UDQVFULSW 2QOLQH 5HTXHVW

,56 7d[ 7udqvfulsw 3dshu 5htxhvw ,56 )rup 7 (= vkrxog eh xvhg lqvwhdg ri ,56 )rup 7 ehfdxvh lw lv vxiilflhqw wr uhtxhvw dq ,56 7d[ 5hwxuq 7udqvfulsw

The Associate in Science Degree - mcckc.edu

The Associate in Science Degree . The Associate in Science – Preprofessional Studies – Health Emphasis degree is designed for students who intend to

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Basic Geometric Terms - Metropolitan Community …

Basic Geometric Terms Definition Example Point – an exact location in space. A point has no dimension. (read “point A”) Line – a collection of points along a straight path

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EXPONENT RULES & PRACTICE

EXPONENT RULES & PRACTICE 1. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. Examples: A. B.

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Logarithms and their Properties plus Practice

LOGARITHMS AND THEIR PROPERTIES Definition of a logarithm: If and is a constant , then if and only if . In the equation is referred to as the logarithm, is the base , and is the argument.

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Solving Quadratic Equations - Metropolitan Community …

solving quadratic equations A quadratic equation in is an equation that may be written in the standard quadratic form if . There are four different methods used to

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Solving Absolute Value Equations and Inequalities

1 Absolute Value Equations and Inequalities Absolute Value Definition - The absolute value of x, is defined as…, ≥0 −, <0 where x is called the “argument” Steps for Solving Linear Absolute Value Equations : i.e. + =

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Factoring Practice - Metropolitan Community College

Factoring Practice Key I. Greatest Common Factor 1. 6 2. 5 3. 2 4. 8 5. 7 6. 9 7. 15 8. 24 II. Greatest Common Monomial Factor 1. % & 2.

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Solving Literal Equations Methods

Solving Literal Equations Methods Definition: A literal equation is, simply put, an equation that has a lot of letters or variables. For example,

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Adding & Subtracting Rational Expressions

The 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

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SOLVING RATIONAL EQUATIONS EXAMPLES

can 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 ...

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Multiplying Rational Expressions

Multiplying 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 ...

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10 Math 51 Application problems with rational expressions

Application 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.

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Exponent and Radical Rules (6.1, 6.2) Day 20

RATIONAL 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.

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Rational Expressions Date Period

Rational 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 − ...

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CHAPTER 11: RATIONAL EQUATIONS AND APPLICATIONS …

rational 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

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THE LOGIC OF QUANTIFIED STATEMENTS

“∀ 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).

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Write each phrase as an algebraic expression.

Translating 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.

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AS/A Level Mathematics Algebraic Expressions

1 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)

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