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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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 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

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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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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Maxima by Example: Ch.4: Solving Equations

4 Solving Equations Maxima has several functions which can be used for solving sets of algebraic equations and for nding the roots of an expression. These are described in the Maxima manual, Sec. 21, and listed under Contents under ... exprmay be a rational expression, and may contain trigonometric functions, exponentials, etc.

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CHAPTER 11: RATIONAL EQUATIONS AND APPLICATIONS …

Steps for solving rational equations with the same denominator Step 1. Determine the excluded values of the equation. Step 2. Clear denominators . by multiplying each term by the lowest common denominator. Step 3. Solve the equation. Step 4. Verify that the solutions obtained are not an excluded value.

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Analyzing and Solving Polynomial Equations

Kuta Software - Infinite Algebra 2 Name_____ Analyzing and Solving Polynomial Equations Date_____ Period____ State the number of complex roots, the possible number of real and imaginary roots, the possible number of positive and negative roots, and the possible rational roots for each equation. Then find all

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Lesson 6.2.4 Multi-Step Equations With Distributive Property

Solving Multi-Step Equations CC Standards 7.EE.B.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with

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SOLVING RATIONAL EQUATIONS EXAMPLES

1. Recall that you can solve equations containing fractions by using the least common denominator of all the fractions in the equation. Multiplying each side of the equation by the common denominator eliminates the fractions. This method can also be used with rational equations. Rational equations are equations containing rational expressions. 2.

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Solving Linear Equations - Fractions

Solving Linear Equations - Fractions Objective: Solve linear equations with rational coefficients by multi-plying by the least common denominator to clear the fractions. Often when solving linear equations we will need to work with an equation with fraction coefficients. We can solve these problems as we have in the past.

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Solving Rational Equations - Los Angeles Valley College

Solving Rational Equations Solve each equation. Remember to check for extraneous solutions. 1) a + 1 5a − 1 a = 1 2) 6v − 6 v2 + 2 v2 = 1 v2 3) 1 n2 + 4 n = 3 n2 4) 4 x + 1 x2 = 1 5x2 5) 1 k2 = 1 3k2 + k + 5 3k2 6) x − 5 x2 + 1 x = 6 x 7) 6 k − 1 k2 + 6k = 1 k 8) 4 n + 1 + 1 n2 − 5n − 6 = 1 n − 6 9) 1 x + 5 − 1 x2 + 5x = 4 x2 ...

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Solving Rational Equations - cdn.kutasoftware.com

Solving Rational Equations Date_____ Period____ Solve each equation. Remember to check for extraneous solutions. 1) 1 6 k2 = 1 3k2 − 1 k 2) 1 n2 + 1 n = 1 2n2 3) 1 6b2 + 1 6b = 1 b2 4) b + 6 4b2 + 3 2b2 = b + 4 2b2 5) 1 x = 6 5x + 1 6) 1 6x2 = 1 2x + 7 6x2 7) 1 v + 3v + 12 v2 − 5v = 7v − 56 v2 − 5v 8) 1 m2 − m + 1 m = 5 m2 − m 9) 1 ...

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2.3 Solving Equations Containing Fractions and Decimals

Solving Equations Containing Fractions and Decimals page 2.3- The Multiplication Property of Equality We may multiply any non-zero number, c, to each side of an equation. If a = b, then c · a = c · b, c ≠ 0 Applying the Multiplication Property of Equality to an equation such as

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