Addition and Subtraction of Rational Expressions Find the LCD ( Least Common Denominator) Divide the LCD on the denominator and then multiply the quotient on the numerator. Simplify Examples: LCD = 6a LCD = Rational Functions Rational Functions – any function which can be defined by a rational fraction. Domain – makes f(x) defined and real. Examples: Domain: D={x/x ≠ 3} Evaluate the function: and = = or =
Premium Elementary arithmetic Division Number
ADAPTED FAPE LP TEMPLATE |Quarter II: |Topic: |Time Frame: | |ALGEBRAIC EXPRESSIONS‚ FIRST-DEGREE EQUATIONS |FIRST-DEGREE EQUATIONS AND INEQUALITIES IN ONE |25 Days | |AND INEQUALITIES IN ONE VARIABLE |VARIABLE | | |STAGE 1
Premium Problem solving Elementary algebra
calculate the remainder when f(x) is divided by x + 2 [2] ii) solve the equation f(x) = 0 [4] b) The expression 2x³ + ax² + bx – 2 is exactly divisible by x – 1 and x + 2. Calculate the value of a and b‚ and find the third factor of the expression. [6] c) Given that x – p is a factor of the expression x² + (p – 5)x – p² + 7p – 3‚ calculate the possible values of p. [4] 3. June 1988 Paper 2 #1 (16 marks) a) The expression x³ + 2x² + ax + 4 leaves a remainder of 10 when divided by x + 3. Determine
Premium Division Remainder Integer
Skills-Real numbers & Algebraic Equations‚ Exponents & Scientific Notation‚ Radicals & Radical Exponents‚ and Polynomials”. I chose this presentation because I felt I needed to remember algebraic equations‚ exponents and polynomials. I have not had algebra for many years so this presentation was a very good refresher. It reminded me about real numbers and algebraic expressions and square roots. It was good to be reminded about the steps you take in algebra to solve an equation such as: 1. Perform operations
Premium Polynomial Algebra Mathematics
lemonade. Her total sales can be represented by the expression shown. 0.25(35) + 0.25(15) Use the commutative property to write an equivalent expression. View Hide Incorrect The solution is 0.25(15) + 0.25(35). The order in which the products are added does not matter. This is an example of using the commutative property. Solution This is the result of solving an equation to find a value(s) for the variable(s) which make the equation true. Product This is the result after multiplying
Premium Addition Elementary algebra Inequality
COURSE OUTLINE FACULTY OF TECHNOLOGY COURSE NAME: MATHEMATICS FOR INFORMATION AND MECHANICAL TECHNOLOGY COURSE CODE: MATH 1071 CREDIT HOURS: 42 (14 weeks at 3h/week) PREREQUISITES: NONE COREQUISITES: NONE PLAR ELIGIBLE: YES ( X ) NO ( ) EFFECTIVE DATE: SEPTEMBER 2013 PROFESSOR: Tanya Holtzman Ext. 6335 EMAIL: tholtzma@ georgebrown.ca Richard Gruchalla Ext. 6649 EMAIL: rgruchal@georgebrown.ca Shenouda Gad
Premium Quadratic equation Elementary algebra Polynomial
for one variable from one equation into the other equation -To solve a linear system by substitution: Step 1: Solve one of the equations for one variable in terms of the other variable Step 2: Substitute the expression from step 1 into the other equation and solve for the remaining variable Step 3: Substitute back into one of the original equations to find the value of the other variable Step 4: Check your solution by substituting into both original equations‚ or into the statements of
Premium Quadratic equation Triangle Linear equation
01 Algebra 1 Review 01.02 Introduction to Functions 01.03 Module One Quiz 01.04 Graphing Linear Equations and Inequalities 01.05 Writing the Equation of a Line 01.06 Comparing Functions 01.07 Module One Review and Practice Test 01.08 Discussion-Based Assessment 01.09 Module One Test 02.00 Module Two Pretest 02.01 Rational Exponents 02.02 Properties of Rational Exponents 02.03 Solving Radical Equations 02.04 Module Two Quiz – EXEMPTED ITEM‚ Please skip 02.05 Complex Numbers 02.06 Operations of Complex
Premium Elementary algebra Polynomial Quadratic equation
give examples that depict functions-Differentiate a function and a relation-Express functional relationship in terms of symbols y=f(x)-Evaluate a function using the value of x. | Chapter 1Functions and GraphsFunctions and Function Notations | The equation y=f(x) is commonly used to denote functional relationship between two variables x and y. | DefiningDifferentiatingEvaluating | ExpositionDiscussion | Encourage harmonious relationships in their classroom | Board ExercisesSeatworkGroupingsTreasure
Premium Polynomial Law of cosines Real number
nonzero number a is . The product of reciprocals is 1. Examples: Absolutes Values. The absolute value of a real number it’s the distance from zero on the number line. (Distance is always positive.) Example: Algebraic Expressions. A variable is a symbol‚ usually a letter that represents one
Premium Real number Integer Addition