UVU - MATH 1000 - Study Guide - Midterm

View Full Material##### School: Utah Valley University

##### Department: Applied Mathematics

##### Course: Intermediate Algebra

##### Professor: Chris Christopherson

##### Term: Spring 2019

##### Tags: intermediatealgebra

##### Name: Math 1000

##### Description: This is the Study Guide. A lot of questions but it's going to help. There is also a Key with things that should be noted while taking the midterm. The midterm goes from Chapter 2- Chapter 5.

##### Uploaded: 02/24/2019

**2**Pages

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Unformatted text preview: OBJECTIVES MATH 1000 STUDY GUIDE MIDTERM key sets: collections of objects Set Builder Notation: vanabe such that a condition of xlx is an even #} Real Numbers Natural Numbers - counting {1,2,3,4,5, whole Numbers complex - Adding zero {0, 1,2,3,4,..} Numbers {-3,-2,-1,0,1,2) - Negative Integers Fractions - Rahonal [, #,$, - Irrational En,, -ENT-} imaginary Absolute Value Distance from zero Always Positive Order of Operations steps only applies to Expressions O Parenthesis (Etrouping) 2 Exponents / Boots Multiplication levision (left to right) Addition subtraction (left to right) Expressions Equations - No ue" - Has Ucu - Order of Operation Properches of Equality Goal is to Simplity | Goal is to solve Property of Equality: onny applies to Equations 0 Clear Groupings Distributive property @ Clear Fractions Multiplication Combine like terms Simple addition(subtraction on lath sides separately__(ax +b = cx+d) Addition (Subtraction If there's a vandbe term on both sides, remove one s slate Variable Term Addition (subtraction Isolate Variable DivisionKey continue word problems Increase / Decrease x + a = b Algebra Expression : original price t percent = total price Volume Velwh (length) (width) (height) Volume Area - A (length) (width) Area of A A-(base) (height) = 2 Perimeter Pe length + width + length + width (add all the sides) Inequalities : volume of Sphere greater than Vetera less than V=Tirah greater than or equal to < less Han or equal to Compound Interest A = P( + A = Principal (1 + interest raje intime mumber of times I year Compound Inequalities: elements chared between two sets - Intersection A n B "and" @ Union - all elements from bethor all sets A VB Wor" nt ) cets Show Functions for any given input value, there is only one output value5.8 Solving equun Key continue +0,6) y-intercept " (0,6) Functions Special cases Horizontal Line yol (some Vertical Line (some #) Smation equation equation has no X-value equation has - undefined (a, x-intercept (a,) intercept hint graphing Slope - Interest Form YP-Y yemx H = Vise -m. pun Slope X7-X, Solving Systems Methods to solve o solve by graphing interacting points e Substitution Method --Works for when a variable is isolated 3 Eliminationsvethed - Works when vananes are on one side of both equations types of ontwomes Condition Parallel lines (No Suhitian) lines coincide (Infinide many folutione Exponents : Rule an-4.4.0-9 (Shortut - bu amin-am a = amt a an a-1 (am)" quem disa (a b)" an bon

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