Elementary algebra

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Mathematical analysis

polynomials

equations

Completing the square

MATH EXAM 1 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM

TEST GUIDE FOR FORMULAS/LITERAL EQUATIONS, INEQUALTIES AND FUNCTIONS

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Graph theory

Geometry of roots of real polynomials

Completing the square

Pseudoforest

equation

Path decomposition

Math 1270 Exam #3 Solve using elimination a. b. c. Solve by substitution Determine whether the given ordered triple is a solution of the given system (7,1,1) Find the equation of the form y= for the parabola shown in the illustration. Points: (1,-2) , (-1,-6), (3,-6) An artist makes three types of ceramic status at a monthly cost of $655 for 180 status. The manufacturing costs for the three types are $5, $4 and $3. If the statues sell for $20, $12 and $9 respectively, how many of each type should be made to produce $ 2,100 in monthly revenue? _________________expensive _________________middle- priced _________________inexpensive

Relations and Functions Final Review

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Analytic geometry

Elementary mathematics

Bresenham's line algorithm

equations

Functions and mappings

Linear equation

Slope

line

Continuous function

Function

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 t (Min) 1 2 3 4 5 6 d (km) 1 2 3 4 5?1?2?3?4?5 x 1 2 3 4 5 ?1 ?2 ?3 ?4 ?5 y Relations and Functions Practice Questions 1. The following distance-time graph represents the distance (in kilometres) a person bicycled during a 50-min period. Describe a possible scenario. 2. The table of values shows the cost of movie tickets at a local theatre. Number of Tickets Cost ($) 1 12 2 24 3 36 4 48 (a) Is this a linear or non-linear relationship? Explain how you know. (b) Assign a variable to represent each quantity in the relation. Which variable is the dependent variable and which is the independent variable?

Math 7 Chapter 2 Review - Algebra

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review

Math 7 ? Assignment #3 Name Chapter 2 ? Algebra Date Write an algebraic expression for each phrase. 1. The sum of nine and a number. 1. 2. The product of six and a number. 2. 3. The difference of a number and twelve. 3. 4. The quotient of a number and four. 4. 5. Seven less than a number. 5. 6. A number increased by 31. 6. 7. Three times the sum of a number and five. 7. 8. Twenty more than the product of ten and a number. 8. 9. Which phrase best describes the algebraic expression 2r? 9. A) half of a number B) the quotient of two and a number C) twice a number D) the sum of two and a number 10. Which phrase best describes the algebraic expression w ? 3? 10. A) One-third of a number B) The difference of three and a number

Formula

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Area

Volume

Surface area

Circle

Right triangle

Formula

| COMMON?MATH?FORMULAS? AREA(A) Square Rectangle Parallelogram Triangle Circle Trapezoid Sphere ? ? ??; ? ? ??; ? ? ??; ? ? 1/2??; ? ? ???; ?? ? ?1/2???1? ? ??2???; ? ? 4??? where s = any side of the square where l = length and w = width where b = base and h = height where b = base and h = height where ?= 3.14 and r = radius where s= Surface area SURFACE AREA (SA)of a: cube SA = 6?? where s = any side cylinder (lateral) ?? ? 2???; where ?=3.14, r = radius, and h = height PERIMETER (P) of a Square ? ? 4?; where s = any side Rectangle ? ? 2? ? 2?; where l = length and w = width Triangle ? ? ?1 ? ?2 ? ?3; where s = a side

Algebra Practice Exam

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equations

Linear

Linear equation

algebra practice exam

GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ SCORE:?____/14 Part?1:?Identifying?slopes?and?y?intercepts Identify?the?slope?and?y?intercept?of?the?given?linear?equations 1.?? [y 2 ?4 2. y ? [? 4 ?2 3.? 0[ 0y 1 ?2 4.? y 3 2 [ ?1 5.? y [ 6.?? ?y 8 9 ?7 Part?2:?Graphing?Linear?Equations Graph?the?following?linear?equations 7.? ? [y 2 ?3 Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 8. [y 2 1 ?4 9.?? ?y [ Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 10.?? ? [y 2 3 ?1 Part?3:?True?or?False Circle?the?letter?T?is?the?statement?is?True?and?circle?the?letter?F?is?the?statement?is

Graphing Linear Equations

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Elementary mathematics

Analytic geometry

Linear

Slope

Linear equation

GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ SCORE:?____/14 Part?1:?Identifying?slopes?and?y?intercepts Identify?the?slope?and?y?intercept?of?the?given?linear?equations 1.?? [y 2 ?4 2. y ? [? 4 ?2 3.? 0[ 0y 1 ?2 4.? y 3 2 [ ?1 5.? y [ 6.?? ?y 8 9 ?7 Part?2:?Graphing?Linear?Equations Graph?the?following?linear?equations 7.? ? [y 2 ?3 Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 8. [y 2 1 ?4 9.?? ?y [ Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 10.?? ? [y 2 3 ?1 Part?3:?True?or?False Circle?the?letter?T?is?the?statement?is?True?and?circle?the?letter?F?is?the?statement?is

Math Algebra

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Matrix

Completing the square

Factorization

Differential equation

CALIFORNIA CONTENT STANDARDS: ALGEBRA I # of Items % Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. N/A N/A Algebra I 65 100% Standard Set 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable: N/A 1.1 Students use properties of numbers to demonstrate whether assertions are true or false. 1/2**

Algebra 1

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Abstract algebra

Elementary arithmetic

Number

Distributive Property