Final Review Sheet for Intermediate Algebra | MATH 1010, Exams of Algebra

Material Type: Exam; Class: Intermediate Algebra; Subject: Mathematics; University: Southern Utah University; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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Math1010Final Reviewpart ı
due monday december 11 by 5pm
Topics
· orderofoperations
· writinginequalitiesusingsetbuildernotation,intervalnotation,andgraphing
· primefactorization
· reducingfractions
· combiningliketerms
· opposite,reciprocal,andabsolutevalueofanumber
· distributiveproperty
· adding,subtracting,multiplying,anddividingfractions
· adding,subtracting,multiplying,anddividingintegers
· solvinglinearinequalities
· applicationsoflinearinequalities
· percent
· solvinglinearinequalities
· solvingequationsinvolvingabsolutevalue
· solvinginequalitiesinvolvingabsolutevalue
· plottingpoints
· graphingusingthepointplotmethod
· findingxandyintercepts
· graphingalineusingintercepts
· graphingalineusingthepointslopeformofaline
· findingslope
· parallelandperpendicularlines
· graphinginequalities
· evaluatingfunctions
· applicationsoffunctions
· adding,subtracting,multiplying,anddividingfunctions
· compositionoffunctions
· solvingsystemsoflinearequations
· applicationsofsystemsoflinearequations
Memorize
· howtofindxandyintercepts
· howtosolveequationsandinequalitiesinvolvingabsolutevalue
·run
rise
xx
yy
m =
-
-
=
12
12
· y=mx+b
· howtofindparallelorperpendicularslopes
· what(f+g)(x) ,(fg)(x), (fg)(x) , )(x
g
f ÷
÷
ø
ö
ç
ç
è
æ,and(f◦g)(x)reallymean
· howtographinequalities
· howtosolvesystemsoflinearequations
pf2

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Download Final Review Sheet for Intermediate Algebra | MATH 1010 and more Exams Algebra in PDF only on Docsity!

Math 1010 Final Review part ı

due monday december 11 by 5pm

Topics ∑ order of operations ∑ writing inequalities using set builder notation, interval notation, and graphing ∑ prime factorization ∑ reducing fractions ∑ combining like terms ∑ opposite, reciprocal, and absolute value of a number ∑ distributive property ∑ adding, subtracting, multiplying, and dividing fractions ∑ adding, subtracting, multiplying, and dividing integers ∑ solving linear inequalities ∑ applications of linear inequalities ∑ percent ∑ solving linear inequalities ∑ solving equations involving absolute value ∑ solving inequalities involving absolute value ∑ plotting points ∑ graphing using the point plot method ∑ finding x and y intercepts ∑ graphing a line using intercepts ∑ graphing a line using the point slope form of a line ∑ finding slope ∑ parallel and perpendicular lines ∑ graphing inequalities ∑ evaluating functions ∑ applications of functions ∑ adding, subtracting, multiplying, and dividing functions ∑ composition of functions ∑ solving systems of linear equations ∑ applications of systems of linear equations

Memorize ∑ how to find x and y intercepts ∑ how to solve equations and inequalities involving absolute value

run

rise x x

y y m =

2 1

2 1

y = mx + b ∑ how to find parallel or perpendicular slopes

∑ what (f + g)(x) , (f g)(x) , (fg)(x) , (^) ( x ) g

f ˜˜ ¯

ÁÁ

Ë

Ê

, and (f◦g)(x) really mean

∑ how to graph inequalities ∑ how to solve systems of linear equations

Final Extra Credit Review Problems part ı

due monday december 11 by 5pm

(15 points)

1.1: 54, 1.2: 6,19,27,55,62, A. Write in interval notation:

B. Write using set builder notation:

C. Graph [1, 3) on the number line. D. Write ( 5,3) using set builder notation. E. Write { x | x < 1 }using interval notation. 1.3: 4,12,23,25,61,74, 1.4: 9,29,38,49,57,70, 2.1: 25, 2.2: 38,39,42, 2.3: 15, 2.4: 12,35, F. What must one be careful of when solving inequalities? 2.5: 12, G. Write how to solve equations and inequalities involving absolute value. 2.6: 6, 3.1: 1,7, H. Give the x and y intercepts of 3x – 4y = 24. Give your answers as ordered pairs. 3.2: 14

I. An equation relating degrees Fahrenheit to degrees Celsius is 32 5

F = C +. Convert 22° C to Fahrenheit

and convert 1° F to Celsius. 3.3: 5,11,38, Fill in the table. Slope of the line Slope of a parallel line Slope of a perpendicular line 3 5 4 1 0 3.4: 3, 3.6: 10,43, 3.7: 10,16,27,30, 4.1: 12, 4.5: 4,