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Material Type: Exam; Class: Intermediate Algebra; Subject: Mathematics; University: Southern Utah University; Term: Unknown 1989;
Typology: Exams
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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 ˜˜ ¯
, and (f◦g)(x) really mean
∑ how to graph inequalities ∑ how to solve systems of linear equations
(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,