Study Guide for Alg Trig Quarterly Test 2
January 2015
** This study guide should NOT be the only thing you use to study for the quarter 2 exam – this
is to be used in addition to reviewing all class notes, past homework assignments, and previous
assessments (quizzes and tests).
You should begin your review by making quiz and test corrections to the following assessments:
 1.6/1.7 quiz
 2.1/2.2 quiz
 2.1 – 2.4 test
 2.4 – 2.6 quest
Midpoint Formula
Distance Formula
 x1  x2 y1  y2 
,

 see page 50
2 
 2
d  ( x1  x2 )2  ( y1  y2 )2 see page 48
Factoring: See pages 23-30 for patterns. Try odds on p 32
 Greatest Common Factor
 Difference of squares
 Sum and difference of cubes
 Trinomial factoring
Slope
m=
y2  y1
see page 84-85
x2  x1
Library of Functions (see front cover of your book and page 122)
 Linear (y = mx +b)
 Absolute Value (y = |x|)
 Square Root ( y  x )
 Quadratic ( y  ax 2  bx  c )
 Cubic ( y  x3 )
 Shifting Reflecting, and Stretching, see pages 124 – 127, examples 1-5.
Combinations of Functions (pages 131-135)
 Sum, Difference, Product, Quotient
 Composition of Functions: f(g(x)), g(f(x)), ( f g )( x) and ( g f )( x) see page 134 & 135.
Inverse Functions (Pages 141-146)
 Find the inverse of the function Algebraically (page 146)
 State the domain
 Verify inverses
Linear Equations and Problem Solving (pages 160 – 165)
 Identity
 Conditional
 Contradiction
 Extraneous Solutions
 Word problems
Solving Equations Graphically (pages 170-175)
 Using a graphing calculator
 X- and y- intercepts
 Zeros
 Finding points of intersections
Complex Numbers ( pages 180-183)
 Standard form a + bi
 Conjugates
 Adding, subtracting, multiplying, and dividing.
Solving Quadratic Equations Algebraically (pages 186-195)
 Solve by extracting square roots
 Solve by factoring
 Solve by completing the square

Solve by use of the quadratic formula: x 

Applications (word problems)
b  b2  4ac
2a
Solving other types of Equations Algebraically (pages 200 – 206)
 Factoring polynomials
 Equations with Radicals
 Equations with fractions (Rational)
 Equations in quadratic form
 Absolute Value Equations
 Applications (compound interest)
Solving & Graphing Inequalities Algebraically (pages 210 – 218)
 Linear Inequalities
 Absolute Value Inequalities
 Polynomial Inequalities
 Rational Inequalities
 Finding the domain
Problems to practice from the book:
Page 234-236 (1 – 111 and 117 – 140)
Page 154 – 156 (9, 13, 33, 41 – 47 odds, 48, 51 – 59 odds, 71 – 101 odds, 111 – 125 odds)
Page 69 (71 – 89 odds)
Page 54 (33, 35, 55, 57)