THE Joseph Fitzwater

 Measures speed  Measures accuracy

 In order to get an ACT score of 20, you must get 30/60 questions correct, or just 50%!  In order to get an ACT score of 25, you must get 39/60 questions correct, or just 65%!  In order to get an ACT score of 30, you must get 50/60 questions correct, or just 83%!

 Pre-Algebra (23%)  Elementary Algebra (17%)  Intermediate Algebra (15%)  Coordinate Geometry (15%)  Plane Geometry (23%)  Trigonometry (7%)

 Whole Numbers  Decimals  Fractions  Integers  Place Value  Square Roots  Exponents  Scientific Notation  Factors  Proportion  Percentages  Linear Equations  Absolute Value

 Properties of exponents/square roots  Quadratic equations by factoring  Algebraic expressions

 Quadratic formula  Rational/radical expression  Absolute value equations and inequalities  Sequences  Systems of equations  Quadratic inequalities  Functions  Roots of polynomials  Complex numbers

 Graphing  Relationships between points, lines, polynomials, circles, and other curves  Slope  Parallel, perpendicular lines  Distance  Midpoints

 Angles  Properties of circles, triangles, rectangles, parallelograms, trapezoids  Transformations  Volume

 Trigonometric relations in right triangles  Values of trigonometric functions  Graphing trig functions  Trig identities  Trig equations

 A number without fractions or decimals; an integer  Example: -3,-2,-1,0,1,2,3  Not an Example: 12/5, 3.22

 The set of all whole numbers  Example: -3,-2,-1, 0, 1, 2, 3  Not an Example: 1.612, -2.5, 14/5

 Values between whole numbers that are not represented as fractions  Example: 1.25,  Not an Example: 16/3, 21/5

 A numerical quantity that is not a whole number; expressed with a numerator and a denominator  Example: 12/15, 7/9, 34/3  Not an Example: 1.32,

 1 3,

 The distance a number is from the value 0.  Example: The number 10 is exactly 10 from is also 10 from 0. Therefore, all numbers are a positive amount from 0.

 Example: 3,  3.989*10^3  Example:  4.321*10^-3

 Relationships between quantities that DO NOT have an equal sign.  Example: An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.

 Factors are numbers you can multiply together to get another number  Example: The number 36 has many factors: The Number

 Point: An exact location. It has no size, only position.  Line: A line is straight, has no curves, no thickness, and extends in both directions without end  Plane: A flat surface with no thickness

 Line Segment: A line that is closed on each name. Typically named by the points on it  Ray: A line that is closed at only one end. Like the Sun’s ray A B

 Acute Triangle: Largest triangle measure is less than 90 degrees  Right Triangle: Largest triangle measure is exactly 90 degrees  Obtuse Triangle: Largest triangle measure is greater than 90 degrees

 Equilateral (Each angle is 60 degrees).  Isosceles (2 angles are equal, one angle is typically 90 degrees).  Scalene (No angle measures are the same)

 Angles 1 and 7 and also angles 2 and 8 are known as Alternate Exterior Angles and are equal  Angles 3 and 5 and also angles 1 and 6 are alternate interior angles and are equal  Angles 2 and 4, 1 and 3, 5 and 7, and 8 and 6 are vertical angles and are equal

 In the form (Called Slope-Intercept Form):  Y=mx+b  Where m= Slope and b=Where line crosses the y-axis

 The change in rise (Vertical movement) over run (Horizontal movement)  Slope (m) = (y2-y1)/(x2-x1)  Where, (x1,y1) and (x2,y2) are coordinate pairs

 Used for finding the equation of a line on the coordinate system  y-y1=m(x-x1)  Where (x1,y1) is a coordinate pair and m is slope

 Lines are parallel if they have the SAME slope  Lines are perpendicular if the slopes are the negative reciprocal of each other:  M2 (Second slope)= -1/m1 (M1=first slope)