TSI Math Test Preparation Guide - Complete Solutions Updated

TSI Math Test Preparation Guide - Complete Solutions Updated PEMDAS - answer - (parenthesis, exponents, multiplication, division, addition, subtraction) work left to right Exponential Notation - answer - Ex: 6^4, 2^3, 9^10, etc. Expanded Form - answer - Ex: 7x7x7, 6x6, 2x2x2x2x2, etc. Standard Notation - answer - Ex: 5^2= 25; 25 is the standard notation (the answer or solution) +x+ - answer - =+ +x- - answer - =- -x- - answer - =+ Adding or Subtracting fractions - answer - You need a common denominator Multiplying fractions - answer - no special rule, just multiply Ex: 2/5 x 3/9= 6/45 Dividing fractions - answer - flip 2nd fraction and multiply Ex: 2/5 divided by 3/9= 2/5 x 9/3 Solving Equations w/ fractions - answer - either multiply both sides of the equation by the reciprocal of the fraction, or multiply both sides of the equation by the denominator of the fraction Percent Increase or Decrease problems - answer - Formula: amount of change/ original number. Ex: Find the percent decrease if the price changes from $60 to $39. 60-39= 21. amount of change= $21 original number= $60. $21/$60= 0.35. Convert to percents. 0.35= 35% Interest - answer - Formula: interest= principal x rate x time (I= PxRxT) Point - answer - -A point has no dimension -It is represented by a dot -A point is written using an upper-case letter Line - answer - -A line has one dimension -Named using any two point on a line w a two sided arrow above them -It can also be named using a lower-case cursive letter Collinear Points - answer - Points that are on the same line Plane - answer - -A plane has two dimensions -It is represented by a shape that looks like a floor or a wall, but it extends w/o an end -Through any three points not on the same line there is exactly one plane -A plane is written using 3 non-collinear points or with upper-case cursive letter Coplanar points - answer - Points that lie in the same plane Line Segment - answer - A line segment is named using both end points with a line above them Ray - answer - A ray is named using its endpoint first and then any other point on the ray pointing to the right above them Intersecting lines - answer - 2 lines that share exactly one point Parallel lines - answer - 2 lines that are always the same distance apart and never touch Perpendicular lines - answer - The relationship between 2 lines which meet at a right angle (90degrees). Perpendicular lines= 2 lines intersect at a right angle Right angle - answer - 90 degrees Straight angle - answer - 180 degrees Acute angle - answer - between 0 degrees and 90 degrees Obtuse angle - answer - between 90 degrees and 180 degrees Complementary angles - answer - 2 angles that have the sum of 90 degrees Supplementary angles - answer - 2 angles that have the sum of 180 degrees the sum of the angle measures in a triangle - answer - 180 degrees Acute triangle - answer - All angles are acute Right triangle - answer - One angle is right Obtuse triangle - answer - One angle is obtuse Scalene triangle - answer - All sides have different lengths Isosceles triangle - answer - At least 2 sides have the same length Equilateral triangle - answer - All sides have the same length The sum of the lengths of a triangle - answer - The sum of the lengths of any two sides of a triangle must be greater than the length of the third side Polygon - answer - A polygon is a closed figure whose sides are line segments that do not cross Regular Polygon - answer - A regular polygon is a polygon where all of the sides have equal lengths and all of the angles have equal measures Trapezoid - answer - One pair of opposite sides are parallel Parallelogram - answer - Both pairs of opposite sides parallel Rhombus - answer - All sides congruent Rectangle - answer - 4 right angles Square - answer - All sides congruent and 4 right angles Circle - answer - The set of all points in a plane that are a a given distance from a given pint, the center Radius - answer