TSI Math test |156 Exam Questions with Answers
PEMDAS - -(parenthesis, exponents, multiplication, division, addition, subtraction) work
left to right
-Exponential Notation - -Ex: 6^4, 2^3, 9^10, etc.
-Expanded Form - -Ex: 7x7x7, 6x6, 2x2x2x2x2, etc.
-Standard Notation - -Ex: 5^2= 25; 25 is the standard notation (the answer or solution)
-+x+ - -=+
-+x- - -=-
--x- - -=+
-Adding or Subtracting fractions - -You need a common denominator
-Multiplying fractions - -no special rule, just multiply Ex: 2/5 x 3/9= 6/45
-Dividing fractions - -flip 2nd fraction and multiply Ex: 2/5 divided by 3/9= 2/5 x 9/3
-Solving Equations w/ fractions - -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 - -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 - -Formula: interest= principal x rate x time (I= PxRxT)
-Point - --A point has no dimension
-It is represented by a dot
-A point is written using an upper-case letter
-Line - --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 - -Points that are on the same line
-Plane - --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 - -Points that lie in the same plane
-Line Segment - -A line segment is named using both end points with a line above them
-Ray - -A ray is named using its endpoint first and then any other point on the ray pointing
to the right above them
-Intersecting lines - -2 lines that share exactly one point
-Parallel lines - -2 lines that are always the same distance apart and never touch
-Perpendicular lines - -The relationship between 2 lines which meet at a right angle
(90degrees). Perpendicular lines= 2 lines intersect at a right angle
-Right angle - -90 degrees
-Straight angle - -180 degrees
-Acute angle - -between 0 degrees and 90 degrees
-Obtuse angle - -between 90 degrees and 180 degrees
-Complementary angles - -2 angles that have the sum of 90 degrees
-Supplementary angles - -2 angles that have the sum of 180 degrees
-the sum of the angle measures in a triangle - -180 degrees
-Acute triangle - -All angles are acute
-Right triangle - -One angle is right
-Obtuse triangle - -One angle is obtuse
-Scalene triangle - -All sides have different lengths
-Isosceles triangle - -At least 2 sides have the same length
-Equilateral triangle - -All sides have the same length
-The sum of the lengths of a triangle - -The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side
PEMDAS - -(parenthesis, exponents, multiplication, division, addition, subtraction) work
left to right
-Exponential Notation - -Ex: 6^4, 2^3, 9^10, etc.
-Expanded Form - -Ex: 7x7x7, 6x6, 2x2x2x2x2, etc.
-Standard Notation - -Ex: 5^2= 25; 25 is the standard notation (the answer or solution)
-+x+ - -=+
-+x- - -=-
--x- - -=+
-Adding or Subtracting fractions - -You need a common denominator
-Multiplying fractions - -no special rule, just multiply Ex: 2/5 x 3/9= 6/45
-Dividing fractions - -flip 2nd fraction and multiply Ex: 2/5 divided by 3/9= 2/5 x 9/3
-Solving Equations w/ fractions - -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 - -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 - -Formula: interest= principal x rate x time (I= PxRxT)
-Point - --A point has no dimension
-It is represented by a dot
-A point is written using an upper-case letter
-Line - --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 - -Points that are on the same line
-Plane - --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 - -Points that lie in the same plane
-Line Segment - -A line segment is named using both end points with a line above them
-Ray - -A ray is named using its endpoint first and then any other point on the ray pointing
to the right above them
-Intersecting lines - -2 lines that share exactly one point
-Parallel lines - -2 lines that are always the same distance apart and never touch
-Perpendicular lines - -The relationship between 2 lines which meet at a right angle
(90degrees). Perpendicular lines= 2 lines intersect at a right angle
-Right angle - -90 degrees
-Straight angle - -180 degrees
-Acute angle - -between 0 degrees and 90 degrees
-Obtuse angle - -between 90 degrees and 180 degrees
-Complementary angles - -2 angles that have the sum of 90 degrees
-Supplementary angles - -2 angles that have the sum of 180 degrees
-the sum of the angle measures in a triangle - -180 degrees
-Acute triangle - -All angles are acute
-Right triangle - -One angle is right
-Obtuse triangle - -One angle is obtuse
-Scalene triangle - -All sides have different lengths
-Isosceles triangle - -At least 2 sides have the same length
-Equilateral triangle - -All sides have the same length
-The sum of the lengths of a triangle - -The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side
