TSI MATH TEST FINAL PAPER 2026 EXAM
Q&A STUDY GUIDE WITH ACCURATE
ANSWERS
⫸ 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
Q&A STUDY GUIDE WITH ACCURATE
ANSWERS
⫸ 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
