TSI MATH TEST EXAM 2026 STUDY GUIDE
COMPLETE COLLEGE READINESS
MATHEMATICS CONCEPTS AND PRACTICE
QUESTIONS
◉ 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
COMPLETE COLLEGE READINESS
MATHEMATICS CONCEPTS AND PRACTICE
QUESTIONS
◉ 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
