TSI Math Test Exam COMPREHENSIVE QUESTIONS
AND VERIFIED ANSWERS (2025) ALREADY GRADED
A+
PEMDAS - ...(ANSWERS)....(parenthesis, exponents, multiplication, division,
addition, subtraction) work left to right
Exponential Notation - ...(ANSWERS)....Ex: 6^4, 2^3, 9^10, etc.
Expanded Form - ...(ANSWERS)....Ex: 7x7x7, 6x6, 2x2x2x2x2, etc.
Standard Notation - ...(ANSWERS)....Ex: 5^2= 25; 25 is the standard notation (the
answer or solution)
+x+ - ...(ANSWERS)....=+
+x- - ...(ANSWERS)....=-
-x- - ...(ANSWERS)....=+
Adding or Subtracting fractions - ...(ANSWERS)....You need a common
denominator
Multiplying fractions - ...(ANSWERS)....no special rule, just multiply Ex: 2/5 x 3/9=
6/45
,Dividing fractions - ...(ANSWERS)....flip 2nd fraction and multiply Ex: 2/5 divided
by 3/9= 2/5 x 9/3
Solving Equations w/ fractions - ...(ANSWERS)....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 - ...(ANSWERS)....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 - ...(ANSWERS)....Formula: interest= principal x rate x time (I= PxRxT)
Point - ...(ANSWERS)....-A point has no dimension
-It is represented by a dot
-A point is written using an upper-case letter
Line - ...(ANSWERS)....-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 - ...(ANSWERS)....Points that are on the same line
, Plane - ...(ANSWERS)....-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 - ...(ANSWERS)....Points that lie in the same plane
Line Segment - ...(ANSWERS)....A line segment is named using both end points
with a line above them
Ray - ...(ANSWERS)....A ray is named using its endpoint first and then any other
point on the ray pointing to the right above them
Intersecting lines - ...(ANSWERS)....2 lines that share exactly one point
Parallel lines - ...(ANSWERS)....2 lines that are always the same distance apart and
never touch
Perpendicular lines - ...(ANSWERS)....The relationship between 2 lines which meet
at a right angle (90degrees). Perpendicular lines= 2 lines intersect at a right angle
AND VERIFIED ANSWERS (2025) ALREADY GRADED
A+
PEMDAS - ...(ANSWERS)....(parenthesis, exponents, multiplication, division,
addition, subtraction) work left to right
Exponential Notation - ...(ANSWERS)....Ex: 6^4, 2^3, 9^10, etc.
Expanded Form - ...(ANSWERS)....Ex: 7x7x7, 6x6, 2x2x2x2x2, etc.
Standard Notation - ...(ANSWERS)....Ex: 5^2= 25; 25 is the standard notation (the
answer or solution)
+x+ - ...(ANSWERS)....=+
+x- - ...(ANSWERS)....=-
-x- - ...(ANSWERS)....=+
Adding or Subtracting fractions - ...(ANSWERS)....You need a common
denominator
Multiplying fractions - ...(ANSWERS)....no special rule, just multiply Ex: 2/5 x 3/9=
6/45
,Dividing fractions - ...(ANSWERS)....flip 2nd fraction and multiply Ex: 2/5 divided
by 3/9= 2/5 x 9/3
Solving Equations w/ fractions - ...(ANSWERS)....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 - ...(ANSWERS)....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 - ...(ANSWERS)....Formula: interest= principal x rate x time (I= PxRxT)
Point - ...(ANSWERS)....-A point has no dimension
-It is represented by a dot
-A point is written using an upper-case letter
Line - ...(ANSWERS)....-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 - ...(ANSWERS)....Points that are on the same line
, Plane - ...(ANSWERS)....-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 - ...(ANSWERS)....Points that lie in the same plane
Line Segment - ...(ANSWERS)....A line segment is named using both end points
with a line above them
Ray - ...(ANSWERS)....A ray is named using its endpoint first and then any other
point on the ray pointing to the right above them
Intersecting lines - ...(ANSWERS)....2 lines that share exactly one point
Parallel lines - ...(ANSWERS)....2 lines that are always the same distance apart and
never touch
Perpendicular lines - ...(ANSWERS)....The relationship between 2 lines which meet
at a right angle (90degrees). Perpendicular lines= 2 lines intersect at a right angle
