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ACT MATH REVIEW
1) What is a ratio?______________________________________________________________
2) A fraction is a _______________________problem.
3) What is the formula for the area of a trapezoid?
_____________________________________________________________________________
4) For arithmetic sequences, find the common _______________________________________
5) For geometric sequences, find the common________________________________________
6) What is distance in relation to speed (rate) and time? ________________________________
7) What is the relationship between radii and tangent lines to a circle?
_____________________________________________________________________________
8a) Pi is a ratio between what two measurements of a circle?
_____________________________________________________________________________
8b) What is the formula for the area of a circle?_______________________________________
9a) The legs of a right triangle are 3 and 4, what is the hypotenuse? ____________________
9b) What if the legs were 5 and 12?________________________________________________
10) All composite numbers can be expressed as a product of ________________numbers.
11) What is the difference between rational and irrational numbers?______________________
____________________________________________________________________________
12) Square roots of prime numbers are rational or irrational?____________________________
13) What is the result when any number is raised to the 0 power?_________________________
14) Straight lines are produced from algebraic equations with up to three variables when the
variables are raised to the power of ___________ or _____________.
15) What do the “m” and the “b” stand for in the equation y=mx + b? ____________________
_____________________________________________________________________________
16) To find LCM (lowest common multiple) using prime factorization, multiply each unique
factor to the ____________ degree. To find the GCF (greatest common factor), multiply
common factors to the __________ degree common.
17) If y=Kx or y/x=K, then this is a(n) _____________variation. K is some constant.
18) If y=K/x or yx=K, then this is a(n)________________variation. K is some constant.
19) What does SOHCAHTOA stand for?____________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
20) Slope is a ratio between the _______________direction or _____variable and the
_____________________direction or _________variable.
21) If two points on a line in a plane are (2,8) and (-7, -3), what is the slope? _______________
22) In a 30, 60, 90 right triangle, if the side opposite the 30 degree is 2, what is the
hypotenuse?__________________________. What is the side opposite the 60 degree
angle?__________________.
23) In a 45, 45, 90 right triangle, if the hypotenuse is 4, what are the legs?__________________
24) State the average formula_____________________________________________________
25) Probabilities are always values between ________ and __________ because ______is the
probability that something will never happen and ________is the probability that some
phenomenon will always happen.
26) State the Pythagorean Theorem________________________________________________.
27) If two lines are both perpendicular to a third line, what relationship exists between the two
lines?_______________________________________________________________________.
28) In an isosceles or equilateral triangle, what does the altitude from one base do to both the
vertex angle and the base?________________________________________________________
29) If you only know the distance and average speed for a journey, how do you find the time for
such a journey?________________________________________________________________
30) The longest side of a triangle is always opposite the __________________angle.
31) If you have four horses and seven riders, how many different horse/rider pairs can be
formed?______________________________________________________________________
32) What is the formula for the circumference of a circle?______________________________
33a) The angles of a triangle determine its _____________________, while the sides determine
its__________________________.
33b) Similar triangles are equal in _____________________________________.
33c) If two corresponding angles are equal in two different triangles, then the two triangles are
at least ______________________________.
34a) How do you find the x-intercept for non-horizontal straight lines?___________________
34b) How do you find the y-intercepts for non-vertical straight lines?____________________
35a) What is true about the slopes of parallel lines? ________________________
35b) What is true about slopes of perpendicular lines?_________________________________
36) The intersection point of two straight lines in a plane is the _________________in a
systems of equations problem.
37) A team won 18 of its 30 games, with no ties. What fraction of the 30 games did it lose?
38) State the distance formula ____________________________________________________
39) State the mid-point formula___________________________________________________
40) What degree measure is formed when an angle is inscribed in a semicircle?_____________
41) When solving for a variable in an inequalities problem, if you multiply or divide by a
negative number, what do you need to do to the inequality sign?_________________________.
42) If an angle is created from a straight line, what do the two angles add up to?_____________
43) Percents break anything into ______________________parts.
44) Reciprocals are two numbers when multiplied equal _____________________.
45) The set of inputs into a function is called the _____________and the set of outputs is called
the __________________.
46) State the zero product property_________________________________________________
47) i equals the square root of ____________. i squared equals_____________________
48) The diagonals of a squares and rhombi are ____________________________________.