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 ______.