FC: The ACT Book AnnaMichelle Moore, September 24, 2012, 1st
1: Table Of Contents: | Page 2: Use the Answers Page 4: Super Easy Algebra Page 6: Solve for Y Page 8: Mean means Average Page 10: Angles Page 12: Parallel Lines Page 14: Triangles Page 16: FOIL Page 18: Math Vocab Page 20: More Math Vocab Page 22: Multiples Vocab Page 24: Fancy Graphing Vocab Page 26: Slaloming Slope 1 Page 28: Slaloming Slope 2 Page 30: Using Charts and Graphs
2: Use the Answers | When you see variables or unknowns in the question and numbers in the answer choices, "Use the Answers." Convert Fractions, pi, or square root to decimals
4: Super Easy Algebra | When you see "then x= ?" complete the algebra or just "Use the Answers."
6: Solve for Y | "what is y in terms of x and z" is just a fancy way of saying "solve for y" or "use algebra to get y alone."
8: "Mean" means Average | When you see the word "mean" or "average" on the ACT, use Average= sum/number of items
10: Angles | When you see vertical angles, a linear pair, or a triangle, calculate the measures of all angles Vertical angles are equal. Angles in a linear pair add up to 180. The angles in a triangle add up to 180. The angles in a 4 sided shape add up to 360. The angles in a 5 sided shape is 540. The angles in a 6 sided shape is 720.
12: Parallel Lines | When you see two parallel lines that are crossed by another line, eight angles are formed, and all the bigger-looking angles are equal, and all the smaller-looking angles are equal.
14: Triangles | When you see a triangle with two equal sides, mark the two opposite angles as equal, and when all sides of a triangle
16: FOIL | When you see an expression like (2x-5)(5x-4), multiple the first number and letter into the second parenthesis, multiply the second number and letter into the second parenthesis, and then collect matching terms.
18: Math Vocab | Anytime you see a math vocab term, underline it. Real number- this is just there to confuse you, it means any number. Constant term- a letter in place of a number, somewhat like a variable but it doesn't vary. Integer- Numbers without decimals or fractions. Even/Odd- Even numbers: 2,4,6,8,10, etc. Odd numbers: 1,3,5,7,9, etc. Number 0 is considered even. Positive/negative- positive numbers are greater than 0 and negative numbers are less than 0. Consecutive numbers- numbers in a row. 1,2,3,4 Different numbers- Numbers that aren't the same Prime- a number whose factors are only 1 and itself. Units digit- just a fancy term for the "ones" digit in a number, like 2 in 672.
20: More Math Vocab | Don't be intimidated by fancy vocabulary terms. Factors- number that divide into a number evenly. Example: The factors of 50 are 1, 2, 5, 10, 25, 50. Greatest common factor- the largest factor shared by several given numbers. Example: The greatest common factor of 48 and 32 is 16. Prime Factors- The factors of a number that are also prime numbers. prime factors of 50 are 1, 2, and 5.
22: Multiples Vocab | To find the "least common multiple" or "lowest common denominator", "Use the Answers!" Multiples- All the numbers that are divisible by a certain number. Example: Multiples of 2 are 2, 4, 8, 16, 32, 64, etc.. Least common multiple: The lowest number that is a multiple of several numbers. Trick to solving these is just using the Answers. Divide the numbers given by the answer choices.
24: Fancy Graphing Vocab | Don't be intimidated by fancy graphing terms! Standard (x,y) coordinate plane- a fancy term for the normal grid that you graph lines on. Cartesian plane- another fancy term for the normal grid you graph lines on. Ordered pair- A fancy term for a pair (x,y) coordinates in a normal grid. x intercept/ y intercept- the value where a graph crosses the x axis or y axis. Defined/undefined- undefined violates math rules, by containing a zero at the bottom of a fraction or a negative in a square root.
26: Slaloming Slope 1 | To find the slope or "rate of change" of a line, use Slope= y1-y2 divided by x1-x2.
28: Slaloming Slope 2 | An equation of a line in the form y=mx+b is called slope-intercept form, where m represents the slope of the line. Parallel lines have equal slopes, like 2/3 and 2/3. Perpendicular lines have negative reciprocal slopes, like 2/3 and -3/2.
30: Using Charts and Graphs | The key to charts and graphs is to read the intro material and the "note" if there is one, and to expect an average, percent, and/or probability question about the data