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Math EOG Review
| Question | Answer |
|---|---|
| Perimeter | Distance around a shape or figure. ADD ALL SIDES. |
| Area | Amount of space inside a shape. Units are Squared (cm2) |
| Area of a Circle | A = πr^2 Pi x R(squared) Pi = 3.14 |
| Circumference of a Circle | Distance Around C= 2πr |
| Area of a Square/Rectangle/Parallelogram | A= Bh A = Base x height |
| Area of a Triangle | A= ½ bh or A = bh/2 |
| Area of a Trapezoid | A= (base 1+base 2)h / 2 |
| Surface Area | Total Area of all the faces of a 3D figure. Find the area of EACH face and then ADD. Units are squared (cm2) |
| Volume | Amount of space inside a 3D figure. Units are cubed (cm3) |
| Volume of a Rectangular Prism and a Cube | V= lwh V= Length x width x height |
| Volume of a Rectangular Pyramid | V=lwh/3 or V=(1/3)lwh V= length x width x height / 3 or V= 1/3 x length x width x height |
| Volume of a Triangular Prism | V = lwh/2 or V= (1/2)lwh V= length x width x height /2 or V= 1/2 x length x width x height |
| Pyramid | 3D figure that is tall in height and comes to a point at the top |
| Prism | 3D figure that is long in length |
| Cross Section | The inside of a 3D figure. "Cutting/ Slicing" The cross section will be the same as the base parallel to the cut |
| Net | The pattern of a 3D figure. When you unfold a 3D figure you are left with a net. |
| Finding the area of Irregular figures. | 1. Look for familiar shapes 2. Find the area of those shapes 3. TOTAL AREA: Add all the areas AREA OF SHADED: Subtract |
| Acute Angle | Less than 90 degrees Small and cute |
| Right Angle | 90 degrees Forms a corner Square in the corner |
| Obtuse angle | More than 90 degrees but less than 180 degrees |
| Straight Angle | 180 degrees Straight line/ Half circle |
| Complementary Angles | Two angles that add up to be 90 degrees Forms a Corner Corner/ Complementary start with C |
| Supplementary Angles | Two angles that add up to be 180 Forms a straight Line Supplementary/Straight Line start with S |
| Adjacent Angles | Two angles that are side by side They share a wall Mrs. Parker's Room & Mrs. Wease's Room |
| Vertical Angles | Angles across from each other They are Equal/ Congruent Mrs. Harmon's Room and Mrs. Parker's Room |
| Angles of a Triangle | <1 + <2 + <3 = 180 The three angles of a triangle add up to be 180 degrees |
| Sides of a Triangle | Total of the two small sides should be bigger than the 3rd side. Two small sides (+) > 3rd side |
| Finding the Mean | Average 1. Add all the numbers 2. Divide the total by how many numbers in the data set |
| Finding the Median | Middle 1. Order least to greatest 2. Cross off numbers until you find the middle IF THERE ARE TWO MIDDLE NUMBERS 1. Add the two middle numbers 2. Divide by 2 |
| Finding the Mode | Most The number that shows up the most number of times Ex: 19, 19, 19, 2, 3, 3, 4 The mode is 19 |
| Finding the Range | Difference 1. Order least to greatest 2. Subtract the highest number and the smallest number |
| Outlier | A number that "lies outside the data" Stands out Example: 100, 99, 98, 97,96, 95,94, 1 Outlier is 1 |
| Cluster in a data set | A group of numbers together |
| Gap in a data set | A empty space between numbers |
| Probability | A ratio that compares the number of possible outcomes to the total outcomes. possible/total Example: Probability of rolling a 5 on a dice is 1/6 |
| Finding Total Outcomes | How many total outfits can be made with 2 shirts, 3 pairs of pants, 4 pairs of socks, and 2 shoes? 2 x 3 x 4 x 2 = 48 total outcomes |
| Adding and Subtracting Decimals | Line up the decimal and place value. Add or Subtract like normal Bring the decimal straight down |
| Multiplying Decimals | Do not line up decimals. Multiple like normal Move decimal in the answer the same # of places in the problem |
| Dividing Decimals | No decimal on the outside of house. If there is a decimal on the outside, move to make a whole number Move inside decimal the same number of times |
| Adding & Subtracting Fractions | You must find a common denominator (bottom) Only add or subtract the numerators (top). |
| Multiplying Fractions | Multiply straight across |
| Dividing Fractions | KCF Keep the first fraction the same Change the division to multiplication Flip the second fraction (1/2 = 2/1) Multiply straight across |
| Mixed Number | Fraction with a Whole number 4 1/2 |
| Improper Fraction | Fraction with a bigger number on top |
| Changing a Mixed Number to an Improper Fraction | 1. Multiply the whole number and the denominator 2. Add the numerator. 3. Answer becomes the new numerator and denominator stays the same. Ex: 4 1/2 4 x 2 = 8 + 1 = 9 9/2 |
| Changing an Improper Fraction to a Mixed Number | 1. How many times will the denominator go into the numerator evenly. This becomes the whole number. 2. The remaining becomes the new numerator, denominator stays the same. Ex. 37/6 37/6 = 6 whole times (6x6=36) with 1 left over 6 1/6 |
| Percent | Number out of 100 |
| Changing a Percent to a Decimal | DP Move the decimal TWO times to the LEFT |
| Changing a Decimal to a Percent | DP Move the decimal TWO times to the RIGHT |
| Decimal to a Fraction | Put the number over the last place value and simplify Ex: 0.4 = 4/10 0.42= 42/100 0.423 = 423/100 |
| Fraction to a Decimal | DIVIDE the top by the bottom. |
| Fraction to a Percent | Set up a Proportion 1/2 = x/100 Cross Multiply and divide |
| Equivalent Fractions | Are they Equal? 1. Find Cross Products - butterfly :( 2. Turn into Decimals 3. Simplify (Simplest form must be the same) |
| Percent Proportions | IS x OF 100 Set up a Proportion with is over of = to x over 100 |
| Percent of Change | Amount of Change (subtract) % Original Amount 100 1. Find the change 2. Set up proportion 3. Solve for % |
| Percent Increase | Original Amount goes UP Original :200 New: 500 |
| Percent Decrease | Original Amount goes DOWN Original :200 New: 25 |
| Simple Interest | I = prt Interest= Principle x rate x time Interest = EARNED Principle= Starting Amount Rate = % ( Must make a decimal) Time = ALWAYS in YEARS (5 months = 5/12) |
| Integer | Positive & Negative Numbers |
| Multiplying Same Sign Integers | Same Signs = POSITIVE Positive x Positive = Positive Negative x Negative = Positive |
| Dividing Same Sign Integers | Same Signs = POSITIVE Positive / Positive = Positive Negative / Negative = Positive |
| Multiplying Different Sign Integers | Different Signs = NEGATIVE Positive x Negative = Negative Negative x Positive = Negative |
| Dividing Different Sign Integers | Different Signs = NEGATIVE Positive / Negative = Negative Negative / Positive = Negative |
| Adding Same Sign Integers | Sign Stays the same Positive + Positive = Positive Negative + Negative = Negative |
| Adding Different Sign Integers | 1. Subtract the two numbers 2. Answer will be the same sign as the bigger number |
| Subtracting Integers | KCO Keep the first number the same Change the sign from subtraction to addition Opposite of the second number ( -2 = 2 3 = -3) Then follow the rules for Adding |
| Finding Tax or Tip | 1. Percent to decimal 2. Multiply (Decimal & Cost) 3. Add (tax/tip and cost) Equation: Amount(1.00 + percent as decimal) = Total with tax/tip |
| Finding Discount | 1. Percent to decimal 2. Multiply (Decimal & Cost) 3. Subtract (Cost & Savings) Equation: Amount(1.00 - percent as decimal) = Total with discount |
| Solving Two Set Equations | UNDO what is being done to the Variable Whatever you do to one side you have to do the SAME to the other side. MAKE A T- CHART Multiplication and Division undo each other Adding and Subtracting undo each other *** Always +/- first |
| Distributive Property | A(b+c) = A(b) + A(c) The outside number must be multiplied by ALL the numbers inside the Parenthesis. |
| Order of Operations | Please Parenthesis () Always go left to right Excuse Exponents My Mulitplication Dear Division Aunt Addition Sally Subtraction |
| Solving Inequalitites | 2x + 1 > 12 SOLVE JUST LIKE EQUATION Make T-Chart, Undo (start with +/-) REMEMBER: If you Multiply or Divide by a negative number you have to FLIP SYMBOL |
| Graphing Inequalities with symbols < or > | Open Circle |
| Graphing Inequalities with symbols ≤ or ≥ | Closed Circle |
| Graphing Inequalities | Mouth open to variable x > 1: Shade Right Mouth open to number x < 1: Shade Left |
| Adding Opposites | ALWAYS EQUAL 0 Example -2 and 2 -2 + 2 = 0 |
| Unit Rate | Always has a denominator of 1. (per, each, every) Example: If 5 notebooks are $20 the unit rate is how much 1 notebook costs. $20/5 = $4 per notebook. REMEMBER: $$ on top |
| Finding the Better Buy | Find the unit rate for each option. Unit rate = denominator of 1. Which ever has the smallest unit rate is the better buy Ex: 5 shirts for $20 or 6 shirts for $36 $20/5 = $4/1 $36/6 = $6/1 BETTER BUY |
| Constant of Proportionality | Unit Rate must be the same/constant for all the data When given a table, graph, or points (x,y); find the COP by dividing y and x. (y/x) |
| Combining Like Terms | Like terms have the same variable. Ex: 2x and 3x When combining like terms only add/subtract the numbers 2x + 3x = 5x A variable without a number (x) = 1x |
| Factoring Expressions | Backwards Distributive Property 1. Find the GCF - Greatest Common Factor 2. GCF goes outside the Parenthesis Ex: 2x + 6 GCF is 2 2(?)= 2x and 2(?)=6 Answer: 2(x + 3) |
| Equilateral Triangle | All sides and all angles are equal |
| Isosceles Triangle | Two equal Sides and Two equal Angles |
| Scalene Triangle | No equal sides and No equal Angles |
| Volume for a Triangular Pyramid | V = 1/6 LWH or V = LWH/6 |
Created by:
kendra.parker
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