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EXL PREP MATH
| Question | Answer |
|---|---|
| formula for circumference of a circle | C = 2πr |
| formula for slope point form | ( y - y1 = m ( x - x1 ) |
| finding intercepts (x and y) | Set X = 0 finds y-intercept Set Y = 0 finds x-intercept |
| slope formula that is used for both FINDING the slope and finding points FROM just slope. | m= y1-y2 / x1-x2 |
| formula for surface area of a cylinder | A=2πrh+2πr2 |
| formula for midpoint | mean of ( x1+x2 , y1+y2 ) in coordinate form. |
| Calculating precentage | amount / total x 100 |
| scientific notation | move the decimal place according to how many times the exponent tells you! |
| exponent rules: raising an already exponential expression to different power. | you multiply those two exponents together. |
| 0th power | the number is transformed to 1. |
| exponent rules: division | subtract the exponents from each other. |
| exponent rules: (A x B) raised to another power | you raise both numbers to exponential expressions and then multiply. |
| standard form | Ax + By = C |
| distance between two points on a graph formula | make a slope triangle and find the hypotenuse! |
| formula for volume of a cone | (B x H) 1/3 |
| formula for volume of a cylinder | Circle Base x Height |
| formula for volume of a pyramid | (B x H) 1/3 |
| surface area of a pyramid | areas of all the sides added together |
| circumferance is............. | outer edge length |
| inequalities | it functions just like a linear equation, but multiplying or dividing by a negative number switches the direction of the sign. |
| when dealing with transformations, remember... | wherever the point is transferred, pay attention to the signs, because they tell you what quadrant you're in. |
| what is congruent? | same size and shape |
| tips for math word problem effectiveness | CUBES (Circle numbers, Underline question, Box keywords, Eliminate extra info, Solve) |
| Gallons are......... (remember MR GALLON) | 4 quarts, 8 pints, 16, cups, and 128 fluid ounces. |
| Liters are...... | 10 deciliters, 100 centiliters, 1000 milliliters (ml) |
| True or False, BACKSOLVING is the best thing to do for harder equations | TRUE!!!!!!! |
| fractional complex word problems... remember...... | simplify before solving |
| effectiveness is.......................... | trying my best on this test!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
| volume for a sphere | V=4 /3 πr3 |
| finding triangular PROBABLE side lengths | the side lengths must be proportionate to the picture / Pythagorean theorem |
| repeating decimals in fraction form (algabreic) | 1. x= repeating decimal 2. 100x - 10x 3. result of 100x-10x divided by decimal - decimal |
| Mononominals | a polynominal with only 1 term Term= part of an equation, often accompanied by a variable like x and an exponent |
| Binominal | a polynomial with 2 terms |
| Trinominal | a polynomial with 3 terms |
| standard form for polynominals | the first term is a coefficient paired with a variable and a power. ex: 5x (to the 5th) |
| Converting quantities | Given Distance (d) Goal distance in larger unit (D) goal time ----------------------- X -------------------------------------- X ------------ Given Time (t) Goal distance in given units= D large time |
| Inequalities OR | solving both equations and finding an answer that matches both but is only one number / expression (ex : H is greater than 5) |
| inequalities AND | use substitution, and then find an answer that works for both. |
| Inequalities with NO SOLUTION | after solving with substitution, you end up with false statements like 1 is greater than 3. |
| Inequalities with IMS | solving the equation gives a true expression that leads to BOTH x And y cancelling out. |
| Graphing INEQUALITIES | the highest point that you can start with (y-intercept) starts with x = 1 then you take that point and use the slope of the line to graph. then you look at the inequality and shade in one side of the line depending on what the sign says. |
| Graphing INEQUALITIES line conditions with different signs | less than or equal to symbol = solid line less than symbol = dotted line |
| rate of change under a condition of [ x, y ] | Change in function value, F(x) ------------------------------------- (this equation is the value of x) x value AND THEN YOU NEED TO USE THE CONDITIONAL VALUES OF [x,y] TO input Y and SOLVE AS A FRACTION!!!!!!! |
| rate of change for POLYNOMINALS under a condition like (x,y) | 1. solve the equation for each variable. 2. take the two solutions, find how different they are as a number 3. take that final number and divide it by the difference between the x and y values. |
| Domain of functions | least to greatest x value and all in between |
| Range of functions | least to greatest y-value |
| simplfying functions to formulas for f(x) | solve for the variable in parenthesis next to f. |
| functions and algabreic sequences with more than two variables in the expression after f(x)=___________ | input the # of the sequence place that you need to find, and then solve. this should otput an expression that still has a variable. you create an order of equations until you reach f(1)= and then solve with that value of F(1) to solve the equation. |
| functions and algabreic sequences with only ONE variable after f(x)=________ | input the # value you are trying to find of the sequence as that variable and solve for F( # ) |
| Writing sequence rules from a list of numbers | 1. the first number in the sequence is always F(1) 2. the amount of change between the numbers in sequence is what goes after F(x)=(x-1) 3. Completed version F(1)= 9 F(x)=(x-1)+9 |
| Arithmetic sequences, writing explicit formulas | 1. Take the first number of the sequence and subtract it by the rate of change between the numbers in the sequence 2. add (n-1) behind it and F(n) in front of it. |
| Geometric sequences: writing excplicit formulas | (first # of the sequence) X ( rate of change) power of (n-1) |
| Factoring expressions | 1.simplify expression until arriving at a manageable expression. 2. find the greatest common factor, which can be an exponent 3. GCF goes first, then rest of expression. |
| Factoring Polynominals | |
| Factoring QUADRATICS and POLYNMINALS | 1. x squared + 5x + 9, 5x = a+b, 9 = ab. 2. GCF ( x + a) (x + b) |
| Factoring COMPLETELY | GCF ( values / GCF) (values / GCF) |
Created by:
26jcaudill