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Exam Study Guide
Study Guide Questions
Question | Answer |
---|---|
The number before a variable | coefficient |
the factor in an exponential expression | base |
the number that indicates the number of times that the factor is multiplied in an exponential expression | exponent |
Distribute: -3(x-2) | -3x+6 |
Distribute: 2(3x-5) | 6x-10 |
a base with an exponent of 1 is equal to..... | itself |
A base with an exponent of 0 is equal to ... | 1 |
To change a fraction to a decimal, ____________ the _____________ by the ___________________. | divide the numerator by the denominator |
To change a decimal to a percent, move the decimal _____________ (or __________ by 100). | move the decimal two places to the right or multiply by 100 |
To change a percent to a decimal, move the decimal _______________ (of __________ by 100). | move the decimal two places to the left or divide by 100 |
State the Order of Operations | Parentheses, Exponents, Multiply/Divide, Add/Subtract |
A _________________ number can be expressed as a decimal that repeats or terminates. | Rational Number |
A _________________ number can be expressed as a decimal that does not repeat or does not terminate. | Irrational Number |
The square root of a value times the square root of a value is | the value |
When trying to find a missing leg length on a right triangle, you always have to _______________ when applying the Pythagorean Theorem. | Square them, Subtract them, Take the Square Root |
When trying to find a missing hypotenuse in a right triangle, you always have to _____________ when applying the Pythagorean Theorem. | Square them, Add them, Take the Square Root |
When adding integers, if the signs are the same, you ______________________. | add and keep the sign. |
When adding integers, if the signs are the opposite, you ______________. | Subtract and take the sign of the larger number |
When subtracting integers, first _________________________, then refer to your rules for ___________________ integers. | Add the opposite and follow addition rules |
If you multiply or divide numbers that have the same sign, the answer will be... | positive |
If you multiply or divide numbers that have different signs, the answer will be... | negative |
If you solve an equation where the variables eliminate and you get a true statement, your answer is... | all real numbers |
If you solve an equation where the variables eliminate and you get a false statement, your answer is... | no solution |
In a scatter plot, if most of the data increases from left to right, the correlation is.... | positive |
In a scatter plot, if most of the data decreases from left to right, the correlation is... | negative |
In a scatter plot, if the data doesn't increase or decrease from left to right, the data has... | no correlation |
A line very close to most of the data points in a scatter plot is called... | line of best fit, best fit line, linear regression |
An arrangement of numbers is called a.... | matrix |
Matrices are named... | row x column |
A relation in which each x-value has exactly one y-value is called a ... | function |
Graphs are functions if they pass the... | vertical line test |
Equations are linear if... | all the exponents on the variables are 1 |
Graphs are linear equations if.... | they form lines |
If you subtract the highest value and lowest value in a set of data, you found the... | range |
The number in the middle of a set of data when the values are arranged in either increasing or decreasing order is called... | median |
The average of a set of data once the values are added and then divided by the total number of values is called the... | mean |
The data with the highest frequency is called the.. | mode |
Evaluate: 5^-2 | 1/25 |
Evaluate: 3(4)^2 Do you multiply first or square 4 first? | Square 4, then multiply by 3.. 48 |
Evaluate: -(3)^2 Is the answer -9 or +9 | -9 because the negative is outside the parentheses |