Vocabulary for the final exam
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each of the black spaces below before clicking
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| Quadratic Formula | A formula for solving a quadratic equation
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| absolute value | The _______ of a number is the number itself or the opposite of the number, whichever is positive (or zero)
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| Square property of equality | If two positive numbers are equal, then their positive square roots are equal.
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| Square root of a perfect square | To solve the _____________ solve the operation below the vinculum first.
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| Discriminant | The expression (b squared) - 4ac which appears in the quadratic formula is called a _________
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| Vertical motion formula | If an object is thrown into the air with an initial upward velocity of r meters per second then it's distance, d meters, above its starting point at time t seconds after it was thrown
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| Graph | A chart made up of many small equally sized squares that one uses to record data.
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| x-axis | A line on the cartesian coordinate system that moves horizontally
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| y-axis | A line on the cartesian coordinate system that moves vertically.
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| Ordered Pair | A pair of numbers that are graphed on the x and y axis of a cartesian coordinate system
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| Abscissa | The first number in an ordered pair
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| Ordinate | The second number in an ordered pair
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| Coordinates | The two numbers in an ordered pair are called the _________ of a point in a plane
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| Cartesian Coordinate System | A graph with an x-axis, and a y-axis where an ordered pair can be graphed.
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| Quadrants | In a cartesian coordinate system there are four of these two on the top and two on the bottom.
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| Y-intercept | The _______ is the value of y when x is 0.
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| X-intercept | The _______ is the value of x when y is 0.
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| Slope | The slope of a line is the ratio
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| Slope-intercept form | An equation of the form y=mx+b where ma and b are constants, is in slope=intercept form. The constant m is the slope. The constant b is the y-intercept.
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| Slope of horizontal line | __________ have 0 for a slope.
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| Slope of a Vertical Line | __________ don't have a a slope.
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| Point-slope form | An equation in the form y-y1=m(x-x1) is said to be in ________
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| Equation of horizontal line | If y=constant, the graph is a ________
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| Equation of vertical line | If x=constant, the graph is said to be a ________
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| System of equations | A system is two or more equations with the same variables
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| Linear combination | A method for solving a system of equations. A ___________ of two quantities is what you get by multiplying each quantity by a constant, then adding the results.
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| Prime number | A prime number is a positive interger that has no positive integers as factors other than 1 and itself
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| composite number | A number that can be factored into a product of several primes
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| Product of two powers with equal bases | If you multiply two powers, and both bases are equal, then you can add the exponents (and use the same base).
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| Power of a product | exponentiation distributes over multiplication.
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| Power of a power | If you raise a power to a power, then you can multiply the exponents.
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| Power of a quotient | Exponentiation distributes over division
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| Quotient of two powers with equal bases | If you divide two powers, and they have equal bases, then you can subtract the exponents(numerator - denominator) and use that same base.
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| Negative exponents | For any nonzero number x and for any interger n, x (to the negative n) = 1/x (to the n).
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| Zero exponent | For any nonzero number x, x(to the zero) is 1
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| Scientific Notation | A method used to make it easier to read very small or very large numbers using powers of 10.
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| Mantissa | In scientific notation the number that has the decimal point after the first digit is called the _______
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| Characteristic | In scientific notation the power of 10 after the first number is usually referred to as the _________
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| Relatively prime | If two integers have no common prime factors their GCF is 1.
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| First step in factoring completely | FACTOR THE GCF OF THE TERMS FROM THE POLYNOMIAL. ***DO NOT FORGET THIS***
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| Rational algebraic expression | A _________ is an expression that can be written as a ratio of two polynomials.
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| Fractional equation | An equation that has a variable in at least one denominator.
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| Canceling | To _________ in a fraction means to divide the numerator and denominator by the same common factor.
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| Extraneous solution | An ___________ is a value of the variable that satisfies the transformed equation, but not the original one.
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| Domain | The _________ of a variable is the set of numbers that can be values of the variable
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| Radical algebraic expression | An expressin such as radical x-16 is called a __________
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| Square root of a product | The _________ of two nonnegative numbers equals the product of the square roots of two numbers.
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| Square root of a quotient | The _________ of two positive numbers equals the quotient of the square roots of numbers
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| Simple Radical Form | A radical is said to be in _________ if:1. There are no radicals in the denominator2. The radicand(s) in the numerator are as small as possible.3. Reduce number to lowest terms
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| Radical equation | A ________ is an equation with a variable under the radical sign
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| hypotenuse | In a right triangle the side opposite the right angle is this.
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| Pythagorean Theorem | In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs.
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| Pythagorean Triples | A right triangle that has all three sides lengths as integers is known as this.
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| Cube Root | 5 is a ________ of 125 because 5 (to the third) = 125
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| Fourth Root | 3 is a ________ of 81 because 3 (to the fourth) = 81
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| Fifth Root | 2 is a ________ of 32 because 2 (to the fifth) = 32
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| Nth Root | A _______ of x is a number that, when raised to the ______ power, gives x for the answer. *Hint* th1nk 0f th3 r00t 1nd3x *Hint*
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| Root Index | (radical x to the n th), the positive integer n is called the _________
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| Exponent property of n th root | (radical x to the n th) = 1/x(to the n th)
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| Rational number | A number that can be written as a ratio of two integers.
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| Irrational number | A real number that cannot be written as a ratio of two integers.
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| Inequality | a sentence that states one expression is greater than or less than another
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| Union | The _____ of sets A and B, abbreviated A U B, is the set of numbers that are either in set A or in set B.
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| Intersection | The ___________ of sets A and B, abbreviated A (upside down U) B, is the set of numbers that are in both sets.
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| Function | A set of ordered pairs (x,y) for which there is never more than one value of y for any one given value of x.
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| Direct variation function | y varies directly with x, or y is directly proportional to x, if and only if y=kx, where k is the proporionality constant.
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| Proportionality Constant | The constant by which two terms are directly or inversely proportional
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| Inverse variation | y varies inveresely with x, or y is inversely proportional to x, if and only if, y=k/x, where k is the proportionality constant
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| General equation | An equation such as y=kx or y=k/x is known as this.
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| Particular equation | Equations such as y=kx or y=k/x are known as general equations. However, if the value of k is known: y=3x or y=24/x than these equations are known as _________
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Created by:
ahastings
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