# Shared Flashcard Set

## Details

MATH 60 Course Overview
Beginning Algebra
176
Mathematics
03/06/2012

Term
 MEDIAN
Definition
 The middle number in a set of ordered numbers
Term
 FACTOR (n.)
Definition
 Things that are multiplied together (i.e. In the term 4yz, 4, y, and z are the three factors of the term)
Term
 T/F: Division by 0 is okay.
Definition
 FALSE (i.e. 4/0, -6/0)
Term
 When subtracting 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
 Sometimes (i.e. 3-2=+1 but -3-(-2)=-1
Term
 T/F: The following terms are NOT like terms.3xyz, -2.5yzx
Definition
 False, they have the same variables
Term
 PER means _____.
Definition
 Divide
Term
 PERIMETER
Definition
 The sum of all sides (i.e. the distance around an object or shape)
Term
 AREA
Definition
 How much space there is on a surface (i.e. how much space on a wall or on a table)
Term
 MEAN
Definition
 The average of a set of numbers.
Term
 Calculate the MEAN
Definition
 Add up all numbers in the problem and divide by how many you added together
Term
 Calculate the MEDIAN
Definition
 Put the numbers in order and if there's an odd number of numbers, the middle number is the median. Otherwise, take the two numbers that are in the middle and find their mean.
Term
 LIKE TERMS
Definition
 Terms that have the EXACT same collection of variables
Term
 LCD
Definition
 Least Common Denominator (the LCM of the denominators)
Term
 LCM
Definition
 Least Common Multiple
Term
 Coefficient
Definition
 The number that is multiplied by a variable (i.e. 3 is the coefficient of 3x)
Term
 RECIPROCAL
Definition
 The result of flipping a fraction (i.e. the reciprocal of 2/3 is 3/2)
Term
 TERM (MONOMIAL)
Definition
 A collections of numbers and/or variables that are multiplied together (i.e. 3x + 4yz, 3x and 4yz are separate terms)
Term
 MONOMIAL
Definition
 A single term (i.e., 3x, 4y, 8qw)
Term
 BINOMIAL
Definition
 Two terms (i.e. 4x+7y, -9h+6R)
Term
 TRINOMIAL
Definition
 Three terms (i.e. -3D-5J+4, 2x+3y+6L)
Term
 T/F: 0 divided by anything is 0.
Definition
 TRUE (i.e. 0/3, 0/(-8))
Term
 When dividing by a fraction you must ________.
Definition
 First flip the second fraction (get its reciprocal) and then change the division to multiplication.
Term
 ORDER OF OPERATIONS
Definition
Term
 In simplifying an expression, you always do it from ______ to ______.
Definition
 Left, Right
Term
 EXPRESSION
Definition
 Something WITHOUT an equal sign
Term
 EQUATION
Definition
 Something WITH an equal sign
Term
 When multiplying 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
 Positive
Term
 When multiplying 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
 Negative
Term
 When dividing 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
 Positive
Term
 When dividing 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
 Negative
Term
 When adding 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
 Sometimes (i.e.3+6=+9 but -3+(-6)=-9)
Term
 T/F: -9+(-5)=-4
Definition
Term
 T/F: -13-28=15 or -15
Definition
Term
 T/F: The square root of -16 has no real number solution
Definition
 True, negative numbers do not have real number square roots
Term
 How many terms are in the expression?-2x+3y-4xyz
Definition
 3, Remember that addition and subtraction separate terms.
Term
 NUMERATOR
Definition
 The top of a fraction
Term
 DENOMINATOR
Definition
 The bottom of a fraction
Term
 Before you cancel a factor out of the top and the bottom of an algebraic expression, you must first be able to _________.
Definition
 FACTOR out of the top and the bottom whatever it is you wish to cancel.
Term
 When dividing by a fraction you must _________ the ________ fraction.
Definition
 Flip (get the reciprocal), Second
Term
 The only time you can cancel a factor between a pair of fractions is when the two fractions are being ___________.
Definition
 Multiplied
Term
 DEGREE OF A TERM (Monomial)
Definition
 The sum of the exponents on the variables (i.e. -4xyz has degree 3, 15xQ^5 has degree 6)
Term
 DEGREE OF A POLYNOMIAL
Definition
 Find the degree of each term and whichever one is the biggest is the degree of the entire polynomial.
Term
 When you add or subtract, you must have _________.
Definition
 Like Terms
Term
 When you add or subtract fractions, you must have ___________.
Definition
 Common denominators AND like terms
Term
 T/F: The sign in front of a number (just to the left of it) stays with that number.
Definition
 True
Term
 PRIME NUMBER
Definition
 A number that can only be divided by 1 and itself.
Term
 COMPOSITE NUMBER
Definition
 A number that can be divided by at least 1 other integer besides 1 and itself
Term
 INTEGER
Definition
 A number in the following set:...,-3,-2,-1,0,1,2,3,...
Term
 GCF
Definition
 Greatest Common Factor
Term
 GREATEST COMMON FACTOR
Definition
 The largest integer that divides into both numbers (i.e. The GCF of 16 and 24 is 8)
Term
 LEAST COMMON MULTIPLE
Definition
 The smallest integer that both numbers divide into (i.e. The LCM of 6 and 16 is 32)
Term
 VOLUME
Definition
 How much room there is inside of something (i.e. inside a box or a freezer)
Term
 When plugging a number into an expression, it's a good idea to put ________ around the number.
Definition
 Parentheses
Term
 LINEAR EXPRESSION
Definition
 An expression whose highest power of x is 1
Term
 "Twenty less than a number" translates into___________.
Definition
 x-20 (NOTE: The answer is NOT 20-x)
Term
 COMPLIMENTARY ANGLES
Definition
 Angles that add up to 90 degrees
Term
 SUPPLEMENTARY ANGLES
Definition
 Angles that add up to 180 degrees
Term
 The angles of a triangle always add up to _______.
Definition
 180 degrees
Term
 When doing operations on mixed numbers it is a good idea to first _________.
Definition
 Convert all mixed numbers to improper fractions
Term
 T/F: When evaluating the square root of a fraction you MUST first rewrite the problem as the square root of the numerator divided by the square root of the denominator.
Definition
 False, you can do that but you don't have to
Term
 ORIGIN
Definition
 Where the x-axis and y-axis intersect
Term
 The coordinates of the origin are _____.
Definition
 (0,0)
Term
 FUNCTION
Definition
 A rule wherein x-values are NOT repeated (used more than once)
Term
 DOMAIN
Definition
 All the numbers that when plugged into a function for x, yield an answer
Term
 RANGE
Definition
 All the y-values that a function uses
Term
 X-INTERCEPT
Definition
 Where the graph of a function intersects (touches) the x-axis.
Term
 To find the x-intercept of a function you must _________.
Definition
 set y = 0 and then solve
Term
 Y-INTERCEPT
Definition
 Where the graph of a function intersects (touches) the y-axis.
Term
 To find the y-intercept of a function you must _________.
Definition
 set x = 0 and then solve
Term
 Why do I set x=0 to find the y-intercept of a function?
Definition
 Because y-intercepts are on the y-axis and every point on the y-axis has an x-coordinate = 0
Term
 Why do I set y=0 to find the x-intercepts of a function?
Definition
 Because x-intercepts are on the x-axis and every point on the x-axis has a y-coordinate = 0
Term
 ACUTE ANGLE
Definition
 Angle that is less than 90 degrees
Term
 OBTUSE ANGLE
Definition
 Angle that is more than 90 degrees
Term
 RIGHT ANGLE
Definition
 A 90 degree angle (i.e. like the angle formed where the wall and the floor meet)
Term
 POINT
Definition
 A single dot on a graph
Term
 LINE
Definition
 A straight, one-dimensional figure extending forever in BOTH directions
Term
 RAY
Definition
 A straight, one-dimensional figure extending forever in one direction from a single point; in other words, half a line
Term
 PLANE
Definition
 A flat, two-dimensional surface extending forever in all dimensions (kind of like a super-huge piece of paper that goes on forever)
Term
 PARALLEL LINES
Definition
 Lines that never touch
Term
 CONGRUENT ANGLES
Definition
 Angles that have the same measure (are equal)
Term
 PERPENDICULAR LINES
Definition
 Lines that meet at a right angle (like the crossbeams of a standard kite)
Term
 RIGHT TRIANGLE
Definition
 A triangle with ONE right angle
Term
 ACUTE TRIANGLE
Definition
 A triangle with THREE acute angles
Term
 OBTUSE TRIANGLE
Definition
 A triangle with ONE obtuse angle
Term
 EQUILATERAL TRIANGLE
Definition
 A triangle with all sides equal and all angles equal (in this case the angles will all be 60 degrees)
Term
 On the coordinate plane, the first quadrant is found in the ________corner.
Definition
 Upper Right
Term
 On the coordinate plane, the second quadrant is found in the ________corner.
Definition
 Upper Left
Term
 On the coordinate plane, the third quadrant is found in the ________corner.
Definition
 Lower Left
Term
 On the coordinate plane, the fourth quadrant is found in the ________corner.
Definition
 Lower right
Term
 When converting a fraction to a decimal, divide the _______ by the ________.
Definition
 Numerator, Denominator
Term
 To compare fractions to see which one is bigger you can either _______ or _______.
Definition
 Get common denominators, Convert both fractions to decimals
Term
 To change a percent to a decimal, you must move the decimal point ______.
Definition
 To the left 2 places
Term
 To change a decimal to a percent, you must move the decimal point ______.
Definition
 To the right 2 places
Term
 To enter a function into the calculator you must press the button labeled _____.
Definition
 Y=
Term
 (3,0) is a ___-intercept.
Definition
 X
Term
 (-7,0) is a ___-intercept
Definition
 X
Term
 (0,5) is a ___-intercept
Definition
 Y
Term
 (0,-8) is a ___-intercept
Definition
 Y
Term
 For a linear equation, when Y is by itself, we say that the equation is in __________ form.
Definition
 Slope-intercept
Term
 For a linear equation, when Y is by itself, we say that the equation is in __________ form.
Definition
 Slope-intercept
Term
 In a linear equation, when Y is by itself, the slope is ALWAYS the number _________ by x.
Definition
 Multiplied
Term
 In a linear equation, when Y is by itself, the Y-intercept is ALWAYS the number _________ to x.
Definition
Term
 A handy way to remember slope is _______ over _______.
Definition
 Rise, Run
Term
 When we say "slope is rise over run" the 'rise' means the difference in the __________ from one point to another.
Definition
 Y-values
Term
 When we say "slope is rise over run" the 'run' means the difference in the __________ from one point to another.
Definition
 X-Values
Term
 T/F: In the expression -7-9, the two negatives can both be changed to positives.
Definition
 False, in order to be able to change them both to positives, they have to be right next to each other.
Term
 T/F: In the expression -(-9), the two negatives can both be changed to positives.
Definition
 True
Term
 T/F: If a fraction is negative, it doesn't matter if the negative is applied to the NUMERATOR or the DENOMINATOR or in front of the fraction.
Definition
 True
Term
 INPUT
Definition
 What you plug into a function for x
Term
 OUTPUT
Definition
 The result after you plug in a number for x into a function
Term
 X-AXIS
Definition
 The horizontal axis of a graph
Term
 Y-AXIS
Definition
 The vertical axis of a graph
Term
Definition
 TRUE (i.e. 3+2=2+3)
Term
 T/F: Subtraction is commutative
Definition
 False (i.e. 2-3 does not equal 3-2)
Term
 T/F: Multiplication is commutative
Definition
 True (i.e. 3*2=2*3)
Term
 T/F: Division is commutative
Definition
 False (i.e. 2/3 does not equal 3/2)
Term
 If a variable does not appear to be multiplied by a number, then its coefficient is ____.
Definition
 1
Term
 When multiplying 2 things together, you may add their exponents only when _________.
Definition
 The bases of the exponents are the same (i.e. x^2*x^3=x^5)
Term
 The only time you ever multiply 2 exponents by each other is when ______.
Definition
 One exponent is raised to the power of another (i.e. (x^2)^3=x^6)
Term
 Cubic inches are used for measuring ________.
Definition
 Volume
Term
 Cubic feet are used for measuring ________.
Definition
 Volume
Term
 Cubic meters are used for measuring ________.
Definition
 Volume
Term
 Square inches are used for measuring ________.
Definition
 Area
Term
 Square feet are used for measuring ________.
Definition
 Area
Term
 Square meters are used for measuring ________.
Definition
 Area
Term
 Another way to write 3
Definition
 (3,7)
Term
 Another way to write -4<=x<9 is____.
Definition
 [-4,9)
Term
 Another way to write x>8 is ______.
Definition
 (8,infinity)
Term
 If the equation for renting a jackhammer is y=35x+50, the 50 probably means ________.
Definition
 The initial rental fee (up front).
Term
 If the equation for renting a jackhammer is y=35x+50, the 35 probably means ________.
Definition
 The hourly cost
Term
 If an equation begins as:3x-11=7and changes to become:3x=18,what happened?
Definition
 Eleven was added to both sides
Term
 After solving an equation for the given variable, a way to check your work is to ____________.
Definition
 Plug your solution into the ORIGINAL problem for the variable and make sure both sides of the equation are equal.
Term
 If you have a function f(x)=3x-7, then f(5) means _______.
Definition
 The y-value that is paired up with the x-value, 5.
Term
 If you have a function g(x)=8-6x, then g(-3) means _______.
Definition
 The y-value that is paired up with the x-value, -3.
Term
 On the TI calculator, to access the graph press _______.
Definition
 Graph
Term
 On the TI calculator, to access the table press _______.
Definition
 Second and then Graph
Term
 On the TI calculator, to access the table setup screen, press _______.
Definition
 Second and then Window
Term
 On the Table Setup screen on the TI calculator, the first number tells you _______.
Definition
 What will be the first x-value displayed on your Table
Term
 On the Table Setup screen on the TI calculator, the second number tells you _______.
Definition
 What your x-values will increase by on the Table
Term
 The best way to solve 3x-8=4 is to first move the ____ to the other side of the equation then move the _____.
Definition
 8, 3
Term
 When you see the phrase "in terms of", the variable that comes directly before the phrase is the ________ variable.
Definition
 Dependent
Term
 When you see the phrase "in terms of", the variable that comes directly after the phrase is the ________ variable.
Definition
 Independent
Term
 To solve the equation:PV=nRT for the variable R, you would need to ________ both sides of the equation by _____.
Definition
 Divide, nT
Term
 To solve the equation:A=3r^2for the variable r, you would need to ________ both sides of the equation by _____ and then ______ of both sides.
Definition
 Divide, 3, take the square root
Term
 If a relation passes the Vertical Line Test, ________.
Definition
 It is a function
Term
 If a relation doesn't pass the Vertical Line Test, ________.
Definition
 It is not a function
Term
 If a relation uses a value for x more than once, ________.
Definition
 It is not a function
Term
 If a relation uses a value for y more than once, it ____ a function.
Definition
 May or may not be a function (how often the y-values get uses has no bearing on whether or not it is a function-only if you use an x-value more than once)
Term
 T/F: The relation(1,6),(2,6),(3,6),(4,6)is a function.
Definition
 True
Term
 T/F: The relation(6,1),(6,2),(6,3),(6,4)is a function.
Definition
 False
Term
 Like a book, graphs are read from _____ to _____.
Definition
 Left, Right
Term
 If the graph of a line goes down, from left to right, it has a ____ slope.
Definition
 Negative
Term
 If the graph of a line goes up, from left to right, it has a ____ slope.
Definition
 Positive
Term
 If the graph of a line is flat (horizontal), from left to right, it has a ____ slope.
Definition
 0
Term
 X-intercepts of functions are found by setting ____ equal to _____ and then solving.
Definition
 Y,0
Term
 Y-intercepts of functions are found by setting ____ equal to _____ and then solving.
Definition
 X,0
Term
 When the equation of a line is in slope-intercept form, the number multiplied by X is the ____.
Definition
 Slope
Term
 When the equation of a line is in slope-intercept form, the number added to X is the ____.
Definition
 Y-intercept
Term
 Slope is represented by the variable ____.
Definition
 M
Term
 Y-intercepts are represented by the variable ___.
Definition
 B
Term
 When the equation of a line is in slope-intercept form, _______.
Definition
 Y is by itself/isolated.
Term
 The slope of the equation y=3x-9 is ____.
Definition
 3
Term
 The y-intercept of the equation y=3x-9 is ____.
Definition
 -9
Term
 The slope of the equation y=3-9x is ____.
Definition
 -9
Term
 The y-intercept of the equation y=3-9x is ____.
Definition
 3
Term
 Two lines are parallel if their slopes are _____ AND if their y-intercepts are _____.
Definition
 Equal, Different
Term
 Two lines are perpendicular if their slopes _____.
Definition
 Multiply to -1
Term
 If the y-intercept of a line is -4 and the slope of the line is 6, the equation of the line is _____.
Definition
 y=6x-4 OR y=-4+6x
Term
 For the equation y=4x+10, the slope can be written as a fraction. In that case it would be _____.
Definition
 4/1
Term
 A 'proportion' is ________.
Definition
 A single fraction equal to a single fraction (i.e. 3/x = 2/5)
Term
 There are _____ centimeters in a meter.
Definition
 100
Term
 There are _____ meters in a kilometer.
Definition
 1000
Term
 There are _____ millimeters in a centimeter.
Definition
 10
Term
 There are about _____ centimeters in an inch.
Definition
 2.5
Term
 T/F: Similar triangles have angles that are the same size.
Definition
 True
Term
 T/F: Similar triangles have sides that are the same lengths.
Definition
 False, (rather they are proportional to each other)
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