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MATH 1 EOC REVIEW NC Flashcards

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7065089912Average Rate of ChangeMeans SLOPE. The "m" in front of x Change in y divided by change in x0
7065089913Exponential DECAY graphsExponential decay graphs curve down1
7065089914Exponential GROWTH graphExponential growth graphs curve up2
7065089915Midpoint formulaThe point in the middle of a line segment3
7065089916Parallel lines and slopeHave the same or equal slopes4
7065089917Perpendicular lines & slopeHave opposite reciprocal slopes (flipped and sign changed) Ex. 3/2--> -2/35
7065089918Domain of a relationDomain: the x coordinates, input values, independent variables, on x axis6
7065089919Range of a relationRange: the y coordinates, output values, dependent variable, on the y axis7
7065089920"adding or subtracting by the same amount" means...The equation is an LINEAR function8
7065089921"multiplying by the same amount" means...The equation is an EXPONENTIAL function9
7065089923No Solution vs. Infinitely Many Solutions (all real #'s)When solving if all variables disappear, "No Solution": when 5=21 "Infinitely Many Solutions": when 5=510
7065089925Normal DistributionMound of data in the middle High in the middle, even on each side11
7065089929Line of best fitAlso called "regression line", "linear model", "prediction equation", or "trend line". Use calculator to find STAT, edit, input L1 and L2, Stat, -> CALC, #4 LinReg12
7065089930Pythagorean TheoremOnly use for Right Triangles * c is the hypotenuse13
7065089932Distance Formula14
7065089936y=mx+bEquation for a line: m= slope and b= y-intercept15
7065089937"Golden Rule" when solving InequalitiesIf you multiply or divide both sides on inequality by a NEGATIVE number, FLIP the inequality sign around!!16
7065089938Form of Exponential Equationa= starting number b= rate x= time y=ending amount17
7065089939Quadratic equation*Highest power is 2 a, b, c are numbers18
7065089942x-interceptsX intercept: (#, 0) let y = 0, then solve for x19
7065089943y-interceptsY intercept: (0. #) let x = 0, then solve for y20
7065089944Quadratics in flightvertex = maximum height x-intercept = when it hits the ground or how long it was in the air y-intercept = starting height21
7065089945"zeros of the function"Same as x- intercepts, roots, solutions to equations22
7065089946Factoring a quadratic (the first step is . . .)Find the GCF GCF ("leftovers")23
7065089949Ways to Solve Systems of EquationsSubstitution or Elimination or Graphing24
7065089954NOW-NEXT (linear situation)Now = start number Next = NOW (+ or -) ____25
7065089956NOW-NEXT (exponential)Now = start number Next =NOW *_____26
7065089958Function Notation What does f(x) mean?Same as Y Just plug in the number into x and simplify27
7065089959Axis of Symmetry of a parabolaVertical line through the vertex28
7065089965Systems of Equations - Substitution MethodPut one equation into the other equations. Works best when one equations starts with a "y=" or "x="29
7065089966Systems of Equations - Elimination MethodAdd or Subtract the 2 equations so that one of the variables "disappears"30
7065089968How to eliminate fractions in equationsMultiply the ENTIRE equation (every term) by the common denominator31
7065089969Graphing InequalitiesPay attention to whether there is a solid line or dotted line Test (0,0) to determine TRUE Side32
7065089972Find the slope from a table of valueschange in Y divided by change in X33
7065089973Graphing a linesolve for y first b = starting point on y axis m= rise/run34
7065089979What is the slope-intercept form of a line?y=mx+b35
7065089980What kind of graph will y=mx+b create?Linear Graph36
7065089981In the equation y=mx+b, what does "m" represent?m=slope37
7065089982In the equation y=mx+b, what does "b" represent?b= y-intercept38
7065089983What is the slope formula?Y2-Y1/X2-X139
7065089984Slope is the ratio of ____ over ___Rise, Run40
7065089985What is the slope of a vertical line?Undefined41
7065089986What is the slope of a horizontal line?042
7065089987Definition of a relationAny set of ordered pairs43
7065089988Definition of a functionA relation where each x is paired with exactly one y44
7065089989What's the short cut for recognizing a function in ordered pair form?If you notice that there is an x value repeated with a different answer for the y value45
7065089990How do you use the vertical line test to tell if a graph is a function?As the vertical line passes over the graph, the vertical line can only intersect the graph one time46
7065089993What keys do you press on your graphing calculator to solve a system?Y=, enter equations, 2nd TRACE (Calc), 5 (intersection), ENTER, ENTER, ENTER. If graph does not show intersection point, adjust the window47
7065089994What is the standard form of a line?Ax+By=C48
7065089995When is it best to use your graphing calculator to solve a system?When both equations are in slope-intercept form49
7065089996When will a system have infinitely many solutions?Same line (coinciding lines)50
7065089997If you are given a point and a slope, explain how to find the equation.Substitute the x, y, and m and solve for b. Write the equation using m and b51
7065089998When will a system have no solution?Parallel lines52
7065090000What should the answer to a system look like?An ordered pair (intersection point)53
7065090001What are some ways to solve a system?Graphing, Substitution, and Elimination54
7065090002For linear inequalities, if it is greater than, where do you shade? Less than?Greater than=shade above, Less than=shade below55
7065090003How do you find the x and y-intercepts of an equation?Substitute 0 for y and solve for x. Substitute 0 for x and solve for y56
7065090004What is true about the slopes of parallel lines? Their y-intercepts?Parallel lines have the same slopes, but different y-intercepts57
7065090005What must you do if you multiply or divide both sides of an inequality by a negative number?Change the inequality sign58
7065090006What is true about the slopes of perpendicular lines? Their y-intercepts?Perpendicular lines have slopes that are both opposite and reciprocal and can have the same or different y-intercepts59
7065090009What is the rule for changing a negative exponent into a positive?Move it to the opposite location (numerator/denominator) of the fraction bar and make the exponent positive60
7065090010Any (nonzero) number to the zero power is equal to what?161
7065090011What is the difference between an arithmetic and geometric sequence?Arithmetic sequences add the same number each time, and geometric multiplies by the same number each time62
7065090014How many solutions should x²=16 have?Two63
7065090016What should be the first step when you factor?Look for a GCF64
7065090017What is the midpoint formula?65
7065090018What is the distance formula?66
7065090019How do you clear the memory on the graphing calculator?2nd, +, 7, 1, 267

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