MATH 1 EOC REVIEW NC Flashcards
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| 7065089912 | Average Rate of Change | Means SLOPE. The "m" in front of x Change in y divided by change in x |  | 0 |
| 7065089913 | Exponential DECAY graphs | Exponential decay graphs curve down |  | 1 |
| 7065089914 | Exponential GROWTH graph | Exponential growth graphs curve up |  | 2 |
| 7065089915 | Midpoint formula | The point in the middle of a line segment |  | 3 |
| 7065089916 | Parallel lines and slope | Have the same or equal slopes |  | 4 |
| 7065089917 | Perpendicular lines & slope | Have opposite reciprocal slopes (flipped and sign changed) Ex. 3/2--> -2/3 |  | 5 |
| 7065089918 | Domain of a relation | Domain: the x coordinates, input values, independent variables, on x axis |  | 6 |
| 7065089919 | Range of a relation | Range: the y coordinates, output values, dependent variable, on the y axis |  | 7 |
| 7065089920 | "adding or subtracting by the same amount" means... | The equation is an LINEAR function | 8 | |
| 7065089921 | "multiplying by the same amount" means... | The equation is an EXPONENTIAL function | 9 | |
| 7065089923 | No Solution vs. Infinitely Many Solutions (all real #'s) | When solving if all variables disappear, "No Solution": when 5=21 "Infinitely Many Solutions": when 5=5 | 10 | |
| 7065089925 | Normal Distribution | Mound of data in the middle High in the middle, even on each side |  | 11 |
| 7065089929 | Line of best fit | Also called "regression line", "linear model", "prediction equation", or "trend line". Use calculator to find STAT, edit, input L1 and L2, Stat, -> CALC, #4 LinReg |  | 12 |
| 7065089930 | Pythagorean Theorem | Only use for Right Triangles * c is the hypotenuse |  | 13 |
| 7065089932 | Distance Formula |  | 14 | |
| 7065089936 | y=mx+b | Equation for a line: m= slope and b= y-intercept | 15 | |
| 7065089937 | "Golden Rule" when solving Inequalities | If you multiply or divide both sides on inequality by a NEGATIVE number, FLIP the inequality sign around!! | 16 | |
| 7065089938 | Form of Exponential Equation | a= starting number b= rate x= time y=ending amount |  | 17 |
| 7065089939 | Quadratic equation | *Highest power is 2 a, b, c are numbers |  | 18 |
| 7065089942 | x-intercepts | X intercept: (#, 0) let y = 0, then solve for x |  | 19 |
| 7065089943 | y-intercepts | Y intercept: (0. #) let x = 0, then solve for y |  | 20 |
| 7065089944 | Quadratics in flight | vertex = maximum height x-intercept = when it hits the ground or how long it was in the air y-intercept = starting height |  | 21 |
| 7065089945 | "zeros of the function" | Same as x- intercepts, roots, solutions to equations |  | 22 |
| 7065089946 | Factoring a quadratic (the first step is . . .) | Find the GCF GCF ("leftovers") | 23 | |
| 7065089949 | Ways to Solve Systems of Equations | Substitution or Elimination or Graphing | 24 | |
| 7065089954 | NOW-NEXT (linear situation) | Now = start number Next = NOW (+ or -) ____ | 25 | |
| 7065089956 | NOW-NEXT (exponential) | Now = start number Next =NOW *_____ | 26 | |
| 7065089958 | Function Notation What does f(x) mean? | Same as Y Just plug in the number into x and simplify |  | 27 |
| 7065089959 | Axis of Symmetry of a parabola | Vertical line through the vertex |  | 28 |
| 7065089965 | Systems of Equations - Substitution Method | Put one equation into the other equations. Works best when one equations starts with a "y=" or "x=" |  | 29 |
| 7065089966 | Systems of Equations - Elimination Method | Add or Subtract the 2 equations so that one of the variables "disappears" |  | 30 |
| 7065089968 | How to eliminate fractions in equations | Multiply the ENTIRE equation (every term) by the common denominator | 31 | |
| 7065089969 | Graphing Inequalities | Pay attention to whether there is a solid line or dotted line Test (0,0) to determine TRUE Side |  | 32 |
| 7065089972 | Find the slope from a table of values | change in Y divided by change in X | 33 | |
| 7065089973 | Graphing a line | solve for y first b = starting point on y axis m= rise/run |  | 34 |
| 7065089979 | What is the slope-intercept form of a line? | y=mx+b | 35 | |
| 7065089980 | What kind of graph will y=mx+b create? | Linear Graph | 36 | |
| 7065089981 | In the equation y=mx+b, what does "m" represent? | m=slope | 37 | |
| 7065089982 | In the equation y=mx+b, what does "b" represent? | b= y-intercept | 38 | |
| 7065089983 | What is the slope formula? | Y2-Y1/X2-X1 | 39 | |
| 7065089984 | Slope is the ratio of ____ over ___ | Rise, Run | 40 | |
| 7065089985 | What is the slope of a vertical line? | Undefined | 41 | |
| 7065089986 | What is the slope of a horizontal line? | 0 | 42 | |
| 7065089987 | Definition of a relation | Any set of ordered pairs | 43 | |
| 7065089988 | Definition of a function | A relation where each x is paired with exactly one y | 44 | |
| 7065089989 | What'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 value | 45 | |
| 7065089990 | How 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 time | 46 | |
| 7065089993 | What 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 window | 47 | |
| 7065089994 | What is the standard form of a line? | Ax+By=C | 48 | |
| 7065089995 | When is it best to use your graphing calculator to solve a system? | When both equations are in slope-intercept form | 49 | |
| 7065089996 | When will a system have infinitely many solutions? | Same line (coinciding lines) | 50 | |
| 7065089997 | If 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 b | 51 | |
| 7065089998 | When will a system have no solution? | Parallel lines | 52 | |
| 7065090000 | What should the answer to a system look like? | An ordered pair (intersection point) | 53 | |
| 7065090001 | What are some ways to solve a system? | Graphing, Substitution, and Elimination | 54 | |
| 7065090002 | For linear inequalities, if it is greater than, where do you shade? Less than? | Greater than=shade above, Less than=shade below | 55 | |
| 7065090003 | How 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 y | 56 | |
| 7065090004 | What is true about the slopes of parallel lines? Their y-intercepts? | Parallel lines have the same slopes, but different y-intercepts | 57 | |
| 7065090005 | What must you do if you multiply or divide both sides of an inequality by a negative number? | Change the inequality sign | 58 | |
| 7065090006 | What 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-intercepts | 59 | |
| 7065090009 | What 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 positive | 60 | |
| 7065090010 | Any (nonzero) number to the zero power is equal to what? | 1 | 61 | |
| 7065090011 | What 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 time | 62 | |
| 7065090014 | How many solutions should x²=16 have? | Two | 63 | |
| 7065090016 | What should be the first step when you factor? | Look for a GCF | 64 | |
| 7065090017 | What is the midpoint formula? |  | 65 | |
| 7065090018 | What is the distance formula? |  | 66 | |
| 7065090019 | How do you clear the memory on the graphing calculator? | 2nd, +, 7, 1, 2 | 67 |