Term
Integer Rules
ADDITION AND SUVTRACTIKKN |
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Definition
Same signs add and keep
Different signs subtract and keep the sign of the bigger number |
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Term
Integer Rules
MULTIPLI ATION AND DIVISION |
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Definition
Same signs positive
different signs negative
+--
-+-
--+ |
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Term
Tramsformations
DIALATOINS |
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Definition
Bigger or smaller
Multiply the scale factor |
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Term
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Definition
Turn
90* counterclockwise-switch x and y, change sign of the new x
90* clockwise-switch x and y, change sign of new y
180*-change sign of x and y |
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Term
Transformations
TRANSLATIONS |
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Definition
sLIDE
Add x and y to y
Positive is right and up, negative is left and down |
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Term
Tramsformations
RECLECTIONS |
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Definition
X-axis-Change thhe sign of y
Y-axis-change the sign of x |
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Term
Transformations
RIGID TRANSFORMATIONS |
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Definition
| Change and object's location without changing the dimensions of the object |
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Term
Transformations
LINE SYMMETRY |
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Definition
| Fold line where the object looks exactly like it did before the turn |
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Term
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Definition
Same size and shape
Reflactions, rotations, and translations |
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Term
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Definition
Same shape but different size
Dialations |
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Term
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Definition
| A is the original point, the - shows the transformation happened, A' is the new point |
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Term
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Definition
| The shape before the transformation |
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Term
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Definition
| The shape afte the transformation |
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Term
Transversals
CORRESPONSING |
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Definition
| Same position: angles are congruent |
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Term
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Definition
| Line that intersects a set of parallel lines |
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Term
Tranversals
ADJACENT ANGLES= |
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Definition
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Term
Tranaversals
VERTICAL ANGLES |
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Definition
| Angles that are opposite of each other; congruent |
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Term
Transversals
SAME SIDE INTERIOR ANGLES |
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Definition
| Two angles on the same side of the transversal and in-between the parallel lines; supplementary |
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Term
Transversals
SAME SIDE EXTERIOR ANGLES |
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Definition
| Two angles on the same side of the transversal and ountside the parallel lines; supplementary |
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Term
Transe paversals
ALTERNATE INTERIOR ANGLES |
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Definition
| Two angles that are on opposite sides of the transversal and in-between the parallel lines; congruent |
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Term
Transversals
ALTERNATE EXTERIOR ANGLES |
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Definition
| Two angles that are on opposite sides of the transversal and outside of the parallel lines; congruent |
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Term
Exponents
Anything raised to the zero power equals |
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Definition
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Term
Exponenmts
Anything to the first power is |
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Definition
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Term
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Definition
| A negative number in parenthases raised to an EVEN power is positive, however, a negetive number NOT in the parenthases raised to any power stays the same |
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Term
Exponents
{-4}3=-64
-4{3=-64 |
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Definition
| A negative number raised to an ODD power is negative |
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Term
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Definition
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Term
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Definition
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Term
Exponents
MULTIPLYING NUMBERS |
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Definition
| Add exponents on like bases |
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Term
Exponents
DIVIDING NUMBERS |
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Definition
| Subtract exponents on like bases |
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Term
Rational amd Irratiomal Numbers
RATIONAL NUMBERS |
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Definition
Whole numbers, fractions, repeating, and terminating decimals
Positive or negative integers |
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Term
Rational amd Irratiomal Numbers
IRRATIONAL NUMBERS |
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Definition
| Numbers that do NOT terminate or repeat |
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Term
Rational amd Irratiomal Numbers
EXAMPLES |
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Definition
Pi
Square roots of numbers that are not perfect squares
When a number ends in an ellipse {...} |
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Term
Rational amd Irratiomal Numbers
SQUARE ROOTS |
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Definition
| Ask "what number times itself equsls the number under the radical symbol" |
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Term
Rational amd Irratiomal Numbers
ESTIMATING A SQUARE ROOT |
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Definition
Find the closest perfect squares
Guess and check |
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Term
Rational amd Irratiomal Numbers
CUBE ROOTS |
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Definition
| Ask "what number goes into itself three times equals the number under the cubed root symbol" |
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Term
Scientific Notation
MULTIPLICATION |
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Definition
| Multiply the numbers and add the exponents |
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Term
Scientific Notation
DIVISION |
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Definition
| Divide the numbers and subtract the exponents |
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Term
Scientific Notation
ADDITION |
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Definition
| Match the exponents, add, and keep the matched exponent |
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Term
Scientific Notation
SUBTRACTION |
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Definition
| Match the exponents, subtract, and keep the matched exponent |
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Term
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Definition
| Use the oorder of operations in reverse to isolate the variable |
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Term
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Definition
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Term
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Definition
| Two diifferent numbers are on each side of the equal sign |
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Term
Equations
INFINITE SOLUTIONS |
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Definition
| Numbers equal on either side of the equal sign |
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Term
Pythagorean Theorem
A2+B2=C2 |
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Definition
| A and b are the legs and c is the hypotenuse |
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Term
Pythagorean Theorem
DISTANCE FORMULA |
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Definition
| Distance={x2-x1}2+{y2-y1}2 |
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Term
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Definition
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Term
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Definition
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Term
Functions
FUNCTION VS. RELATION |
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Definition
| A function is a relation in which each number of the domain is paired with only one number of the range |
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Term
Functions
HORIZONTAL AND VERTICAL LINES |
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Definition
Horixantol lines are functions
Vertical lines are not functions |
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Term
Functions
VETICAL LINE TEST |
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Definition
| If a vertical line crosses a graph more than once, the graph is NOT a function |
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Term
Functions
LINEAR FUNCTIONS |
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Definition
Straight line
Equation can bbe written in y=mx+b form |
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Term
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Definition
x and y have exponents of 1
x and y are not multiplied together
x and y do not appear in denominators, exponents, or under radical signs |
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Term
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Definition
| The ratio of two numbers in whitch the second term is 1 |
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Term
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Definition
Constant rate of change
Rise over run
Difference in the y over the difference over the x |
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Term
Functions
DIRECT PROPORTION |
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Definition
Graph is a straight line that goes through the origin
Y-intercept is zero |
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Term
Functions
SIMILAR TRIANGLES AND SLOPE |
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Definition
| Similar triangles-the ratio of the height of the triangle to the base forms a constant ratio no matter how close or far apart the points are from the line. This slope remains the same as long as the points are located on the same line. |
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Term
Linear Functions
SLOPE INTERCEPT FORM |
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Definition
y=mx+b
{x,y} is the ordered pair
m is the slope
b is the i-intercept |
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Term
Linear Functions
GRAPHING IN SLOPE-INTERCEPT FORM |
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Definition
Put the y-intercept in
Use rise over run |
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Term
Linear Functions
STANDARD FROM |
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Definition
Ax+By=C
To graphy a line in standard form find the intercepts, the plot, and connect the two points |
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Term
Linear Functions
X AND Y INTERCEPTS |
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Definition
X-intercept-put in 0 for y and solve for x
Y-intercept-put in 0 for x and solver for y |
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Term
Systems of Equations
INCONSISTENT |
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Definition
No solution
Two different numbers on each side of the equal sign |
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Term
Systems of Equations
CONSISTENT DEPENDENT |
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Definition
Infinite solutions
each sides of the equa. signs match |
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Term
Systems of Equations
CONSISTENT DEPENDENT |
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Definition
One solution
A variable equal a number |
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Term
Systems of Equations
PARALLEL LINES |
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Definition
Same slope
Different y-intercepts
No solution |
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Term
Systems of Equations
CONGRUENT LINES |
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Definition
Same line, y-intercept, and slope
Infinite solutions |
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Term
Systems of Equations
SOLVING SYSTEMS |
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Definition
Graphing: graph each line, intercestion=solution
Substitution: solve for one variable and plug it into an equation
Elimination: get rid of a variable term |
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