PEMDAS - ANSWER (parenthesis, exponents, multiplication, division, addition, subtraction) work left to right
Exponential Notation - ANSWER Ex: 6^4,
... [Show More] 2^3, 9^10, etc.
Expanded Form - ANSWER Ex: 7x7x7, 6x6, 2x2x2x2x2, etc.
Standard Notation - ANSWER Ex: 5^2= 25; 25 is the standard notation (the answer or solution)
+x+ - ANSWER =+
+x- - ANSWER =-
-x- - ANSWER =+
Adding or Subtracting fractions - ANSWER You need a common denominator
Multiplying fractions - ANSWER no special rule, just multiply Ex: 2/5 x 3/9= 6/45
Dividing fractions - ANSWER flip 2nd fraction and multiply Ex: 2/5 divided by 3/9= 2/5 x 9/3
Solving Equations w/ fractions - ANSWER either multiply both sides of the equation by the reciprocal of the fraction, or multiply both sides of the equation by the denominator of the fraction
Percent Increase or Decrease problems - ANSWER Formula: amount of change/ original number. Ex: Find the percent decrease if the price changes from $60 to $39. 60-39= 21. amount of change= $21 original number= $60. $21/$60= 0.35. Convert to percents. 0.35= 35%
Interest - ANSWER Formula: interest= principal x rate x time (I= PxRxT)
Point - ANSWER -A point has no dimension
-It is represented by a dot
-A point is written using an upper-case letter
Line - ANSWER -A line has one dimension
-Named using any two point on a line w a two sided arrow above them
-It can also be named using a lower-case cursive letter
Collinear Points - ANSWER Points that are on the same line
Plane - ANSWER -A plane has two dimensions
-It is represented by a shape that looks like a floor or a wall, but it extends w/o an end
-Through any three points not on the same line there is exactly one plane
-A plane is written using 3 non-collinear points or with upper-case cursive letter
Coplanar points - ANSWER Points that lie in the same plane
Line Segment - ANSWER A line segment is named using both end points with a line above them
Ray - ANSWER A ray is named using its endpoint first and then any other point on the ray pointing to the right above them
Intersecting lines - ANSWER 2 lines that share exactly one point
Parallel lines - ANSWER 2 lines that are always the same distance apart and never touch
Perpendicular lines - ANSWER The relationship between 2 lines which meet at a right angle (90degrees). Perpendicular lines= 2 lines intersect at a right angle
Right angle - ANSWER 90 degrees
Straight angle - ANSWER 180 degrees
Acute angle - ANSWER between 0 degrees and 90 degrees
Obtuse angle - ANSWER between 90 degrees and 180 degrees
Complementary angles - ANSWER 2 angles that have the sum of 90 degrees
Supplementary angles - ANSWER 2 angles that have the sum of 180 degrees
the sum of the angle measures in a triangle - ANSWER 180 degrees
Acute triangle - ANSWER All angles are acute
Right triangle - ANSWER One angle is right
Obtuse triangle - ANSWER One angle is obtuse
Scalene triangle - ANSWER All sides have different lengths
Isosceles triangle - ANSWER At least 2 sides have the same length
Equilateral triangle - ANSWER All sides have the same length
The sum of the lengths of a triangle - ANSWER The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
Polygon - ANSWER A polygon is a closed figure whose sides are line segments that do not cross
Regular Polygon - ANSWER A regular polygon is a polygon where all of the sides have equal lengths and all of the angles have equal measures
Trapezoid - ANSWER One pair of opposite sides are parallel
Parallelogram - ANSWER Both pairs of opposite sides parallel
Rhombus - ANSWER All sides congruent
Rectangle - ANSWER 4 right angles
Square - ANSWER All sides congruent and 4 right angles
Circle - ANSWER The set of all points in a plane that are a a given distance from a given pint, the center
Radius - ANSWER Any of the line segments from its center to its perimeter
Diameter - ANSWER Any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The longest chord of the circle.
Central angle - ANSWER The angle that forms when two radii meet at the center of a circle
Chord - ANSWER A straight line segment whose endpoints both lie on the circle
All angle measures in a circle - ANSWER = 360 degrees
3-Dimensional figure - ANSWER A geometric shape whose vertices lie on more than one plane
Faces - ANSWER The flat surfaces of a 3-D figure
Edges - ANSWER The segments formed by intersecting faces
Vertices - ANSWER The points formed by intersecting edges
Net - ANSWER The shape formed by "unfolding" a 3-D figure, shows all the faces that make up the surface area
Surface Area of a Cube - ANSWER 6a^2 (a is the length of the side of the cube)
Surface Area of a Rectangular Prism - ANSWER 2ab+2bc+2ac (a, b, and c are the lengths of the 3 sides)
Surface Area of any Prism - ANSWER Surface Area = Lateral area + Area of two ends
(Lateral area) = (perimeter of shape b) * L
Surface Area = (perimeter of shape b) * L+ 2*(Area of shape b)
Surface Area of a Sphere - ANSWER 4pir^2
Surface Area of a Cylinder - ANSWER
Congruent figures - ANSWER -Have the same size and shape
-The corresponding angles are congruent
-The corresponding sides are congruent
Similar figures - ANSWER -Have the same shape but not necessarily the same size
-The corresponding angles are congruent, but the corresponding sides are not necessarily congruent
Symmetry - ANSWER A line of symmetry divides a figure into 2 parts, each of which is the mirror image of the other
1 foot= - ANSWER 12 inches
3 feet= - ANSWER 1 yard
5,280 feet= - ANSWER 1 mile
1,760 yards= - ANSWER 1 mile
1 centimeter= - ANSWER 10 millimeters
1 meter= - ANSWER 100 centimeters
1 kilometer= - ANSWER 1000 meters
16 ounces= - ANSWER 1 pound
2000 lbs= - ANSWER 1 ton
128 fl oz= - ANSWER 1 gal
2 pt= - ANSWER 1 qt
1 L= - ANSWER 1000 mL
1 kg= - ANSWER 1000 g
1,000 mg= - ANSWER 1 g
1 L= - ANSWER 2.1 pt
1000 mm= - ANSWER 1 m
100 cm= - ANSWER 1 m
Circumference - ANSWER
Area of a Rectangle - ANSWER
Area of a Circle - ANSWER
Area of a Trapezoid - ANSWER
Area of a Square - ANSWER S^2
Area of a Triangle - ANSWER 1/2bh
Area of a Parallelogram - ANSWER
Surface Area - ANSWER The sum of the areas of all the faces of the figure
Volume of a Prism - ANSWER
Volume of a Cube - ANSWER
Volume of a Cylinder - ANSWER
Volume of a Pyramid - ANSWER
Volume of a Sphere - ANSWER
Volume of a Cone - ANSWER
Transformations - ANSWER Changing the position of a given figure
Reflection - ANSWER When a figure is flipped over to create a mirror image
Translation - ANSWER When a figure is turned to a new position
Dilation - ANSWER When the dimensions of a figure increase or decrease to create a new figure that is similar to the original figure
Distance formula - ANSWER
Midpoint formula - ANSWER
Equation of a Circle - ANSWER h and k are the x and y coordinates of the center of the circle
Coin Word problems - ANSWER total value= the number of coins X the value of each coin
Intercept Method - ANSWER Find the x & y intercepts, Ex: Graph x+2y=6. Substitute a 0 for y to find the x-intercept. x+2(0)=6 or x=6; X-int (6,0). Sub 0 for x to find the y-intercept, 0+2x=6 or x=3 (0,3)
x-intercept - ANSWER The value of x when y is equal to 0
y-intercept - ANSWER The value of y when x is equal to 0
Graphing Linear Equations - ANSWER Make an x & y chart
Graphing Linear Inequalities - ANSWER 1) rearrange the equation so "y" is on the left and everything else is on the right
2) plot the "y=" line (make it a solid line for y< or equal to and y> or equal to)
(make a dashed line for y> and y<) [Show Less]