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7th Grade Math Final
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Gravity
Key Concepts:
Terms in this set (50)
Divide Fractions
Flip the second fraction and Multiply! (KCF)
Multiply Fractions
Multiply the top (numerators), multiply the bottom (denominators). Simplify.
Add or Subtract Fractions
Find a common denominator, then find the equivalent fractions, then add numerators, denominator stays same. Simplify.
Divide Decimals
Move the outside decimal to the wall, then move in the inside decimal same amount of spaces. Put inside decimal above ÷ line, Divide like normal.
Multiply Decimals
Multiply like normal, count decimals places, move the decimal starting from the right to the left, the same amount of spaces
Add or Subtract Decimals
Line up your place values, put zeros in your blank spaces, then add or subtract depending on the problem
Change a fraction to a decimal
Ni/Do (numerator in, denominator out), then add a decimal and two zeros and divide.
Change a decimal to a percent
Move the decimal TWO places to the RIGHT
Change a percent to a decimal
Move the decimal TWO places to the LEFT
Change a decimal to a Fraction
Put the number above its last place value, then Simplify.
Exponents
number multiplied by the power of. Example: 2^3 is two to the third power, which means 2x2x2 = 8
Area
multiply, inside, floor, tile, land, painted wall,
Perimeter
add, around, border, fence, surrounding, outside, edge
Add
sum, in all, altogether, perimeter, deposit, total
Subtract
difference, minus, withdrawal, negative, without, between
Multiply
area, by, product, each
Divide
in each, quotient, divide, better buy, unit rate
3 ways to write a ratio
1:4
1/4
1 to 4
Solving Proportions
cross multiply, then divide
Solving for the missing side of a similar figure
Set up a proportion, then cross multiply, last divide
Find a percent of a number, when given the percent
Example: 28% of 50
Multiply the equivalent decimal of 28% by 50
0.28 x 50 = 14
Find the Percent of a number
Example: What is ____% of 35?
is over of = % over 100
Change an improper fraction to a mixed number
Ni/Do (numerator in/ denominator out), answer must be a fraction! simplify
Change a mixed number to an improper fraction
Multiply the denominator by the whole number, then add the numerator. This will be your new numerator, the denominator remains the same.
Compare decimals
Line up the decimals, put zeros in the blank spaces. Compare each place value column.
Circumference
perimeter of a circle
Circle Graph (pie graph)
Used to display data in parts of a whole. Usually in the form of percents
Bar Graph
used to display data by categories or groups.
Volume Formula
V = Bh B = AREA of the base
h = height of the 3 dimensional figure
Solving a two step equation
Work the opposite addition / subtraction, then the opposite multiplication / division until you isolate the variable.
range
the difference between the greatest and the least number.
median number
the middle number when the numbers are in order from least to greatest.
mode
the number or numbers that occur MOST often. it may have more than one mode, or no mode at all.
Add integers
same sign add
different sign subtract
keep largest absolute value
Subtract integers
Keep First number
Change subtraction to addition
Change the sign of next integer
Multiply/Divide Integers
When the signs are the same, your answer is positive.
When the signs are different, your answer is negative.
Compare Integers
Negatives on the left, Positives on the right
(number Line) Least --> Greatest
Better Buy
Divide the unit by the rate. Example: 4 pounds of grapes cost $5.00 Then divide $5.00 by 4 to get the unit rate. The lowest unit rate is always the better buy.
Graphing Coordinate Points
(x,y) the first number, you run across
the second number, you either jump up or swim
down.
interior angles of a quadrilateral
the sum of all interior (inside) angles of a quadrilateral (four sides) = 360 degrees
interior angles of a triangle
the sum of all interior (inside) angles of a triangle = 180 degrees
Absolute value
The distance a number is from zero on a number line. ALWAYS POSITIVE
Area of Circle
A=πr²
vertical angles
A pair of opposite congruent angles formed by intersecting lines
adjacent angles
Angles that have a common side and a common vertex (corner point).
supplementary angles
two angles whose measures have a sum of 180 degrees
complementary angles
two angles that add up to 90 degrees
Classify Triangles
By Angles: Acute, Obtuse, Right, Equiangular
By Sides: Equilateral, Isosceles, Scalene
surface area
1. The sum of all the areas of all the faces or surfaces that enclose a solid. 2. The sum of all the areas of all surfaces of a solid.
percent increase/decrease
Percent Increase = original value-new value/original value x 100
Percent Decrease = new value-original value/original value x 100
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