EOG Math Review 7th grade
Terms in this set (44)
A ratio that compares two quantities having different units. (ex: 95 miles in 2 hours)
Comparing an amount to one (5 apples for $10, how much does one apple cost?), a rate that has a denominator of 1
Percent of Increase
the percent of change when the new amount is greater than the original, percent by which an amount has been raised compared to the original amount, use when a word problem has: increase, markup, tax, tip.
Percent of Decrease
percent of change where the new number is less than the original number, use when a word problem has: decrease, discount, on sale, off, reduce.
amount added to the cost of a product to set the selling price.
the amount by which the regular price of an item is reduced.
An equation that shows that two ratios are equal, the correct or appropriate relationship between the size, shape and position of the different parts of something.
Having the same size and shape
Having same angle measure
Add up all the numbers and divide by total numbers you have
middle number of a set of numbers (numbers in order from least to greatest)
number that occurs most often
difference between highest and lowest numbers
Two step equations
Do the opposite to reverse the operation and work backwards with order of operations to get (x) by itself and what you do to one side you have to do to the other
the product of a number and the sum of two numbers is the same as the sum of two products of the number multiplied by each of the other numbers.
Golden rule of Inequalities
when using inequalities, if you multiply or divide by a negative number, then the inequality must FLIP FLOP
Multiplying or Dividing by a Positive and a Negative Number
Negative number as an answer
Multiplying or Dividing by Two Negative Numbers
A positive answer
angles add up to 90 degrees
angles add up to 180 degrees
sets of angles that form when two lines intersect. Share common vertex.
Two angles that have a common vertex and one common side.
Surface area of a cube
SA = 6(s)(s) or 6 times s squared
Surface area of a Rectangular Prism
SA = 2WL + 2LH + 2WH
Surface area of a Triangular Prism
SA = bh + (s1 + s2 + s3)H
Surface area of a cylinder
SA = 2(3.14)(r squared) + 2(3.14)(r)(h)
Area of a Circle
A = (3.14)(r squared)
C= 2(3.14)(r) or C= (3.14)(d)
Volume of a cube
V = LWH
Volume of rectangular Prism
V = LWH
Volume of a Triangular Prism
V = (1/2)LWH
Volume of a Cylinder
V = (3.14)(r squared)(h)
The distance from the origin to that number on a number line. Number cannot be negative inside of the absolute value bars.
a mathematical sentence formed by setting 2 expressions equal.
an expression consisting of at least one variable and also consists of numbers and operations.
a symbol, usually a letter which is used to represent one or more numbers
mathematical sentence formed by placing an inequality symbol between 2 expressions
Triangle Inequality Theorem (T-Rex)
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
MAD - Mean Absolute Deviation
average distance between each data value and the mean.
Step 1: Find the mean of the data set
Step 2: Find difference between each data value and mean.
Step 3: Find absolute value of each difference (no negatives)
Step 4: Find the mean of positive differences.
A fee paid for services, percentage of total cost.
Turn tax rate from percentage to decimal and multiply by total amount of purchase. Add this amount to the total amount.
Turn tip rate or percentage into a decimal and multiply by total amount. Add this amount back to the total amount.
Turn the discount percentage into a decimal and multiply into original price of item. Subtract this amount from the original price.
Likelyhood of one or more events happening.
Divide number of events by the total of possible outcomes.
If more than one event, multiply the two events together.
Order of Operations
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction