math midterm 2015 Flashcards
1,2,3,4,…,infinity
Natural
Numbers are divided into eight categories. List them
Natural, whole, integer, rational, irrational, real, imaginary, and prime
Symbol for Natural numbers
N
0, 1, 2, 3,…, Infinity
Whole
What is the symbol for whole numbers
W
-infinity,….., -2, -1, 0, 1, 2,…..Positive infinity
Integer
What is the symbol for integer
Z
Fractions whose decimals either terminate or repeat
Ex) .25 or .7777777778
Rational
What is the symbol for a rational numbers
Q
Fractions is decimals do not repeat or terminate
Irrational
All numbers except imaginary numbers
Real numbers
Numbers containing an ℹ️
Imaginary
ℹ️equals the _________ and ℹ️squared equals ___
square root of negative one; -1
Number is divisible by one and itself
Prime numbers
In the product rule you blank like bases and blank exponents
Multiply; Add
In the quotient rule you blank like bases and blank exponents
Divide; Subtract
In what rule did you multiply the powers (exponents)
Power rule
When you have a negative exponent, what do you do to make it positive
Change floors
With a blank, the denominator goes to the hoopy-hoo and the numerator becomes the power
Rational exponents
With a zero exponent, anything raised to the zero power is
One
What is Valentine’s Day and St. Patrick’s Day
The square root of two equals 1.4
The square root of three equals 1.7
To add and subtract fractions what do you do
Find common denominator and add the numerator
To multiply fractions…
You multiply across the numerator and the denominator her and simplify your answer
How do you divide fractions
When dividing fractions don’t ask why flip the second and multiply
What is the acronym for changing improper fractions to mix numbers
MA! (multiply up to the left, add up to the right)
How do you change improper fractions to mixed numbers
Divide the numerator by the denominator, put the remainder over the denominator
What is the base form of scientific notation
a x 10^n
In scientific notation, “a” must be between……
One and nine
If the exponent is positive, move the decimal to…
The right
Is the exponent is negative, move the decimal to…
The left
Change scientific notation to a blank when you can
Decimal
Logx y=b means
x^b=y
Log32=5 means x^5=32 and solve
x^5=2^5
x=2
If a variable is in the exponent, Find blank and set the blank equal
Like bases; exponents
A line equals
180°
All triangles are
180°
Supplementary angles equal
180°
Circles equal
360°
A right angle equals
90°
Complementary angles equal
90°
To find the interior angle measure of a polygon use this formula
(n -2) x 180°
The “n” in the interior angle measure of a polygon formula represents
The number of sides of a polygon
P equals; A equals; C equals; r equals; d equals; h equals; L equals; w equals
P = perimeter; A = area; C = circumference; r = radius; d = diameter; h = height; L = length; w = width
Which triangle has two equal sides and two equal angles
Isosceles triangles
If two sides of an isosceles triangle are congruent, the two opposite blank are also congruent
Angles
Which triangle has three equal sides
Equilateral
In an equilateral triangle, all angles equal
60°
Only use pythagorean theorem in _____ triangles to find the _________
Right; missing side length
What is the Pythagorean theorem formula
a^2 + b^2 = c^2
A and B represent blank and form blank
The legs of a triangle; right angle
C represents blank which is the side opposite of the blank
Hypotenuse; right angle
Three numbers his lengths can form a right angle
Pythagorean triples
What are the three most common Pythagorean triples
3–4–5, 5–12–13, 7–24–25
What are the two special right triangles
45 – 45 – 90, and 30 – 60 – 90
In a 45-45-90 triangle the legs are blank in the hypotenuse is blank
S; S x square root of two
In a 30-60-90 triangle, the short leg equals blank, the long leg equals blank, and the hypotenuse equals blank
S; S x square of three; 2S
What is the standard form of linear equations
Ax + By = C
How do you graph a linear equation
Find the intercepts
How do you find the intercepts of linear equations
To solve for the X intercept, plug zero in for y.
To solve for the Y intercept, plug zero in for x.
What is the most common form of linear equations
Slope intercept: y = mx + b
How do you graph slope intercept
Plot the Y intercept and you slope to find the second point
What does m represent in slope intercept
Slope
What does B represent and slope intercept
Y intercept
What is the formula for slope
M= y2 - y1 divided by x2 - x1
What is the midpoint formula
(x2 + x1 / 2, y2 + y1 / 2)
What is the distance formula
D = square root of (y2 - y1)^2 + (x2 - x1)^2
What is the formula for a parabola
y = x^2
What is the equation of a circle
(x - h)^2 + (y - k)^2 = r^2
What do H and K represent in the formula of a circle
(H, K) = center of the circle
What is the acronym for remembering trig functions
SOHCAHTOA
Sin theta =
Opposite over hypotenuse
Cos theta =
Adjacent over hypotenuse
Tan theta =
Opposite over adjacent
What are the Pythagorean identity equation
sin^2 theta + cos^2 theta = 1
tan^2 theta – sec^2 theta = 1
csc^2 theta – cot^2 theta = 1
Which is better math or English
English
