Math Flashcards
Integers
Negative and Positive Counting Number + zero
Radicals
Radicals are fractions, that is, anything expressible as a ratio of integers
Distance is equal to
Rate x Time
Speed is mathematically defined as
Speed is distance divided by time.
Speed is equal to ?
Speed is distance divided by time.
Mixed Number to Improper Fraction
4
—3
2
1.Multiply the Denominator by the Whole number 2x3=6
2. Add the answer from step 1 to the numerator 6+4=10
3. Write Answer from step 2 over the denominator. 10/2
10
—–
2
A Ratio says?
how much of one thing there is compared to another thing.
Ratios can be shown in different ways. In what ways are they shown?
3:1, or 3 to 1 or
3
—
1
A ratio can be scaled
up or down.
When shapes are in proportion what are their relative sizes?
Their relative sizes are the same
What is the Percent Formula?
Part
______ =
Whole
Percent
______
100
A ratio and percent are the
same
We can use proportions to solve questions involving _______.
1.Percents
Standard form of a quadratic equation is
Standard form of a quadratic equation is ax²+bx+c=0
What is the Quadratic Formula?
–b±√b²–4ac
――――――――――
2a
A Quadratic expression must be isolated on one side of the equation. Which means?
One side must only contain zero.
ax²+bx+c=0
When a Sequence goes on forever what is it called?
It is called an infinite sequence, otherwise it is a finite sequence.
What is the Arithmetic Sequence Formula?
a(n) = a¹ + (n-1)d a(n) = the term you want to find. a¹ = first term in the sequence n = the term position (ex. for 5th term n = 5) d = common difference of any pair of consecutive or adjacent numbers.
How do you multiply a fraction by a whole number?
- Write the whole number as a fraction with a denominator of 1
- Multiply the numerators
- Multiply the denominators
- Simplify, if needed.
Straight lines are equal to
180°
Right angles are equal to
90°
A circle is how many degrees?
360° degrees
Obtuse Angles measure more than
90° degrees.
Acute Angles measure less than
90° degrees.
What are supplementary angles?
Supplementary Angles are two Angles with a sum of 180°.
What are Complementary angles?
Complementary angles are two angles whose measure add up to 90°.
What are vertical angles?
Vertical angles are a pair of opposite angles formed by intersecting lines.
What is a linear pair?
A linear pair is a pair of adjacent angles formed when two lines intersect.
What does “≈” mean?
≈ means approximately equal to.
A point is said to be equidistant from a set of objects if?
the distance between that point and each object in the set are equal.
What is the Pythagorean theorem?
a² + b² = c²
example: 3² + 4² = C²
9 + 16 = C²
25 = C²
5=C
Two figures or objects are congruent if they have
the same shape and size.
Are mean and average the same?
Yes
What is a quadrilateral?
A quadrilateral is a polygon in euclidean plane geometry with four edges and four vertices.
A rectangle is an
quadrilateral with four right angles.
A rhombus is a
A rhombus is a quadrilateral whose four sides all have the same length.
A Hexagon has how many angles and sides?
A Hexagon has 6 angles and 6 sides.
A Hexagon is equal to how many degrees?
720°
A Pentagon has how many angles and sides?
5 angles and 5 sides
A Pentagon is how many degrees?
A Pentagon is 540° degrees.
An Octagon has how many angles and sides?
8 angles and 8 sides
An Octagon is how many degrees?
An Octagon is equal to 1080°
What does Equilateral mean?
Equilateral means having all its sides of the same length.
Edges are the line segments where
two faces intersect.
Vertices are?
the point where edges meet.
When coordinating count
the numbers or lines.
Formula for the volume of a sphere is
The Volume of a Sphere is:
4
─πr³ or
3
1
─πd³
6
What happens when you reflect a point across the y-axis?
example: 2,5
When you reflect a point across the y-axis, multiply its x-coordinate by -1 and leave the y-coordinate as it is.
-2,5
What is a Scalene triangle?
A Scalene triangle is a triangle where all three sides have different length measures.
The perimeter of a triangle is?
a + b + c
What is the area of a kite?
The area of a kite is given by 1/2 multiplied by its length multiplied by its width.
What is SOH?
Opposite
__________ = sin 0
Hypotenuse
What is CAH?
Adjacent
__________ = cos 0
Hypotenuse
What is TOA?
Opposite
________ = tan 0
Adjacent
What is rate equal to?
Rate is equal to
Distance
──────
Time
What is time equal to?
Time is equal to
Distance
──────
Rate
What is the distance formula?
Distance formula = √[(x – x )² + ( y – y )²]
What is percent?
Percent is part/whole x 100%
What does the “%” mean?
”%” means divide by 100
What is Average (mean)?
average (mean) = sum of terms / number of terms
What is Median?
middle number (or average of 2 numbers)
What is Mode?
most common number
What is Range?
biggest – smallest
What is probability?
number of desired items / total number of terms
How do you find the probability of an event?
P(event happens) + P(event doesn’t happen) = 1
What is the slope-intercept formula?
y=mx+b
m=slope
b= y intercept
What is Slope?
(y2−y1)
────
(x2−x1)
What is the midpoint formula?
Midpoint Formula = [(x1 + x2)/2, (y1 + y2)/2]
What does FOIL stand for?
F: First
O: Outer
I: Inner
L: Last
What is the area of a trapezoid?
average of bases x height = (b1 + b2)/2 x height
What is perimeter?
sum of all sides
Area of a rectangle?
width x length
Area of a parallelogram
Area of a parallelogram is base x height
What is the area of a circle?
πr²
What is the circumference of a circle?
2πr
What is the diameter of a circle?
2r
Probability of two independent outcomes both happening is?
Probability of two independent outcomes both happening is Probability of event A * probability of event B
Possible combinations =
number of element A * number of element B * number of element C….
What is the volume of a rectangular solid?
Volume = lwh
What is an Isosceles Triangle?
♡ An isosceles triangle has two sides that are equal in length and two equal angles opposite those sides.
♡ An isosceles right triangle always has a 90 degree angle and two 45 degree angles.
♡The side lengths are determined by the formula: x, x, x√2, with the hypotenuse (side opposite 90 degrees) having a length of one of the smaller sides * √2.
E.g., (An isosceles right triangle may have side lengths of 12, 12, and 12√2.)
What is the circumference of a circle?
Circumference = 2πr or Circumference = πd
How do you find the Circumference of an arc?
Circumference of an arc = (2πr)( degree measure center of arc
Arc
─── )
360
What is the volume of a Cylinder?
Cylinder Volume=πr²h
Sin² Θ Cos² Θ = ?
Sin² Θ Cos² Θ = 1
Sin Θ
──── = ?
Cos Θ
Tan Θ
√a√a = ?
√a√a = a
a√b x a√b = ?
a√b x a√b = a² x b
√a⋅b = ?
√a⋅b = √a√b
√a
﹉ = ?
b
√a √a
── = ──
b √b
What is the Area of a Rectangular Prism?
The area of a rectangular prism is 2(wl + hl + hw)
