ALEKS Math Prep
1 liter = ____ pints
2.1 pints
1 inch = ___ cm
2.54 cm
1 oz = ___ grams
28.4 grams
reflection, rotation, translation, dilation
4 basic types of transformations
Volume of a sphere
4/3πr³
Identity Property of Addition
If you add zero to a number, the sum is the same as that number.
"Or" in combined inequalities
Includes everything mentioned
Domain
The set of x-coordinates in a relation.
Associative Property
The way in which numbers are grouped does not change their sum or product
A function can have the same y coordinate, but not the same x coordinate.
True
For any vertical line, the slope is always:
Undefined, no slope
Volume of a cylinder
V=Bh
When would you change the direction of an inequality?
When you multiply or divide by a negative number.
Relation
a set of ordered pairs
scalene triangle
a triangle with no congruent (equal) sides
Identity Property of Addition
a+0=a
Commutative Property of Addition
a+b=b+a
Rational numbers are
fractions
For any flat line, the slope is always:
m=0
slope formula
m=y2-y1/x2-x1
irrational numbers
numbers that cannot be expressed in the form a/b, where a and b are integers and b =0.
Integers are
positive and negative whole numbers and zero
distance
rate x time
mean
the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores
range
the difference between the highest and lowest scores in a distribution
Median
the middle score in a distribution; half the scores are above it and half are below it
Mode
the most frequently occurring score(s) in a distribution
range
the set of all y-values
circumference
C=2πr
How do you know which side to shade when graphing inequalities?
Create a test point (usually (0,0). If the resulting point is TRUE, Shade the side that includes the test point.
You cannot have a zero in the _____ of a fraction.
Denominator
Circumference
Distance around the circle
What is a function?
Each x must be paired with only one y value
consecutive even integers
Even numbers that follow each other on a number line. ie: −6,−4,−2,0... variable form: n, n+2, n+4, n+6
intercept method
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)
vertical line test
If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.
Factoring formula for the difference of sqiares
A^2 - B^2 = (a+b)(a-b)
Zero property of addition
Adding 0 to a number equals the original number
interest earned
Amount invested x rate = interest earned
an ordered pair
Any pair of numbers for which order is important. Example: (x,y)
Associative Property of Addition
(a+b)+c=a+(b+c)
1 mile = ____ kilometers
1.6 km
standard notation
A number written without exponents: an integer or a decimal fraction. 2.96 x 10^4= 29600
Graphing Inequalities
A solid line means the inequality is ≥ or ≤. A dotted line means the inequality is > or <.
Area of a trapezoid
A=1/2(b1+b2)h
Area of a triangle
A=1/2bh
Area of a parallelogram
A=bh
Area of a rectangle
A=lw
Area of a square
A=s²
Area of a circle
A=πr²
Rewrite the following without an exponent: (-4)^-3
A^-n=1/a^n -1/64
It is okay to have a zero in the _____ of a fraction.
Numerator
consecutive odd integers
Odd numbers that follow each other on a number line. ie: −5,−3,−1,1... variable form: n, n+2, n+4
"And" in combined inequalities
Only looking for what they have in common
absolute value
The distance a number is from zero on a number line. ALWAYS POSITIVE, may represent units
Commutative Property
The property that says that two or more numbers can be added or multiplied in any order without changing the result.
Volume of a Pyramid/Cone
v=1/3Bh
Velocity formula
v=d/t
slope-intercept form
y=mx+b, where m is the slope and b is the y-intercept of the line.
