ALEKS Math Prep

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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.


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