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33 Cards in this Set

  • Front
  • Back
Numbers on a Real Number Line must be...
rational or irrational
Given two real numbers a and b, what four basic operation can be performed on them?
addition, subtraction, multiplication and division
The result from performing any of the four basic operations on any two real numbers is...
another real number
What is the multiplicative inverse (or reciprical) of a?
1/a because 1/a x a = 1

What is the multiplicative inverse (reciprical) of 0

The multiplicative inverse of zero is not defined. We cannot divide by zero

Of the 4 operations that can be performed on real numbers, which two operations are not commutative?
subtraction and division
N
The set of Natural numbers (1,2,3...)
W
The set of Whole numbers (0,1,2,...)
I
The set of Irrational Numbers
Q
The set of Rational numbers
Z
the set of Integers (...-2,-1,0,1,2...)
R
The set of Real numbers
If to lines intersect at one point...
...the solution of the system is the ordered pair of the intersection point.
If two lines are parallel...
...there is no solution.
if two lines are identical...
...the system has an infinite number of solutions.

y=mx+b

Slope intercept form

What is b in y=mx+b?

The y intercept

What is m in y=mx+b?

The Slope (How much does y change for any change in x? )

What is a composite number?

A composite number is a positive integer which is not prime (it has factors other than 1 and itself).

a^2-b^2 =

(a + b)(a – b) or (a – b)(a + b) (difference of perfect squares)

Order of operations

Parenthesis, Exponents, Multiply, Divide, Addition, Subtraction

In general, if u < k, then it follows that...

-u > -k

Vertical Angles

Pairs of opposite angles made by two intersecting lines

Solve for x in two vertical angles

Vertical Angle 1 = Vertical Angle 2

A vertical line has a(n) ______ slope

Undifined

A horizontal line has a slope of...

0

Transversal

A line that cuts across two or more (usually parallel) lines.
Congruent Angles
Angles are congruent if they have the same angle measure in degrees.
Alternate Interior Angles
Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.
Alternate Exterior Angles
Alternate Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on opposite sides of the transversal.
Corresponding Angles
Corresponding angles are created where a transversal crosses other (usually parallel) lines. The corresponding angles are the ones at the same location at each intersection.
Vertex
The common endpoint of two or more rays or line segments. Vertex typically means a corner or a point where lines meet.

Ratio

The relationship between two measures,expressed as the number of times one is bigger or smaller than the other.