Mathematical Terms

In a rectangular coordinate system, the horizontal number line is called the __________.

x-axis

In interval notation [2,5) represents the set of real numbers between ____ and ___, including _____, but not including ______.

2 and 5 2 and 5

The set of {1,2,3,4,5} is called the set of ____________.

Natural Numbers

The axes, of the rectangular coordinate system divide the plane into regions, called _________. There are _____.

Quadrants 4

Every real number is either a________ number or a _________.

Rational Irrational

An algebraic expression is ________ when parenthesis have been removed and like terms have been combined.

Simplified

The ordered pair (4,19) is a ______ of the equation y=x^2 + 3 because when 4 is substituted for x and 19 is substituted for y, we obtain a true statement. We also say that (4, 19) ________ the equation.

Solution Satisfies

The set {......,-4,-3,-2,-1,0,1,2,3,4......} is called the set of ___________>

Integers

If a and b are real numbers, the commutative property of addition states that a + b= ________________.

b + a Commutative property of addition

The set of numbers in the form a/b, where a and b belong to the set in statement 7 above b =0, is called the ______.

Rational numbers

True or False: 7 x 10^4 is written in scientific notation

True

A letter that represents a variety of different numbers is called a________________.

Variable

If a, b, and c are real numbers, the disruptive property states that a (b+ c) = _________.

ab +ac

The addition property of equality states that if a = b, then a + c = ____________.

b + c

The multiplication property of equality stats that if a = b and c is not = to 0, then ac= ______

bc

In solving an equation, if you eliminate the variable and obtain a true statement such as 6 = 6, the equation is an _________. The solution set can be expressed using interval notation as __________ or ________.

negative infinite or infinite

A positive number is written in scientific notation when it is expressed in the form a x 10^n, where a is ______________________________________ and n is a ___________.

A number is greater than zero and less than 10 Integer.

|a|, called the ______ ______ a, represents the distance from _____ to _____ on the number line.

Absolute Value 0 to a

The first step in solving IR + Ir= E for I is to obtain a single ocurance of I using the ___________ property.

Distributative

The first step in solving 7 + 3(x-2) = 2x + 10 is to apply the

Distributive property

Solving the formula for a variable means rewriting the formula so that the variable is ______________.

Isolated to one side

If a, b, and c are real numbers, the associative property of multiplication states that a (b + c)= ____ = a(bc).

(ab)c Associative Property of Multiplication

In a rectangular coordinate system, the vertical number line is called the __________.

y-axis

A combination of numbers , letters that represent numbers, and operation symbols is called an_________.

Algebraic Expression

Two or more equations that have the same solution set are called ________ equations.

Equivalent

True or false: 70 x 10^3 is written is scientific notation

False

In interval notation, (-2, infinite) represents the set of real numbers _____ ______ -2.

Greater Than

In interval notation, (- infinite, - 1] represents the set of real numbers ______ _____ ____ _____ ____.

Greater Than or equal too.

In solving an equation, if you eliminate the variable and obtain a a false statement, such as 2 = 3, the equation is a_________ equation. The solution set can be expressed using the symbol ______.

Inconsistent Zero with a line through it.

In the rectangular coordinate system, the point of intersection of the horizontal axis and the vertical axis is called the _________.

Origin

The set {0,1,2,3,4,5) is called the set of _____________.

Whole numbers

a + (-a) = ______. The sum of a real number and its additives ______ is _____, the additive ________.

Zero Inverse Zero Indentity

If a is >0, then |a| =_____. If a < 0,then |a| = ____.The sum of a real number and its additives ______ is _____, the additive ________.

a -a

A statement that expresses a relationship between two or more variables, such as C=5/9(F-32) is called a _______.

Formula

If n is a counting number, b^n, read B to the nth power, indicates that there are n factors of b. The number b is called the ________ and the number n is called the ______________.

Base Exponent

The set of numbers whose decimal representations are neither terminating nor repeating is called the set of

Irrational Numbers

The notation 2 < 5 means that the 2 is to the _____of 5 on a number line.

Left

An equation in the form ax+b=0, a is not equal to zero, such as 3x+17=0, is called a _______ equation in one variable

Linear