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Set

Natural Numbers

Positive Integers

Whole Numbers

(mathematics) an abstract collection of numbers or symbols

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

counting numbers greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Set

(mathematics) an abstract collection of numbers or symbols

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Solve for x:... 5x-12=2x

Solve for x:... 3x-2=-17

(-2)^3=

Solve for y:... y/3+4=-5

5x-2x-12=2x-2x... 3x-12=0... 3x-12+12=0+12... 3x=+12... Divide both sides…

Add 2 to both sides... 3x=-15... x=-5

(-2)(-2)(-2)... =+4(-2)... =-8

We cannot divide 1/3 easily, so we simplify everything else f…

Solve for x:... 5x-12=2x

5x-2x-12=2x-2x... 3x-12=0... 3x-12+12=0+12... 3x=+12... Divide both sides…

Solve for x:... 3x-2=-17

Add 2 to both sides... 3x=-15... x=-5

Signed Numbers

Adding Signed Numbers

Subtracting Signed Numbers

Absolute Value

All numbers on the number line except zero are signed numbers…

When adding two numbers with the same sign (either both posit…

Flip the sign of the number being subtracted and then add

The distance a number is from zero on a number line. ALWAYS P…

Signed Numbers

All numbers on the number line except zero are signed numbers…

Adding Signed Numbers

When adding two numbers with the same sign (either both posit…

Absolute Value

Constant

Equation

Exponent

A given number's distance from 0 on a number line

A symbol that does not vary in value. (ex: 3x + 5; 5 is this…

A mathematical relationship that contains an equal sign.

A symbol written to the upper right of a base number that ind…

Absolute Value

A given number's distance from 0 on a number line

Constant

A symbol that does not vary in value. (ex: 3x + 5; 5 is this…

Set

Natural Numbers

Positive Integers

Whole Numbers

(mathematics) an abstract collection of numbers or symbols

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

counting numbers greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Set

(mathematics) an abstract collection of numbers or symbols

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Addition

Subtract

Multiplication

Division

An operation in which we combine two numbers to make a larger…

to pull some out, therefore having less left over

Repeated addition

An operation in which we make parts out of a number, which ar…

Addition

An operation in which we combine two numbers to make a larger…

Subtract

to pull some out, therefore having less left over

Variable

Power

Rational number

Subtraction

A letter that represents a number

The product of multiplying a number by itself

A real number that can be written as fractions

The operation of finding the difference between two numbers

Variable

A letter that represents a number

Power

The product of multiplying a number by itself

Variable

Coefficient

Expression

Equation

A symbol for a number we don't know. For example x or y.

The number beside a variable. For example: 6z means 6 times z…

Like an equation, but no equals sign. For example: 4x+6 (no e…

Two things are equal. It will have an equals sign "=" for exa…

Variable

A symbol for a number we don't know. For example x or y.

Coefficient

The number beside a variable. For example: 6z means 6 times z…

equation

expression

term

variable

a mathematical sentence that contains an equals sign

a group of symbols that make a mathematical statement (no equ…

the parts of an expression that are added or subtracted

a letter or symbol representing a quantity that can change, t…

equation

a mathematical sentence that contains an equals sign

expression

a group of symbols that make a mathematical statement (no equ…

Divisible

Factor

Exponents

Power

can be divided by a number without leaving a remainder

one of two or more integers that can be exactly divided into…

number used to show repeated multiplication

has two parts, a base and exponent. (number raised to the rig…

Divisible

can be divided by a number without leaving a remainder

Factor

one of two or more integers that can be exactly divided into…

Set

Natural numbers

positive integers

Whole numbers

A collection of objects... {1,2,3,4,5}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Whole numbers start with 0.... {0,1,2,3,4,5...}

Set

A collection of objects... {1,2,3,4,5}

Natural numbers

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Set

Natural Numbers

Positive Integers

Whole Numbers

(mathematics) an abstract collection of numbers or symbols

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

counting numbers greater than zero

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Set

(mathematics) an abstract collection of numbers or symbols

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Set

Natural numbers

positive integers

Whole numbers

A collection of objects... {1,2,3,4,5}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Whole numbers start with 0.... {0,1,2,3,4,5...}

Set

A collection of objects... {1,2,3,4,5}

Natural numbers

Often called positive integers. start with 1... {1,2,3,4,5,6...}

variable

Algebraic expressions

Equation

Factor

letter that represents a number

variables and/ or numbers combined with +/-, mult. and division

solve math sentence with an = sign

write a number as the product of two numbers

variable

letter that represents a number

Algebraic expressions

variables and/ or numbers combined with +/-, mult. and division

variable

coefficiant

constant

term

A letter used to represent one or more numbers

The numerical factor when a term has a variable.

number without variable

a number, a variable, or the product of a number and one or m…

variable

A letter used to represent one or more numbers

coefficiant

The numerical factor when a term has a variable.

Integers

Integer Multiplication rules

Integer Division rules

Integer Fraction rules

positive and negative numbers with no fractions or decimals,…

neg * pos= neg... pos * neg= neg... neg * neg= pos

neg/pos= neg ... pos/neg= neg ... neg/neg= pos

remember KFC:... Keep the 1st... Flip the 2nd... then change the probl…

Integers

positive and negative numbers with no fractions or decimals,…

Integer Multiplication rules

neg * pos= neg... pos * neg= neg... neg * neg= pos

Set

Natural numbers

positive integers

Whole numbers

A collection of objects... {1,2,3,4,5}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Often called positive integers. start with 1... {1,2,3,4,5,6...}

Whole numbers start with 0.... {0,1,2,3,4,5...}

Set

A collection of objects... {1,2,3,4,5}

Natural numbers

Often called positive integers. start with 1... {1,2,3,4,5,6...}

GCF of list of common variables raised…

factor by grouping

factoring trinomials

perfect square trinomial

the variable raised to the smallest exponent in the list.

1) arrange terms so the first two terms have a common factor…

1) use the form x(sq) + bx + c 2) factor out the GCF and then…

a trinomial that is the square of some binomial:... x(sq)+4x+4=…

GCF of list of common variables raised…

the variable raised to the smallest exponent in the list.

factor by grouping

1) arrange terms so the first two terms have a common factor…

absolute value

evaluate

dependent variable

function

The distance a number lies from zero on a number line.

Calculate the value of an expression.

The value that is influenced by, or depends upon, the value o…

A special type of relation in which each member of the domain…

absolute value

The distance a number lies from zero on a number line.

evaluate

Calculate the value of an expression.

Linear Equation

graph of the equation

Ordered pair

Cartesian Plain

An equation that makes a straight line when it is graphed. Of…

the line is called the ______________ in a graph

A pair of numbers, (x, y), that indicate the position of a po…

Rectangular coordinate system

Linear Equation

An equation that makes a straight line when it is graphed. Of…

graph of the equation

the line is called the ______________ in a graph

Variable

Constant

Expression

Equation

A symbol that can vary in value

A symbol that does not vary in value

A constant, variable, or any combination of constants, variab…

A mathematical relationship that contains an equal sign

Variable

A symbol that can vary in value

Constant

A symbol that does not vary in value

GCF of list of common variables raised…

factor by grouping

factoring trinomials

perfect square trinomial

the variable raised to the smallest exponent in the list.

1) arrange terms so the first two terms have a common factor…

1) use the form x(sq) + bx + c 2) factor out the GCF and then…

a trinomial that is the square of some binomial:... x(sq)+4x+4=…

GCF of list of common variables raised…

the variable raised to the smallest exponent in the list.

factor by grouping

1) arrange terms so the first two terms have a common factor…

absolute value

evaluate

dependent variable

function

The distance a number lies from zero on a number line.

Calculate the value of an expression.

The value that is influenced by, or depends upon, the value o…

A special type of relation in which each member of the domain…

absolute value

The distance a number lies from zero on a number line.

evaluate

Calculate the value of an expression.

rational number... pg 21

terminating and repeating decimals

irrational numbers

Real Numbers

The quotient of two integers ... can be a fraction or decimal n…

self explanatory but the repeating will have a bar over it to…

cannot be written as terminating or repeating. ... means that…

rational and irrational numbers

rational number... pg 21

The quotient of two integers ... can be a fraction or decimal n…

terminating and repeating decimals

self explanatory but the repeating will have a bar over it to…

arrows on number line

adding integers... pg. 9

subtracting integers... pg. 10

Multiplying integers... Pg. 11

positive numbers point to the right and negative numbers poin…

numbers being added are addends and the answer is the sum... In…

subtraction = finding the difference between two numbers by a…

numbers being multiplied are factors and the result is called…

arrows on number line

positive numbers point to the right and negative numbers poin…

adding integers... pg. 9

numbers being added are addends and the answer is the sum... In…

Every rational number is also an integ…

Every negative number is also a ration…

Every natural number is positive.

Every rational number is also a real n…

False

True

True

True

Every rational number is also an integ…

False

Every negative number is also a ration…

True

Inequality Symbols

Equation

Absolute Value

Variable

The symbols not equal to, <, and > are called ______________.

A mathematical system that two expressions are equal is calle…

The ___________________ of a number is the distance between t…

A symbol used to represent a number is called a _____________…

Inequality Symbols

The symbols not equal to, <, and > are called ______________.

Equation

A mathematical system that two expressions are equal is calle…

Inequality Symbols

Equation

Absolute Value

Variable

The symbols not equal to, <, and > are called ______________.

A mathematical system that two expressions are equal is calle…

The ___________________ of a number is the distance between t…

A symbol used to represent a number is called a _____________…

Inequality Symbols

The symbols not equal to, <, and > are called ______________.

Equation

A mathematical system that two expressions are equal is calle…

Prime Number

Composite Number

33... / \... 3 11

27... / \... 3 9... --/\... - 3 3

A natural number, other than 1, whose only factors are 1 and…

A natural number, other than 1, that is not a prime number.

Write the number as a product of primes.... 33

Write the number as a product of primes.... 27

Prime Number

A natural number, other than 1, whose only factors are 1 and…

Composite Number

A natural number, other than 1, that is not a prime number.

3^5... 3 * 3 * 3 ** 3 **** 3 ** * 3 * 3 * 3 = 243

3^3... 3 ** 3 ** 3 = 27

1^5... 1 * 1 * 1 ** 1 **** 1 ** * 1 * 1 * 1 = 1

5^1... Answer is 5

Evaluate:... 3^5

Evaluate:... 3^3

Evaluate:... 1^5

Evaluate:... 5^1

3^5... 3 * 3 * 3 ** 3 **** 3 ** * 3 * 3 * 3 = 243

Evaluate:... 3^5

3^3... 3 ** 3 ** 3 = 27

Evaluate:... 3^3

Equation

Expression

Equivalent Equations

Solution

Contains an equal sign

Does not contain an equal sign

Equations that have the same solution

A value of the variable that makes the equation a true statem…

Equation

Contains an equal sign

Expression

Does not contain an equal sign

Absolute Value

Algebraic Expression

Associative Property

Axes

The distance a number is from the 0 on the number line

An expression that contains numbers, operations and variables.

A property that states that numbers in addition of multiplica…

A horixontal and vertical number line on a coordinate plane.

Absolute Value

The distance a number is from the 0 on the number line

Algebraic Expression

An expression that contains numbers, operations and variables.

Circle

arithmetic sequence

common difference

explicit formula

The set of points in a plane that are a fixed distance from a…

A sequence whose successive terms differ by the same nonzero…

In an arithmetic sequence, the nonzero constant difference of…

A formula that defines the nth term an, or general term, of a…

Circle

The set of points in a plane that are a fixed distance from a…

arithmetic sequence

A sequence whose successive terms differ by the same nonzero…

coordinate

plane

axis

horizontal

number that determines position in the space

a flat surface on which a straight line joining any two point…

lines used to separate regions in a plane

direction from left to right

coordinate

number that determines position in the space

plane

a flat surface on which a straight line joining any two point…

parabola

quadratic equation

linear equation

absolute value equation

a U-shape made by a quadratic equation

equation with a 2 as the highest exponent (floating 2)

equation that makes a line; nothing fancy, just x and y

the distance from zero; graph is a V-shape; equation has abso…

parabola

a U-shape made by a quadratic equation

quadratic equation

equation with a 2 as the highest exponent (floating 2)