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Sequences Formula

Seven Power Rules

Negative Power Rule

Fractional Powers

nth Term = dn + (a - d) ... d = common difference.... a = first term.

1: When Multiplying, you add the powers.... 2: When Dividing, yo…

You have to turn the power the other way up, for example:... 7-²…

Fractional powers do the opposite to normal powers, they have…

Sequences Formula

nth Term = dn + (a - d) ... d = common difference.... a = first term.

Seven Power Rules

1: When Multiplying, you add the powers.... 2: When Dividing, yo…

Rule

Formula

Substitution

Like Term

A number pattern usedto describe the pattern

When a rule is written using letters or symbols

The pronumeral in a formula is replaced by a number

Same pronumerals

Rule

A number pattern usedto describe the pattern

Formula

When a rule is written using letters or symbols

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…

18 + 35 + 2 = 18 + 2 + 35

5 × 43 × 20 = 5 × 20 × 43

13 + (7 + 25) = (13 + 7) + 25

5 × (20 × 13) = (5 × 20) × 13

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

18 + 35 + 2 = 18 + 2 + 35

commutative property of addition

5 × 43 × 20 = 5 × 20 × 43

commutative property of multiplication

Variable

Constant

Numerical expression

Algebraic expression

Is a letter or symbol used to represent a value that can change

Is a value that does not change

May contain only constants and or operations

May contain variables constants and or operations

Variable

Is a letter or symbol used to represent a value that can change

Constant

Is a value that does not change

Numerical expression

Algebraic expression

Evaluate

Variable

A combination of numbers and operations

A combination of variables numbers and at least one operation

To find the value of an algebraic expression by replacing var…

A symbol usually a letter used to represent a number

Numerical expression

A combination of numbers and operations

Algebraic expression

A combination of variables numbers and at least one operation

Missing number is mixed together with…

Find answers to real life problems.

Equivalent Equations

Undoing

What makes algebra different from arithmetic?

Algebra is used to ________.

Equations that look different but have the same solution are…

The process of subtracting a number to get rid of an addition…

Missing number is mixed together with…

What makes algebra different from arithmetic?

Find answers to real life problems.

Algebra is used to ________.

commutative (property of addition)

commutative (property of multiplication)

associative (property of addition)

associative (property of multiplication)

a + b = b + a

a × b = b × a

(a + b) + c= a + (b + c)

(a × b) × c = a × (b × c)

commutative (property of addition)

a + b = b + a

commutative (property of multiplication)

a × b = b × a

Coeifficient

Variable

Pronumaral

Term

E.g is the letter or symbol beside a number. E.g x is the....…

E.g is the quantity that will change. Eg if x is the variable…

A letter used to represent a number or variable

Is the meaning for a symbol. (2ght = a term)

Coeifficient

E.g is the letter or symbol beside a number. E.g x is the....…

Variable

E.g is the quantity that will change. Eg if x is the variable…

dependent variable

function

independent variable

input

=y (vertical line) a variable that provides the output values…

a relation that assigns exactly one value in the range to eac…

=x (horizontal line) a variable that provides the input value…

a value of the independent variable

dependent variable

=y (vertical line) a variable that provides the output values…

function

a relation that assigns exactly one value in the range to eac…

Rational numbers

Integers

Whole number

Natural numbers

Can be written as a ratio,terminating decimal,repeating decimal

A number that can be positive or negative,or zero,but cannot…

Numbers starting at 0 without a remainder

Positive numbers starting at 0 with ought a remainder and can…

Rational numbers

Can be written as a ratio,terminating decimal,repeating decimal

Integers

A number that can be positive or negative,or zero,but cannot…

Algebra

Integers

Absolute Value

Coordinate Plane

A branch of mathematics that includes the use of variables to…

A set of whole numbers and their opposites

The distance between a number and 0 on the number line (alway…

A plane formed by the x axis and y axis that intersect at the…

Algebra

A branch of mathematics that includes the use of variables to…

Integers

A set of whole numbers and their opposites

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

Identity

Expression

Inequality

Equality

An equation that is true no matter what values are chosen.

Numbers and symbols (such as + and ×) grouped together that s…

This shows you which value is greater or less than the other.

This means that the two values are the same

Identity

An equation that is true no matter what values are chosen.

Expression

Numbers and symbols (such as + and ×) grouped together that s…

Natural Numbers

Whole Numbers

Integers

Real Numbers

1,2,3,4,5,..... (counting numbers)

0,1,2,3,4,5,..... (counting plus 0)

-2, -1, 0, 1 ,2 (positive and negatives)

All the numbers that you know

Natural Numbers

1,2,3,4,5,..... (counting numbers)

Whole Numbers

0,1,2,3,4,5,..... (counting plus 0)

what is the community of property and…

associative property

distributive property

identity property

you can move the numbers around and I addition or multiplicat…

you can move put in or take out parentheses and in addition o…

if you have multiplication on the outside of parentheses you…

anything +0 is The number you added to zero and anything mult…

what is the community of property and…

you can move the numbers around and I addition or multiplicat…

associative property

you can move put in or take out parentheses and in addition o…

integer

element

empty set

union of sets

the name for the set of positive and negative numbers includi…

each object in a set

a set with no elements

the set of elements that appear in any of the given sets

integer

the name for the set of positive and negative numbers includi…

element

each object in a set

additive inverse

associative property

braces

brackets

The opposite (negative) of a number. Any number plus its addi…

Grouping of elements makes no difference in the outcome. This…

Grouping symbols used after the use of brackets; signs { } us…

Grouping symbols [ ], used after the use of parentheses.

additive inverse

The opposite (negative) of a number. Any number plus its addi…

associative property

Grouping of elements makes no difference in the outcome. This…

associative property

real numbers

commutative property

difference

grouping property; (a+b)+c=a+(b+c) or (ab)c=a(bc)

all rational and irrational numbers

order property; a+b=b+a or ab = ba

answer to a subtraction problem

associative property

grouping property; (a+b)+c=a+(b+c) or (ab)c=a(bc)

real numbers

all rational and irrational numbers

Identity (Zero) Property

Commutative Property

Associative Property

addition

- the property that states that the product of any number and…

- the property that states that when the grouping of two fact…

- the property that states that when the grouping of factors/…

- the process of finding the total number of items when two o…

Identity (Zero) Property

- the property that states that the product of any number and…

Commutative Property

- the property that states that when the grouping of two fact…

Additive Identity Property of 0

Associative Property of Addition

Commutative Property of Addition

Distributive Property

Adding zero to a number gives a sum identical to the given nu…

The sum stays the same when the grouping of addends is change…

The sum stays the same when the order of the addends is chang…

When one of the factors of a product is a sum, multiplying ea…

Additive Identity Property of 0

Adding zero to a number gives a sum identical to the given nu…

Associative Property of Addition

The sum stays the same when the grouping of addends is change…

(evaluate the expression)... ( 2+3) x 4 - 2

(evaluate the expression)... Four to the…

(Evaluate the expression) ... Six more th…

(evaluate the expression)... X*+3x+4 when…

18... * 2+3=5... 5x4=20... 20-2=18 *

4*- (3+3)... *=the second power

(8x3) +6

5x5=25... 3x5=15... 25+15+4=44

(evaluate the expression)... ( 2+3) x 4 - 2

18... * 2+3=5... 5x4=20... 20-2=18 *

(evaluate the expression)... Four to the…

4*- (3+3)... *=the second power

sum

product

coefficient

identity

the total of adding numbers

the total of multiplying numbers

the numerical factor of a term that contains a variable

an equation that is true for every value for the variable

sum

the total of adding numbers

product

the total of multiplying numbers

Pronumeral

Coefficient

Constant

Term

A symbol (usually a letter) that takes the place of a numeral.

A number multiplied by a variable in an algebraic expression.

A value that does not change

A number, a variable, or the product of a number and a variable

Pronumeral

A symbol (usually a letter) that takes the place of a numeral.

Coefficient

A number multiplied by a variable in an algebraic expression.

absolute value

acute angle

acute triangle

addend

the distance from the graph of a number to the number 0 on a…

an angle whose measure is between 0 degrees and 90 degrees

a triangle whose largest angle measures between 0 degrees and…

one of two or more numbers that are added to find a sum

absolute value

the distance from the graph of a number to the number 0 on a…

acute angle

an angle whose measure is between 0 degrees and 90 degrees