# Study sets matching "9th grade algebra 1"

Commutative property

Associative property

Identity property

Inverse property

a+b=b+a... ab=ba

(a+b)+c=a+(b+c)... (ab)c=a(bc)

a+0=a... ax1=a... 0+5=5... pi+0=pi... 2+0=2... -7/4+0=-7/4

a+(-a)=0... a(1/a)=1... 17+(-17)=0

Commutative property

a+b=b+a... ab=ba

Associative property

(a+b)+c=a+(b+c)... (ab)c=a(bc)

real numbers

Irrational numbers

integers

Rational numbers

A number that is rational or irrational

non-terminating and non-repeating decimals. (Pi & 0.956373290)

{....-3,-2,-1,0,1,2,3....}

any number that can be written as a fraction x/y where x and y…

real numbers

A number that is rational or irrational

Irrational numbers

non-terminating and non-repeating decimals. (Pi & 0.956373290)

distributive property

like terms

add coefficients

formula

allows each term in the parenthesis to be multiplied by the co…

are those terms that have the same variables and the same expo…

to combine like terms you__________

a rule expressed in the terms of algebraic variables

distributive property

allows each term in the parenthesis to be multiplied by the co…

like terms

are those terms that have the same variables and the same expo…

Reflexive Property

Symmetric property

Additive identity

Additive inverse

Any quantity is equal to itself. Example: 4+7=4+7

If one quantity equals a second quantity then the second quant…

Any number added to 0 equals itself.

A number and its opposite are additive inverses of each other…

Reflexive Property

Any quantity is equal to itself. Example: 4+7=4+7

Symmetric property

If one quantity equals a second quantity then the second quant…

real numbers

Irrational numbers

integers

Rational numbers

A number that is rational or irrational

non-terminating and non-repeating decimals. (Pi & 0.956373290)

{....-3,-2,-1,0,1,2,3....}

any number that can be written as a fraction x/y where x and y…

real numbers

A number that is rational or irrational

Irrational numbers

non-terminating and non-repeating decimals. (Pi & 0.956373290)

What is a perfect square?

What are rational numbers?

What are irrational numbers?

Is 1.41421356237... a rational number?

A normal number that is multiplied by itself. Ex: 4x4=16

Fractions, regular numbers (1,2,3 etc.), terminating decimals…

A number with a decimal that goes on forever without repeating.

No

What is a perfect square?

A normal number that is multiplied by itself. Ex: 4x4=16

What are rational numbers?

Fractions, regular numbers (1,2,3 etc.), terminating decimals…

Dependent quantity

Independent quantity

Relation

Domain

When one quantity depends on another in a problem situation, i…

The quantity that the dependent quantity depends on is the ind…

Is a mapping between a set of input values

The set of all input values of a relation

Dependent quantity

When one quantity depends on another in a problem situation, i…

Independent quantity

The quantity that the dependent quantity depends on is the ind…

Varible

Algebraic expression

Power

Base

Is a letter used to represent one or more numbers.

An expression that includes at least one variable.

An expression that represents repeated multiplication of the s…

Written in a form using two numbers.

Varible

Is a letter used to represent one or more numbers.

Algebraic expression

An expression that includes at least one variable.

Rate of Change

Slope (m)

Slope formula

Linear function

How quantity is changing with respect to achange in anither qu…

The ratio of the change in the y coordinate (rise) to the corr…

M= y2-y1/x2-x1 ... change in y/change in x

A function with ordered pairs that satisfy a linear equation

Rate of Change

How quantity is changing with respect to achange in anither qu…

Slope (m)

The ratio of the change in the y coordinate (rise) to the corr…

A __________ produces an image by apply…

What are the types of translations?

A translations moves a figure either __…

A vertical stretch moves every point in…

Transformation

1. Translations ... 2. Vertical Shrinks ... 3. Vertical Stretches ... 4…

Horizontally or vertically

Away

A __________ produces an image by apply…

Transformation

What are the types of translations?

1. Translations ... 2. Vertical Shrinks ... 3. Vertical Stretches ... 4…

Product of Powers

Power of a Power

Power of a Product

Quotient of Powers

when multiplying like bases add the exponents ( a2 )(a3) = a5

When an exponent is raised to a power, multiply all exponents.…

distribute the exponent, then add the exponent if possible, an…

when dividing like bases subtract the exponents

Product of Powers

when multiplying like bases add the exponents ( a2 )(a3) = a5

Power of a Power

When an exponent is raised to a power, multiply all exponents.…

consistent

Independent

Dependent

Inconsistent

A system of equations that has at least one solution

A system of equations with exactly one solution.

A system of equations that has an infinate # of solutions

A system of equations with no ordered pair that satisfy both e…

consistent

A system of equations that has at least one solution

Independent

A system of equations with exactly one solution.

Non-linear equations in two variables.

Systems of linear of equations in two v…

The graphing method.

The Elimination Method.

Equation whose graph does not form a straight line is called a…

In the system of equations in two variables if at least one eq…

Consider the system with equations.... Equations is a circle with…

To solve the system of nonlinear equations we the same steps w…

Non-linear equations in two variables.

Equation whose graph does not form a straight line is called a…

Systems of linear of equations in two v…

In the system of equations in two variables if at least one eq…

maximum

parabola

input

x-intercept

the largest value in the range of a function or data set

a particular kind of mathematical curve-the graph of a quadatr…

the value put into a function

the points where a graph intersects the x-axis

maximum

the largest value in the range of a function or data set

parabola

a particular kind of mathematical curve-the graph of a quadatr…

What does Distributive Property mean?

What does Algebraic Properties mean?

Commutative Property of Addition

Associative Property of Addition

Multiply the numbers inside the (parenthesis) by the numbers o…

An algebraic equation is an equation that includes one or more…

Swap or move numbers and the answer stays the same.

It doesn't matter how you ''group'' numbers.

What does Distributive Property mean?

Multiply the numbers inside the (parenthesis) by the numbers o…

What does Algebraic Properties mean?

An algebraic equation is an equation that includes one or more…

Distributive Property

Identity Property

Integers

Probability

- If you multiply a sum by a number, you will... get the same res…

Has 2 parts. The sum of any number and Zero... is that number. Th…

the set of positive whole numbers, negative whole... numbers and…

a number from 0 to 1 that tells how likely an event is... to happ…

Distributive Property

- If you multiply a sum by a number, you will... get the same res…

Identity Property

Has 2 parts. The sum of any number and Zero... is that number. Th…

a letter or symbol used to represent a…

a value that does not change

a mathematical statement that two expre…

contains only constants and operations

variable

constant

equation

numerical expression

a letter or symbol used to represent a…

variable

a value that does not change

constant

____________ is a number, a variable, o…

The _________ of a monomial is the sum…

Find the degree: 4x - 18x(5th power)

A number with a degree of 0 is called a…

Monomial

Degree

5

Constant

____________ is a number, a variable, o…

Monomial

The _________ of a monomial is the sum…

Degree

What is the definition of a Relation?

What is the definition of a Function?

Is this a function: (0,3)(1,5)(2,7)(3,9…

What does domain mean?

Just a relationship between sets of information. The two quali…

Each input has exactly one output

Yes, because each input has its own individual output

X-values, inputs, independent variable

What is the definition of a Relation?

Just a relationship between sets of information. The two quali…

What is the definition of a Function?

Each input has exactly one output