# Study sets matching "9th grade algebra 1"

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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)

Variable

Variable example:

Algebraic Expression

Algebraic Expression example:

A variable represents an unknown quantity in a math statement.

Joey earns $8 each hour of work. ... e=8h... Unknowns ... e=Earnings ... H…

A mathematical phrase using at least one variable and possibly…

Seven more than the product of a number and three. ... 3x+ 7

Variable

A variable represents an unknown quantity in a math statement.

Variable example:

Joey earns $8 each hour of work. ... e=8h... Unknowns ... e=Earnings ... H…

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)

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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)

Algebraic Expression

Numeric Coefficient

Variable

Three

what is a collection of numbers and letters combined using ari…

what is another name for "numbers?"

in "5y", the "y" is the...?

in "q + 3x + 25" how many terms are there?

Algebraic Expression

what is a collection of numbers and letters combined using ari…

Numeric Coefficient

what is another name for "numbers?"

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…

vertex form of a quadratic function

How to find the a in a vertex form quad…

What does the h and k in a vertical for…

What are the "zeros" of a quadratic equ…

y=a(x-h)^2+k

Plug in the the h, k and the x,y

The h and k stand for the vertex

Where the parabola crosses the x-axis

vertex form of a quadratic function

y=a(x-h)^2+k

How to find the a in a vertex form quad…

Plug in the the h, k and the x,y

An inconsistent system of equations has…

the solution to a system of equations i…

a system of ___________________ lines d…

to eliminate the y terms from the follo…

true

true

parallel

true

An inconsistent system of equations has…

true

the solution to a system of equations i…

true

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…

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…

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…

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…

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…

Difference

Product

Expression

Equation

Subtraction of two values

A value obtained by multiplying two or more numbers

Operations that involve use of numbers and letters with no equ…

Operations that involve use of numbers and letters with an equ…

Difference

Subtraction of two values

Product

A value obtained by multiplying two or more numbers

difference of two squares

Factors

quadratic expression

Zero

two perfect squares separated by a subtraction sign

in an algebraic expression,the of the quantities being multipl…

an equation of the form ax2 + bx + c = 0, where a≠0

the x intercepts of the graph of a function; the points of whi…

difference of two squares

two perfect squares separated by a subtraction sign

Factors

in an algebraic expression,the of the quantities being multipl…

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An inconsistent system of equations has…

the solution to a system of equations i…

a system of ___________________ lines d…

to eliminate the y terms from the follo…

true

true

parallel

true

An inconsistent system of equations has…

true

the solution to a system of equations i…

true

associative (know what associative prop…

Simplify expressions

identity property

commutative (know what commutative prop…

Which property is being illustrated in ... 4x+(6y+18z)= (4x+6y)+1…

...

which property states that the product of any number and one i…

which property is being illustrated in 2f+9s=9s+2f

associative (know what associative prop…

Which property is being illustrated in ... 4x+(6y+18z)= (4x+6y)+1…

Simplify expressions

...