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NC math 1

Algebra 1 covers a wide range of topics and concepts, and there are numerous formulas and equations that are fundamental to the course. Here are some key algebraic formulas and equations typically covered in Algebra 1:

**Linear Equations:**Slope-intercept form of a line: π¦=ππ₯+π

*y*=*mx*+*b*(where π*m*is the slope and π*b*is the y-intercept).Point-slope form of a line: π¦βπ¦1=π(π₯βπ₯1)

*y*β*y*1β=*m*(*x*β*x*1β) (where (π₯1,π¦1)(*x*1β,*y*1β) is a point on the line and π*m*is the slope).Standard form of a linear equation: π΄π₯+π΅π¦=πΆ

*Ax*+*By*=*C*(where π΄*A*, π΅*B*, and πΆ*C*are constants).

**Quadratic Equations:**Standard form of a quadratic equation: ππ₯2+ππ₯+π=0

*ax*2+*bx*+*c*=0 (where π*a*, π*b*, and π*c*are constants and πβ 0*a*ξ =0).Quadratic formula: π₯=βπΒ±π2β4ππ2π

*x*=2*a*β*b*Β±*b*2β4*ac*ββ (used to solve quadratic equations).

**Exponents and Radicals:**Laws of exponents (e.g., ππΓππ=ππ+π

*am*Γ*an*=*am*+*n*, ππππ=ππβπ*anam*β=*am*β*n*, (ππ)π=πππ(*am*)*n*=*amn*, etc.).Simplifying radicals (e.g., ππ=πΓπ

*ab*β=*a*βΓ*b*β, π2=β£πβ£*a*2β=β£*a*β£, etc.).

**Factoring:**Factoring quadratic expressions (e.g., ππ₯2+ππ₯+π

*ax*2+*bx*+*c*can be factored into (ππ₯+π)(ππ₯+π)(*dx*+*e*)(*fx*+*g*) form).Difference of squares: π2βπ2=(πβπ)(π+π)

*a*2β*b*2=(*a*β*b*)(*a*+*b*).Perfect square trinomials: π2+2ππ+π2=(π+π)2

*a*2+2*ab*+*b*2=(*a*+*b*)2, π2β2ππ+π2=(πβπ)2*a*2β2*ab*+*b*2=(*a*β*b*)2.

**Systems of Equations:**Solving systems of linear equations using substitution or elimination methods.

Writing and solving systems of equations from word problems and real-life scenarios.

**Inequalities:**Solving and graphing linear inequalities.

Compound inequalities and absolute value inequalities.

**Functions:**Function notation: π(π₯)

*f*(*x*), π(π₯)*g*(*x*), etc.Evaluating functions and finding function values.

Domain and range of functions.

**Graphing:**Plotting points on the coordinate plane.

Graphing linear equations and inequalities.

Graphing quadratic functions and other basic functions.

These are just a few examples of the formulas and concepts covered in Algebra 1. Depending on the curriculum and standards in your specific course, there may be additional topics and formulas included. It's important to refer to your textbook or curriculum guide for a comprehensive list of formulas and equations relevant to your Algebra 1 course.

Algebra 1 covers a wide range of topics and concepts, and there are numerous formulas and equations that are fundamental to the course. Here are some key algebraic formulas and equations typically covered in Algebra 1:

**Linear Equations:**Slope-intercept form of a line: π¦=ππ₯+π

*y*=*mx*+*b*(where π*m*is the slope and π*b*is the y-intercept).Point-slope form of a line: π¦βπ¦1=π(π₯βπ₯1)

*y*β*y*1β=*m*(*x*β*x*1β) (where (π₯1,π¦1)(*x*1β,*y*1β) is a point on the line and π*m*is the slope).Standard form of a linear equation: π΄π₯+π΅π¦=πΆ

*Ax*+*By*=*C*(where π΄*A*, π΅*B*, and πΆ*C*are constants).

**Quadratic Equations:**Standard form of a quadratic equation: ππ₯2+ππ₯+π=0

*ax*2+*bx*+*c*=0 (where π*a*, π*b*, and π*c*are constants and πβ 0*a*ξ =0).Quadratic formula: π₯=βπΒ±π2β4ππ2π

*x*=2*a*β*b*Β±*b*2β4*ac*ββ (used to solve quadratic equations).

**Exponents and Radicals:**Laws of exponents (e.g., ππΓππ=ππ+π

*am*Γ*an*=*am*+*n*, ππππ=ππβπ*anam*β=*am*β*n*, (ππ)π=πππ(*am*)*n*=*amn*, etc.).Simplifying radicals (e.g., ππ=πΓπ

*ab*β=*a*βΓ*b*β, π2=β£πβ£*a*2β=β£*a*β£, etc.).

**Factoring:**Factoring quadratic expressions (e.g., ππ₯2+ππ₯+π

*ax*2+*bx*+*c*can be factored into (ππ₯+π)(ππ₯+π)(*dx*+*e*)(*fx*+*g*) form).Difference of squares: π2βπ2=(πβπ)(π+π)

*a*2β*b*2=(*a*β*b*)(*a*+*b*).Perfect square trinomials: π2+2ππ+π2=(π+π)2

*a*2+2*ab*+*b*2=(*a*+*b*)2, π2β2ππ+π2=(πβπ)2*a*2β2*ab*+*b*2=(*a*β*b*)2.

**Systems of Equations:**Solving systems of linear equations using substitution or elimination methods.

Writing and solving systems of equations from word problems and real-life scenarios.

**Inequalities:**Solving and graphing linear inequalities.

Compound inequalities and absolute value inequalities.

**Functions:**Function notation: π(π₯)

*f*(*x*), π(π₯)*g*(*x*), etc.Evaluating functions and finding function values.

Domain and range of functions.

**Graphing:**Plotting points on the coordinate plane.

Graphing linear equations and inequalities.

Graphing quadratic functions and other basic functions.

These are just a few examples of the formulas and concepts covered in Algebra 1. Depending on the curriculum and standards in your specific course, there may be additional topics and formulas included. It's important to refer to your textbook or curriculum guide for a comprehensive list of formulas and equations relevant to your Algebra 1 course.

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Chapter 3 Listening Comprehension and Improving Listening Comprehension Strategies

Note

Studied by 52 people

5.0(1)

Chapter 11: E-mail and Social Media Investigations

Note

Studied by 49 people

5.0(1)

Ch 29 - Measuring Economic Progress

Note

Studied by 12 people

5.0(1)

Case Maria (Natra)

Note

Studied by 182 people

5.0(1)

6.1.1: the progressive era

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Studied by 9 people

4.0(1)

Trade Routes: 1200-1450

Note

Studied by 850 people

5.0(1)