# Algebra 1

Algebra 1 takes through the basics of indices and exponents, functions, relations, theory of equations, algebraic expressions, quadratic equations and factorization methods.

## Algebra 1 Formulas

Algebra basics formula helps in speeding up the calculation part. Some of the algebra formula include:

(a+b)^{2 }= a^{2 }+ b^{2} + 2ab

(a-b)^{2 }= a^{2 }+ b^{2 }- 2ab

(a+b)^{3} = a^{3} +b^{3 }+ 3ab (a+b)

(a-b)^{3 }= a^{3 }- b^{3 }- 3ab (a-b)
## Algebra 1 Topics

**Choose your Algebra 1 topics below:**

Chapter 1: Algebra basics

Chapter 2:Linear Functions

Chapter 3: Inequalities

Chapter 4: Systems of Equations

Chapter 5: Polynomials

Chapter 6: Exponents

Chapter 7: Radicals

Chapter 8: Lines

Chapter 9 Quadratic Equations

Chapter 10: Complex Numbers

Chapter 11: Algebraic Fractions (Rational Functions)

## Algebra 1 Problems

Below you could see examples

### Solved Examples

**Question 1: **solve for x,

x -

$\frac{1}{2}$ = 2

** Solution: **
Given: x - $\frac{1}{2}$ = 2

Take $\frac{1}{2}$ on both sides

x = 2 + $\frac{1}{2}$

x = $\frac{5}{2}$

**Question 2: **Factorize, x

^{2} + 5x + 6 = 0

** Solution: **
Given: x^{2} + 5x + 6 = 0

x^{2} + 3x + 2x +6 = 0

x(x + 3) + 2( x + 3) = 0

(x + 3) (x + 2) = 0

x = -3

x = -2

## Algebra 1 Homework Help

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## Algebra 1 Practice

**Some questions for practice:** ### Practice Problems

**Question 1: **Solve for x,

3x - 9 = 18.

**Question 2: **Factorize x^{2} - 5x + 6 = 0

**Question 3: **Solve the system of equations:

2x - 5y = 4

3x - 2y = -1.