Practice Algebra i

Introduction to practice algebra i Introduction:

Algebra i follows the rules of arithmetic in which letters representing numbers. The numbers are the constants. Practice of Algebra  i includes matrices, real and complex numbers etc. When we move from Arithmetic to Algebra i we will look something like this:  Arithmetic: 7 +5 = 7 + 5 .in Algebra: 2x + 2y = 5y. Practice Algebra i includes addition, subtraction, multiplication, division operations with variables and numbers following rules according to arithmetic.

Important formulas for practice algebra i :


Commutative property of addition: a + b = b + a
Associative property of addition: (a + b) + c = a + (b + c)
Commutative property of multiplication: a × b = b × a
Distributive property: a(b + c) = ab + ac


Definitions of trigonometric functions:

Sine = `a/c`  Cosine = `b/c`  Tangent = `a/b`

Is this topic Acute Obtuse Angles hard for you? Watch out for my coming posts.

Examples for practice algebra i:


Pro 1:Solve the following system of equations
`-x/2 + y/3 = 0`
x + 6y = 16

Solution:We first multiply all elements of the first equation by the LCM of 2 and 3 which is 6.
6(`-x/2 + y/3 = 0` ) = 6(0)
x + 6y = 16
We then solve the following equivalent system of equations.
-3x + 2y = 0
x + 6y = 16
which gives the solution
x = `8/5 `  and y = `12/5 `

Pro 2: Solve 3x2 + 5x = -1 for x in algebra equation.

Solution:First determine a, b, and c.

3x2 + 5x + 1 = 0

a = 3

b = 5

c = 1

Plug the values you found for a, b, and c into the

Quadratic formula

x     = `( (-5) +- sqrt(5^2 - 4 *3*1))/(2*3)`
Perform any indicated operations.
x     = `( (-5) +- sqrt(25 -12))/(6)`   = x     = `( (-5) +- sqrt(13))/(6)`
The solutions are as follows:
x     = `( (-5) - sqrt(13))/(6)`    or x     = `( (-5) + sqrt(13))/(6)`