Yati, Manaw, Ruching brain storm :] by Manaw Zin

Defining:

2023-12-06 03:35:50 UTC

Expression: A mathematical phrase that can contain numbers, variables, and operators.

Term: a constant or a variable in an expression. which are separated by + and - signs.

Coefficient: The number in front of a variable.

Like terms: numbers with the same base or variables and the same exponent.

simplifying expression

zinmanaw — 2023-12-06 03:37:22 UTC

when simplifying expressions you have to combine like terms

exapmles:

1x + 19x - 3h + 6h

= 20x +3h

Simplifying Expressions

2023-12-06 03:37:26 UTC

13(for example) is a number

15x, x is a variable

-3.5x+4a+12y= expression

Topic colors

2023-12-06 03:39:09 UTC

Simplifying expressions: 🟢

Distributive property: 🔴

Equations with variables on both sides: 🟣

Different step equations: 🟡

Special cases equations: 🔵

Simplifying expression with distributive property

zinmanaw — 2023-12-06 03:42:45 UTC

when simplifying expression with distributive property, you have ti multiply each term outside the parentheses by the number inside.

examples:

-8(4y + 5)

= -32y - 40

Distributive property

2023-12-06 03:43:11 UTC

Multiplying each term outside the "(-)" by the number inside.

E.g: 2(3g-7) = 6g-14

Equations with variables on both sides

2023-12-06 03:43:38 UTC

Starts by subtracting or adding the coefficient depending on the number. Subtract if number is positive and add if negative. Subtract it by any coefficient. One coefficient should get cancelled from this.

Then add or substance the number (not the variable) from both sides.

This should end you up with a variable that equals to a number.

Example:

7n - 7 = 2n + 23

5n - 7 = 23

5n = 30

N = 6

Parts of an equation!

2023-12-06 03:48:40 UTC

One step equation

zinmanaw — 2023-12-06 03:49:15 UTC

when you do a one step equation you have to isolate the variable by using inverse, or opposite operation. one step equation is when you only need one step to solve an equation

example:

2x = 6

x = 3

Equations with special cases

2023-12-06 03:50:40 UTC

In this topic includes:

One solution, no solution and all real numbers

One solution:

This means that there’s only 1 solution to the problem.

No solution:

Means that there’s no solution into solving the problem.

All real numbers:

That means the numbers are equal to each other. Like if it ends up with something like this : -13=-13

two step equation

zinmanaw — 2023-12-06 03:53:49 UTC

when you do two step equation you have to first add or subtract to remove constant. then you have to multiply or divide to remove coefficient.

example:

7m - 17 = 60. ( add 17 to 60)

7m = 77. ( divide by 7 to both sides)

m= 11

Multi-step equations

2023-12-06 03:54:43 UTC

If possible and/or necessary, combine like terms on the same side of the equation first. Then we'll isolate the variable to solve the equation.

E.g:

-14=7w+2w+8.5

-14=9w+8.5 (combining like terms)

-22.5=9w (divide -22.5 by 9)

w= -2.5 (isolate the variable to solve the equation)

Equations with variables on both sides

2023-12-06 03:56:35 UTC

More Examples:

8x - 7 = 4x + 21

4x -7 = 21

4x = 28

X = 7

-11x + 9 = -2x + 45

-9x + 9 = 45

-9x = 36

X = -4

Equation with variables on both side examples

zinmanaw — 2023-12-06 04:03:37 UTC

equation with special cases

zinmanaw — 2023-12-06 04:14:55 UTC

One solution - Variable = number

Example:

2( ) = -10

No solution - LHS (left hand side) is not equal to RHS (right hand side)

Example:

( ) - 7 = ( ) + 7

Multiple solution - LHS (consant) = RHS (consant)

Example:

2 + ( ) = 2 + ( )