Clark S Final Project

Solving equations resource math year 1 final project

Algebraic Equation- x+3=6 X+5=10 An algebraic equation is an equation that includes one or more variables

Algebraic expression- ,[object Object]

Functions- What is a function? A rule that establishes a relationship between two quantities What is function form? When a function is written so that one of its variables in isolated on one side of the equation.

1-step equation- ADDITION- x + 4 – 4 = -12 –4 x = -16 ? SUBTRACTION- d – 8 + 8 = -15 + 8 d = -7 ? MULTIPLICATION -4c (-4) = 44 (-4) c = -11 ? DEVISION- 8 x f 8 = -4 x 8 f = -32 ? To solve one-step equations use the inverse operation. Addition is the inverse of subtraction and vice versa. Multiplication is the inverse of division and vice versa

2-Step equation- 3h + 4 = 16 Examples- 2c - 7 = 21 k/4 + 9 = 21 m/3 - 5 = 22 2/3b + 7 = 21 3/4p - 4 = 25 If you can solve one-step addition or subtractions equations and one-step division or multpication equations, then you can solve two-step division or multipication equations. Two-Step Equations are actually one-step equations done twice.

Absolute Value- Always a positive number, refers to the distance of a number from 0, the distances are positive. |x + 1| = 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Inequalities- ,[object Object],[object Object],[object Object],Simple steps for solving inequalities- 1.Distribute 2.Combine like terms 3.Move the variable to one side 4.Undo addition or subtraction 5.Undo multiplication or division (if mult. or div. by a neg. change sign)‏ The symbols < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to)

Clark S Final Project

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Clark S Final Project