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# Clark S Final Project

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### Clark S Final Project

1. 1. Solving equations resource math year 1 final project
2. 2. Algebraic Equation- x+3=6 X+5=10 An algebraic equation is an equation that includes one or more variables
3. 3. Algebraic expression- <ul><li>An algebraic expression is made up of the signs and symbols of algebra. </li></ul>
4. 4. 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.
5. 5. 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
6. 6. 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.
7. 7. Absolute Value- Always a positive number, refers to the distance of a number from 0, the distances are positive. |x + 1|  =  2 <ul><li>Distribute </li></ul><ul><li>Combine Like Terms </li></ul><ul><li>Move Variable to One Side </li></ul><ul><li>Undo + or – </li></ul><ul><li>Undo × or ÷ </li></ul><ul><li>Undo addition or subtraction outside of absolute value. </li></ul><ul><li>Undo multiplication or division outside of absolute value. </li></ul><ul><li>Set expression inside absolute value equal to the given value and its opposite. </li></ul><ul><li>Solve for variable using steps for solving equations. </li></ul>
8. 8. Inequalities- <ul><li>Solve and graph each inequality. </li></ul><ul><li>2x + 1 > 13 </li></ul><ul><li>15 > 6 – 3x </li></ul>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)