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Clark S Final Project

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