An algebraic expression is made up of the signs and symbols of algebra.
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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.
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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
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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.
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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.
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)
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