 Term- number or product of a number and a variable  Constant- term with no variable  Coefficient- number that multiplies to a variable  Like Terms- identical variables

 Simplifying expressions- replacing with equivalent expression that has as few terms as possible  Ex: 2x x = 5x + 4  Ex: 3a a - 1 = 7a + 1

 Equations – math sentence with an equal sign  Open sentence – equation with one or more variables  You can check an equation by substituting your answer back into the equation

 Ex: x = 200, is the solution 30?  (30) = 200, yes  Ex: 8 + r = 2r, is the solution 1?  = 2 * 1  9 ≠ 2, no

 Remember the Integer Rules:  Same signs add  Two negatives together becomes a positive  Ex: 5 – (-3) = 8  Different signs subtract  Keep the sign of the larger number

 Do the inverse operations  Ex: x + 6 = 4   X = -2

 Ex: a + 8 = 3  -8 = -8  a = -5

 C + (-4) = = +4 c = -1

 Remember the Integer Rules:  Positive times Positive = Positive  Positive times Negative = Negative  Negative times Negative = Positive  The same rules apply for dividing!!

 Do the inverse operation  Ex: 4x = 84  4 4  x = 21

 Ex: -3b = b = -8

 Ex: x = -3  -9  (-9) x = -3 (-9)  1 -9  x = 27

 Ex: a = 54  6  (6) a = 54 (6) 1 6 a = 324

 Inequality is a math sentence that contains:, ≤, ≥, =, ≠

 Closed dot shown the # is a solution  Ex: x ≥ -2 

 Open dot shows that the # isn’t a solution  Ex: x < 2 

 Solving inequalities is the same as solving equations  Don’t forget the integer rules!!  Do the inverse operation

Addition and Subtraction

 Rules for Adding/Subtracting:  Same signs add  Different signs subtract  (keep sign of larger #)

 M – 13 > 29   M > 42  N + 8 ≥ 19   N ≥ 11

Multiplication and Division

 Rules for Multiplying/Dividing with Integers:  Negative x negative = positive  Positive x negative = negative  Same for dividing

 New Rules for Multiplying and Dividing Inequalites:  Multiply or divide each side of the inequality by a POSITIVE number leave the symbol unchanged  Multiply or divide each side of the inequality by a NEGATIVE number then symbol reverses

 4x > 40 (divide to solve)  4 4  X > 10 (sign stays unchanged)  T ≤ 7 (multiply to solve) -4  (-4) T≤ 7 (-4)   T ≥ -28 (sign reverses)