2.  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

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

4.  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

5.  Ex: 170 + x = 200, is the solution 30?  170 + (30) = 200, yes  Ex: 8 + r = 2r, is the solution 1?  8 + 1 = 2 * 1  9 ≠ 2, no

6.  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

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

9.  Ex: a + 8 = 3  -8 = -8  a = -5

10.  C + (-4) = -5 +4 = +4 c = -1

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

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

14.  Ex: -3b = 24 -3 -3 b = -8

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

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

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

19.  Closed dot shown the # is a solution  Ex: x ≥ -2  -3 -2 -1 0 1 2 3

20.  Open dot shows that the # isn’t a solution  Ex: x < 2  -4 -3 -2 -1 0 1 2 3 4

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

22. Addition and Subtraction

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

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

25. Multiplication and Division

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

27.  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

28.  4x > 40 (divide to solve)  4 4  X > 10 (sign stays unchanged)  T ≤ 7 (multiply to solve) -4  (-4) T≤ 7 (-4)  1 -4 1  T ≥ -28 (sign reverses)