Term- number or product of a number and a variable Constant- term with no variable Coefficient-...
-
Upload
nelson-simmons -
Category
Documents
-
view
212 -
download
0
Transcript of Term- number or product of a number and a variable Constant- term with no variable Coefficient-...
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 + 4 + 3x = 5x + 4 Ex: 3a + 2 + 4a - 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: 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
Remember the Integer Rules:Same signs addTwo 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 -6 -6 X = -2
Ex: a + 8 = 3-8 = -8 a = -5
C + (-4) = -5 +4 = +4 c = -1
Remember the Integer Rules:Positive times Positive = PositivePositive times Negative =
NegativeNegative times Negative =
Positive
The same rules apply for dividing!!
Do the inverse operation
Ex: 4x = 84 4 4 x = 21
Ex: -3b = 24 -3 -3 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
-3 -2 -1 0 1 2 3
Open dot shows that the # isn’t a solution
Ex: x < 2
-4 -3 -2 -1 0 1 2 3 4
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 addDifferent signs subtract
(keep sign of larger #)
M – 13 > 29 +13 +13
M > 42
N + 8 ≥ 19 -8 -8 N ≥ 11
Multiplication and Division
Rules for Multiplying/Dividing with Integers:Negative x negative = positivePositive x negative = negativeSame 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) 1 -4 1 T ≥ -28 (sign reverses)