2x + 5 = -19
2x + 5 = -19
2x = -24
x = -12
Factor: a2 - 49
(a + 7)(a - 7)
What is the Order of Operations and what is the weird rule exception?
PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
Multiplication and Division LEFT TO RIGHT
Addition and Subtraction LEFT TO RIGHT
Find the Vertex
Vertex (1, -4)
Simplify: (3x5y10z2)3
27x15y30z6
3 (x - 5) = 5 (x + 2) + 3x
3x - 15 = 5x + 10 + 3x
3x - 15 = 8x + 10
-15 = 5x + 10
-25 = 5x
-5 = x
Find the Slope of the line with the points
(0, 1) and (3, -2)
-2 - 1/ 3 - 0 = -3 / 3 = -1
m = (y2-y1)/(x2-x1)
In the following equation, what is the slope and what is the y intercept?
y = 5x - 2/3
m = 5
b = -2/3
What Math Property is Shown Below:
2 (x +7) = (x + 7) 2
Commutative of Multiplication
What was in the GROUPS did not change... not Associative
(18m^4n^6)/(9mn)
2m^3n^5
Find x and y: x - 2y = 8
x = 5 - y
Hint: Use Substitution
(6, -1)
(7h2 + 8hj + 2j2) - (10h2 - 2hj)
-3h2 + 10hj + 2j2
Factor: x2 + 8x + 16
(x + 4)(x + 4)
OR
(x + 4)2
What is the equation of this line?
y = -2x + 4
Simplify: (2y - 8)(y2 + 6y - 9)
2y3 + 12 y2 - 18y - 8y2 - 48y + 72
2y3 + 4y2 - 66y + 72
What Property is Shown:
2x(1) = 2x
Multiplicative Identity
A horizontal line on a graph has what kind of slope?
Zero slope
Find the roots for the graph:
(-1, 0) and (3, 0)
Factor Completely: x4 - 81
(x2 - 9)(x2 + 9)
(x - 3)(x + 3)(x2 + 9)
Simplify: (2x3y5z)(8x6z4)
16x9y5z5
Solve for x and y: 6x + 3y = 12
9x + 6y = 15
Hint: Use Elimination
(3, -2)
Factor: 2x2 - 5x - 3
2x2 - 6x + 1x - 3
(2x2 -6x)(1x - 3)
2x (x - 3) + 1 (x - 3)
(2x + 1) (x - 3)
How do you know if a parabola is a smiley face or a frownie face?
Smiley x2 is positive
Frownie x2 is negative
What is the Axis of Symmetry:
x = 1
Factor: 8x (2x -1) - 5 (2x - 1)
(8x - 5)(2x - 1)