What is the number in front of a variable called?
Ex: the 5 in 5xy
COEFFICIENT
Simplify:
42 + 82 + 4/2
82
In the following, what is the slope and y-intercept?
y + (1/2)x = - 6
slope = -1/2
y-intercept = -6
Factor:
9m4n5 - 27m2n3 + 81m3n5
9m2n3 (m2n2 - 3 + 9mn2)
For quadratics, which form of solving ALWAYS works?
Square Root Method, X-game, Factor by Grouping, or Quadratic Formula
Quadratic Formula
For a quadratic function, (h, k) are the coordinates of the _________?
VERTEX
Simplify:
(-5x2y3z-2)(3x4y-1z5)
-15x6y2z3
Put this equation in slope-intercept form:
12x - 3y = 15
y = 4x - 5
Factor:
x2 - 121
(x + 11)(x - 11)
Simplify:
-2√ -169
-26i
What is the name for the shape of the graph of a quadratic function and what letter in the alphabet does it resemble?
PARABOLA and the letter U
Simplify:
(-3x + 4)2
9x2 - 24x + 16
What is the slope of the line that goes through the points:
(2, -3) and (5, -4)
-1/3
Factor:
x2 + 2x - 15
(x - 3)(x + 5)
If f(x) = x2 - 3x and g(x) = (x - 2), find f(g(x)).
x2 - 7x + 10
What term describes the distance a number is from 0 on the number line?
ABSOLUTE VALUE
Simplify:
10 - ((23 + 4) / 3) - 1
5
At what point (x, y) do the following lines intersect on a graph?
y = -2x + 6
3y - x = -3
(3, 0)
Factor:
2x2 - 13x - 7
(2x + 1)(x - 7)
5x - 6y = -32
3x + 6y = 48
(2, 7)
What is the term for a mathematical phrase that can contain numbers, variables, and operators, and which you can simplify using Order of Operations?
An EXPRESSION
Simplify:
(3x - 5)2 - 5x2 - 5
4x2 - 30x + 20
If f(x) = -3(x - 1)2 - 4, find f(-7).
-196
Factor:
8x2 - 50y2
2(2x + 5y)(2x - 5y)
f(x) = -3(x + 2)2 - 1
x = -2