Polynomials and Factoring
Rewrite each using distribution:
2 x( x - 3)
2x2-6x
What is the distance formula?
d= sqrt (x2-x1)2 + (y2-y1)2
What is the slope-intercept formula?
y=mx+b
What are the two methods to solve systems of equations?
Substitution and elimination
What coefficient is always in front of a variable ?
1
Distribute and combine like terms.
x - 5x(7 - x)
-34x - 5x2 OR -5x2 - 34x
Negative reciprocal
What is the format of a quadratic function?
ax2+bx+c
Micah has 4 more pencils than he has erasers. If he has a total of 42 pencils and erasers, how many pencils does he have?
23 pencils
How do you write a coordinate?
(x,y)
Multiply and combine like terms.
(7 + x)(7 - x)
-x2+49 OR 49-x2
Find the midpoint of (8, -2) and (4, -5)
(6, -3.5) OR (6, -7/2)
What are the 3 different ways to find slope?
Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight, in pounds, of the smaller dog?
5.6 pounds
What button(s) do you press on the calculator to find the point of intersection of two graphs?
2nd, trace, intersect
Rewrite by factoring the GCF:
2x2 - 30x
2x(x - 15)
Which lines are parallel?
a. 2x-3y=7
b. 2x+3y=7
c. y=2/3x-7
What is the standard form of a linear equation?
ax+by=c
Solve for x in the following system of equations:
2x-y=4
3x-5y=8
x = 12/7 OR 1.714
The maximum/minimum of a quadratic is also called the what?
Vertex
Factor x2 +4x -5
(x-1)(x+5)
What is the equation of a line perpendicular to 5x - y = 7 through the point (9,1) ?
y= -1/5x + 14/5
What is the recursive formula of an arithmetic sequence?
an = an-1 + d
Where would the graphs of the two equations below intersect?
y=4x-3
3x-2y=-9
(3,9)
What drink does Ms. Arnold bring to school every single day?
Red Bull