Lines
Miscellaneous
Factoring
Completing the Square and Quadratics
Solving Equations
100
Define the y-intercept.
The y-intercept is where the line crosses the y-axis.
100
What is 3(x^2+2x-1)?
3x^2+6x-3
100
Name 4 pairs of factors of 72.
36x2 24x3 18x4 12x6 9x8
100
How many terms make up a trinomial?
3
100
What value of x makes this statement true: 3x-7=2
x=3
200
Where does the line y=-3x+6 cross the x axis?
The point (2,0).
200
Define a chord.
A chord is a line segment whose endpoints lie on a circle.
200
Factor 2x+6.
2(x+3)
200
In ax^2 + bx + c = 0, which letter (a,b, or c) do we half and then square to "complete the square"?
b
200
Solve by factoring: x^2 - 4x - 5 =0
x=5,-1
300
Name and define two forms for the equation of a line.
standard form: ax+by=c slope-intercept form: y=mx+b point-slope form: y-y1=m(x-x1)
300
Find the midpoint between the points (3,2) and (5,-2).
(4,0)
300
What is (2x+7)(x-4)
2x^2 - x - 28
300
Name the form of the following equation: y=(x-p)(x-q)
intercept form
300
Solve x^2 - 49 = 0
x=7,-7
400
What is the slope of a line that passes through the points (-1,3) and (2,-2)
m=-5/3
400
What is the slope of a line perpendicular to y=-(2/3)x+1
m=3/2
400
What is (x-1)^2 ?
x^2 - 2x +1
400
Given the equation y= x^2 - 2, name the vertex of the parabola.
(0,-2)
400
Find the intersection of the lines y=2x-3 and y=-x+9.
The point (4,5).
500
Please give the equation for a line which passes through the point (6,-7) with a slope of 1/2.
y+7=(1/2)(x-6)
500
Describe the relationship between the two following lines: line 1: y=2x+4 lines 2: y=2(x-1)+4
Line 2 is shifted one to the right from line 1.
500
Factor x^2+4x+4 into a perfect square.
(x+2)^2
500
Solve by completing the square: x^2 - 6x = 0
x=0, 6
500
Mr.Beck's rectangular pool has a length of 10 feet and an area of 60 feet squared. If he wants to enlarge the pool by 4 feet in length and 6 feet in width, what will be its new area?
168 feet squared.
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