Vocab & Formulas
Factoring
Segments
Angles
Random Solving
100
What is the slope formula?
m=(y2-y1)/(x2-x1)
100
Factor the following expression:
x^2-11x+19=5
(x+3)(x-8)
100
What is a segment bisector?
a line, segment, or a ray that intersects a segment at its midpoint; a bisector divides a segment into two congruent parts
100
What type of angles are shown in the picture below, and what is their relationship?
Linear pair
They are supplementary
100
Simplify the radical below:
sqrt96
4sqrt6
200
a) What are parallel lines?
b) How do we know lines are parallel?
a) Lines that never touch/intersect on the coordinate plane
b) Parallel lines have the same slope
200
Solve the following equation:
3x^2+6x-24
x=2, x=-4
200
Are the following lines parallel, perpendicular, or neither? How do you know?
f(x)=4/5 x-6
g(x)=-5/4 x-7
They are perpendicular because they have opposite reciprocal slopes
200
Name the two pairs of vertical angles in the diagram below:
<DAC=<BAE
<DAB=<CAE
200
In the diagram below, AC bisects DE at B. If BC=(5x-11)in, DB=(4x+4)in, AB=(x+17)in and BE=(8x-12)in. Find the length of AC.
AC=30 inches
300
What is the distance formula?
d=sqrt((x2-x1)^2+(y2-y1)^2)
300
Fully factor the following equation:
y=2x^2-7x-4
(2x+1)(x-4)
300
Find the length of MK using the diagram below:
MK=16 units
300
If <ABC and <DEF are complementary angles, and <ABC=x+4 and <DEF=3x+2, find the measure of <DEF.
<DEF=65
300
In the figure below, F is the midpoint of GH. GH=60. Also point B is the midpoint of GF. What is the length of BH?
BH=45 units
400
What is a vertex?
Point in common to both line segments or rays in an angle; it is the middle letter when naming angles
400
If x=a and x=b are the solutions of the function below, and a<b, find the value of b
f(x)=x^2-2x-15
b=5
400
The segment AB has endpoints A(-10,-5) and B(0,-15). Determine half the length of AB.
AB=5sqrt2
400
What is the product of x and y in the diagram below?
1400
400
Write the equation of the perpendicular bisector, in point-slope form, of the line MN with M(-7,1) and N(1,-5).
y+2=4/3 (x+3)
500
What are corresponding angles?
Angles that are in the same position on parallel lines
500
Fully factor the function below:
36x^4-100x^2
4x^2(3x+5)(3x-5)
500
Points A, B, and P are collinear, where B is the midpoint and A and P are the endpoints. Determine the length of AB using the information given:
AP=x^2-9 and BP=4x
AB=36 units
500
If MK bisects <JKN, <JKN=5x+70, <JKM=x+50, find <NKL using the diagram below.
<NKL=60
500
The length of a rectangle is 2x inches, the width is (x-3) inches and the area is 20 square inches. Determine perimeter of the rectangle.
Perimeter=24 inches