Ch 2: Triangles
Ch 3: Probability
Ch 4: Trig
Ch 5: Quadratics
Theorems & Definitions
100
Find the missing angles: a, b, and c.
<a= 58°
<b= 48°
<c= 74°
100
Using this area model, what is the probability of having brown eyes and blonde hair?
0.36
100
Regular trigonometry solves for missing _________.
Inverse trigonometry solves for missing _________.
Regular - missing sides
Inverse - missing angles
100
Simplify:
(3-2i)(2+7i) and
\sqrt(-32
(3-2i)(2+7i) = 20+17i
and
\sqrt(-32) = +-4i\sqrt2
100
What does Triangle Angle Sum Theorem state?
All angles in a triangle add to 180°.
200
Find x and state the relationships you used to solve it.
Vertical angles, then corresponding angles, then they create a linear pair with 20°.
x=32.5
200
Draw an area model representing the probabilities of having brown eyes and brown hair.
The probability of having brown eyes is 0.45.
The probability of having brown hair is 0.20.
200
DAILY DOUBLE!!
Find the x-intercept and the vertex of this equation:
y=x^2+4x-45
vertex= (-2, -49)
x-intercepts: (-9, 0) and (5, 0)
200
Factor the quadratic using X-Box Method.
1+2x^2+3x
= (2x+1)(x+1)
200
What does SOH CAH TOA stand for?
Write the fractions too!
Sin(x)=(O)/H
cos(x)=(A)/H
Tan(x)=(O)/A
300
Are the triangles similar or congruent? By what theorem? 
They are congruent by ASA.
300
There are 20 marbles, 2 of them are red, 6 of them are blue, and the rest are others.
What’s the probability of pulling a red marble in the first pick and a color that’s not red or blue in the second pick.
3/50
300
Solve for the missing side, x.
x=16.17
300
Solve the equation using Zero Product Property.
x^2-28x=60
x=-2 and x=30
300
What is the Addition Rule in probabilities?
P(A)+P(B)-P(A and B)
400
If 2 triangles, ABC and DEF, are congruent, how do I prove that
AB \congDE
By CPCTC =
corresponding parts of congruent triangles are congruent.
400
What’s the probability of Becca having a girl and 2 boys, order doesn’t matter.
3/8
400
Find sides a and c.
Hint: you may not need to use trig twice
c = 14
a = 12.12
400
Solve by Completing the Square.
x^2+12x+32=0
x=-4 and x=-8
400
What are the 2 special cases in factoring? List the name and the formula it follows.
Difference of Squares:
u^2-w^2=(u+w)(u-w)
Perfect Square Trinomial:
u^2+2uw+w^2=(u+w)^2
500
Solve for the missing side lengths a and b.
a=(7)/5
b=10
500
What is the value of x if the Expected Value equals 5 and the slice with $3.00 is 1/8.
x=$14.50
500
Find angles x and y.
Hint: You may not need to use inverse trig twice.
x= 36.57°
y= 53.43°
500
Solve this equation using Quadratic Formula.
x^2+4x+5=0
x=-2+-i
500
Write the Quadratic Formula.
x=(-b +- sqrt(b^2-4ac))/(2a)