Triangles
Solving Word Probs
Transformations & Number Theory
Simplifying Equations
100
The acronym to figure out what sides to use for sin/cos/tan
What is Soh-Cah-Toa?
100
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Hint: Create two equations and solve
What is $8 for a senior citizen ticket?
What is $14 for a child ticket?
100
Describe a series of two transformations that results in the same as a reflection over the x-axis. Hint: You need a reflection and a rotation
What are: rotating 180 degrees and reflecting across the y-axis?
100
A square has a side length, s, of x + 4.
a. The area, s2, in expanded form
b. The perimeter, 4s
a. What is x2+8x+16?
b. What is 4x+16?
200
Triangle A has an angle that measures 55° and an angle that measures 70°. Triangle B has an angle that measures 55° and an angle that measures b° where b≠70°. Based on this given information, Amy believes that Triangles A and B cannot be similar. Find a value for b that refutes Amy’s claim.
What is 55 degrees?
200
The population of Apple Island is slowly increasing and can be calculated by P(t) = 88.2(1+0.13t)1/2. P is the population (in millions) and t is the time in years. How long will it take for the population to reach 121 million? Round to one decimal point.
Hint: You are solving for t
What is 6.8 years?
200
1) An example of an irrational number
2) An example of a rational number
Reference 4.4 Real and Complex Numbers Notes #6
1) What is radical 2?
2) What is 2/5?
200
What is: 
300
There is a right triangle with the opposite side of x and adjacent side of 15. The angle is 52 degrees. Solve for x. Round x to nearest tenth.
Reference 12.1 Trig Functions Notes #2
What is 19.2?
300
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket’s height above the surface of the lake is given by g(x) = -16x2 + 64x + 80. How long will it take the rocket to hit the lake?
Hint: Set function equal to 0 and solve by factoring.
What is 5 seconds?
300
Transformation that will map a point (x, y) onto the point (.5x, .5y - 4)
a dilation of a scale factor .5 through the origin followed by a translation of left 4 units.
A dilation of a scale factor .5 through the point (0, .5).
A dilation of a scale factor .5 through the origin followed by a translation of down 4 units.
A dilation of a scale factor .5 through the point (.5, 0).
3. What is a dilation of a scale factor .5 through the origin followed by a translation of down 4 units?
300
What is
400
Round to the nearest whole number
What is 282 meters?
400
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 128t if air resistance is neglected). Reference 4.6 Vertex Form of Quadratic Functions and Transformations Notes #8. Hint: Set to vertex form using "Completing the square"
a. Time that rocket takes to reach the ground again
b. Seconds the rocket will take to be 112 feet above the ground
c. Time it'll take the rocket to reach the maximum height (hint: vertex!)
d. Maximum height (hint: vertex!)
a. What is 8 seconds?
b. What are 1 and 7 seconds?
c. What is 4 seconds?
d. What is 256 feet?
400
If you multiply a rational number with another rational number, your product will: always, sometimes, or never be rational.
If you multiply an irrational number with another irrational number, your product will: always, sometimes, or never be irrational.
Reference 4.4 Real and Complex Numbers Notes #6. Hint: Create examples and try them out
1. What is always?
2. What is sometimes?
400
A rectangle has a length that is twice as long as the width. Hint: Set the width equal to x, then calculate the length
a)Write a polynomial that represents the area of the shape.
b) What is the perimeter of the shape?
c) If the total area is 32 feet squared, what is the value of x?
a. What is 2x2 ?
b. What is 6x?
c. What is 4 feet?
500
To calculate the height of the building, Sara walked 200 feet from the base of the building. The measure of angle elevation from Sara to the top of the building is 45°. Find the height of the building (round to nearest whole number).
What is 200 feet?
500
The population of a city grows at a rate of 5% per year. The population in 1990 was 400,000. (Equation for exponential growth: y=a(1+r)t. Reference 7.1 Exponential Growth and Decay Notes #4
a. The predicted current population (hint: time is the difference between 1990 and our current year)
b. Year in which the population is 1,000,000 (round to nearest tenth)
a. What is the current population of 2,101,339?
b. What is 18.8 years?
500
If you multiply a rational number by an irrational number, the product will: be rational or irrational?
If you add a rational and an irrational number, the sum will: be rational or irrational?
Reference 4.4 Real and Complex Numbers Notes #6. Hint: Create examples and try them out
1. What is irrational?
2. What is irrational?
500
State the number of unique real solutions:
4a2 = 8a - 4. Hint: Get all terms together and factor
What is one real solution?