Probability
Function Transformations
Quadratics
Right Triangles
Order of Operations
100

From a standard deck of playing cards, a card will be chosen at random. What is the probability the card is a diamond?

What is P(Diamond)=1/4?

100

Identify the vertex of the quadratic: y=-3(x-7)2-1

What is (7,-1)?

100

Solve: x2+5x=14

What is x=2,-7?

100

Solve for LN: 

What is LN=20?

100

True or False:

(x+3)2 = x2+9

What is False?

200

What is the probability that a card chosen at random from a standard deck is NOT a face card?

What is P(Not a Face Card)= 40/52 = 10/13?

200

Identify the line of symmetry of the absolute value function: y=0.5|x+3|-4

What is x=-3?

200

Solve: 

2x^2+4=348

What is: 

x=2sqrt43, -2sqrt43?

200

Solve for MN: 

What is 

MN=10sqrt(3)?

200

Solve for c:

What is: 

c=2Q-d?

300

At her archery lessons, Tess has a 90% chance of getting a bull’s eye. Unfortunately, there is only a 40% chance that her instructor will be watching her when she shoots. What is the probability that her instructor will see Tess hit the bull’s eye?

What is P(Sees the bull's eye)=0.36 or 36%?

300

Identify the domain and range of the following quadratic: 

What is:

Domain: -infinity < x< +infinity

Range: 

1 <= y < infinity

300

Solve: 2x2+5x-12=0

What is 

x=3/2 and x=-4?

300

Solve for angle A: 

What is 64.62 degrees?

300

Solve for r: 

What is: 

400

Janet had trouble choosing outfits, so she made spinners to randomly select outfits. Based on her spinners below, what is the probability that she wears a hat or scarf with boots?

What is P(Hat or Scarf with Boots)=4/9?

400

Identify the increasing and decreasing intervals for the absolute value function:

What is:

Increasing: -3 < x < +infinity

Decreasing: -infinity < x < -3

400

Identify the vertex (without graphing): 

y=x^2-12x+35

What is (6,-1)?

400

Solve for x: 

What is 

x=16/sqrt2?

400

Convert to standard form: 

y=4(x-1)^2+3

What is: 

y=4x^2-8x+7?

500

Your pet rat Randy is the next contestant on a new game show What a Rat! where rats compete in mazes to find food as fast as possible. Randy is equally likely to take any path when coming to an intersection, but you get to decide which area to place the food. Given the maze at right, in which area should you place the food to help Randy win the competition?

What is room C?

500

Describe all the transformations that took place between the parent function and the following quadratic: y=-3(x-7)2-1

What is: 

1) a vertical reflection 

2) a vertical stretch by 3

3) a horizontal translation right 7 and 

4) a vertical translation down 1?


500

The cables that hold up a suspension bridge form a parabola. The distance between the towers is 4200 feet, and the height of each tower is 500 feet above the roadway. What is the equation of the parabola between the two towers? 

What is: 

y=1/3320x^2?


500

Stephanie is at the top of an overlook below a waterfall in Yosemite. She knows that the overlook is exactly 200 feet away from the waterfall. Stephanie measures the angle of elevation to the top of the falls from her position and sees it is 22°. When she measures the angle of depression to the base of the falls, she learns that it is 61°. Using this information, what is the height of the falls?

What is approximately 441.6ft?

500

What is: 

a=Q/(3+5c)?