Functions
Quadratics
Logs
Trigonometry
Regression
Probability
Fun!
100
Which of the following lists represents a function?
A: (1,3) (2,5) (2,-5) (6,7) (1,3)
B: (7,9) (2,1) (-3,7) (4,1) (7,8)
C: (5,9) (3,-4) (6, 3) (5,7) (8,-1.2)
D: (-4,7) (6,3) (4,3) (5, 1) (2,10)
D: (-4, 7) (6,3) (4,3) (5,1) (2,10)
Function: every x value has ONE y value
100
Expand the following:
(x+5)(-x+3)
-x2 -2x + 15
FOIL or BOX method
100
What is log(2.67) rounded to the nearest hundreth? **+100**
0.43
100
Find the length of side a.
a2 + b2 = c2
a2 + 32 = 52
a2 + 9 = 25
a2 = 16
a = 4
100
Which of the following shows a negative correlation?
Graph 2
100
Are being a female and playing football mutually exclusive?
No, they are not mutually exclusive because you can be a female and play football at the same time.
100
What is the most common last name in the US?
Smith
200
Find f(4) if f(x)=3x2 - x - 8
** DOUBLE **
f(4) = 3(4)2 - (4) - 8
f(4) = 48 - 4 - 8
f(4) = 36
200
A group of students are selling t-shirts to fundraise for a trip. Based off the graph, what should they charge per t shirt, x, if they want to make the most profit, y? How much would they make? **+100**
They should charge $25 and they would make $645.
(maximum point)
200
Write an equivalent equation for log(x) = 12
1012 = x
200
Find the measurement of side c. **-100 from another team**
cos(23)=4.5/x
x=4.89
200
What would be the r score of the graph on the left?**DOUBLE** 
r=1
200
About 67% of the US population likes math. If you randomly select 2 people, what is the probability they both like math?
44.89%
200
What was the first Pixar movie?
Toy Story
300
Find the value of y if we have f(-3). **-100 if incorrect**
f(x) = x2 + 3x - 10
f(-3) = (-3)2 + 3(-3) - 10
f(-3) = 9 - 9 - 10
f(-3) = -10
300
Put the following into factored form. **-100 if incorrect**
x2 - 2x - 24
What multiplies to -24 AND adds to -2
(x+4)(x-6)
300
Write an equivalent equation: 10x = 276
**-100 from another team**
log10(276)=x
300
Find the measurement of angle A if a=8 and b=4.
tan(A) = a/b = 8/4
tan-1(8/4) = A
63.43 = A
300
What would be the correlation rank?
r = -0.4 - -0.8
300
What is the probability someone is a female or plays baseball?
66/100
300
What do you call it when a bowler makes 3 strikes in a row?
Turkey
400
Find the value of x when y=3
f(x) = 5/x
f(x) = 5/x
3 = 5/x
(x)3 = 5/x (x)
(x)3 = 5
x=5/3
400
Solve for the x intercepts.
y = (x-6)(x+1)
0 = (x-6)(x+1)
x=6
x=-1
400
Solve for x: 3log10(x+5)=8.9
x = 928.25
400
Find the length of a when A=68 and B=42.
Use Law of Sine:
(Sin 68 / a) = (Sin 42 / 14)
cross multiply
a = 19.4
400
Estimate the r score.
r = -0.4 - 0
400
What is the probability someone is male given they play basketball? **+100 for another team**
15/31
400
What Netflix show had the most streaming views in 2021?
Squid Games
500
The graph of a quadratic function opens down and has x intercepts at (-2, 0) and (8, 0). Out of the points given below, choose ALL of the ones that could be the maximum point. **DOUBLE**
A: (1.5, 15)
B: (3, 9)
C: (3, -9)
D: (4, 12)
B (3, 9)
Find the middle point between the x values of the x intercepts to find the x value of your maximum. Then, since it opens down, the y value needs to be positive.
500
When will these 2 functions intersect? Show work algebraically!
f(x)=x+3
f(x)=4/x
Set equations equal to each other, get 0 on one side, use quadratic formula, plug in x values to one of the equations to solve for y values.
(-4,-1) and (1,4)
500
Solve for x: 10x-7+ 22 = 54.8
x = 8.5
500
Find the length of the missing side. **MULTIPLIER**
Use law of cosine:
c2 = 3752 + 4002 - 2(375)(400)(cos 35)
c2 = 300,625 - 245,745.6
c2 = 54,254.4
c = 232.9
500
How many points will have a negative residual?
4 points --> everything BELOW the line
(does NOT include points ON the line)
residual = actual - predicted
500
Ms. Balch is spinning a wheel. 6 slots are worth $100, 4 slots are worth $200, and 2 slots are worth $500. What is the expected value of amount of money made? **GIVE 100 to another team**
(6 x 100) + (4 x 200) + (2 x 500) = 2,400
2,400 / 12 = $200
500
What vegetable was considered poisonous in Europe until 1820?
Tomato