Mu Alpha Theta Jeopardy

Algebra II

100

Factor the difference of squares.

81y^4 - 64

What is (9y^2 + 8)(9y^2 - 8)?

200

Determine the dimensions of the matrix.

*see the image*

What is 4 × 2?

300

For the pair of functions, find the indicated sum, difference, product, or quotient.

f(x) = 2x - 5, g(x) = 5x + 2

Find (fg)(x).

What is 10x^2 - 21x - 10?

400

Solve the system.

x - y + 3z = 10

2x + z = 2

x + 5y + z = -18

What is (0, -4, 2)?

500

Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.

4x + 7y = 102

8x + 14y = 204

What is Consistent; dependent?

Pre-Calculus

100

𝐬𝐢𝐧(𝟑𝝅/𝟐)=?

What is -1?

200

What is the range?

𝐲=𝟑𝐜𝐨𝐬(𝒙)−𝟏

Domain: −∞<𝑥<∞

Range: ?

What is −𝟒≤𝒚≤𝟐?

300

What are the cartesian coordinates?

Polar: (6,30°)

Cartesian: ?

What is (𝟑√𝟑,𝟑)?

400

𝑡𝑎𝑛(csc^(−1)⁡((𝑥+4)/(𝑥−1)) )= ?

What is (𝒙−𝟏)/√(𝟏𝟎𝒙+𝟏𝟓)?

500

*see image*

What is 𝟐𝟏.𝟔𝟐𝟓𝝅 or 𝟏𝟕𝟑/𝟖 𝝅?

DE College Algebra

100

Write interval notation.

{ x ∣ 2 > x } 

what is (-∞, 2)?

200

Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = x + 14/x

what is odd?

300

Perform the indicated operation and simplify.

 x/(x^2 - 16) - 5/(x^2 + 5x + 4)

What is (x^2 - 4x + 20)/(x - 4)(x + 4)(x + 1)?

400

Find f(x) and g(x) such that h(x) = (f ∘ g)(x)

h(x) = 10/(sqrt)10x+7

What is f(x) = 10/(sqrt)x, g(x) = 10x+7?

500

Rationalize the denominator.

7/(cube root)9x^2

What is (7(cube root)3x)/3x?

AP Statistics

100

The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students.

*see chart* 

This data set contains:

- A. 2 variables, 1 of which is quantitative

- B. 2 variables, 2 of which are quantitative

- C. 5 variables, 1 of which is quantitative

- D. 5 variables, 3 of which are quantitative

What is 2 variables, 1 of which is quantitative?

200

A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year.

To which population can the results of the poll safely be generalized?

1. Only people aged 40 to 50 living in San Francisco that were polled

2. All people living in San Francisco only

3. All people aged 40 to 50 living in San Francisco only

4. All people aged 40 to 50 living in California only

5. All people in California

What is all people aged 40 to 50 living in San Francisco only?

300

The following table shows the five-number summary for the number of accounts each sales manager at Force Inc. manages.

*see image*

About 50% of sales managers at Force Inc. manage fewer than what number of accounts?

What is 50?

400

Forest rangers at a national park want to take a sample of trees to estimate what proportion of trees in the park are infected with a certain disease. The population of trees in question is divided by a creek. East of the creek, most of the trees are oak. West of the creek, most trees are cedar, which are more likely to be infected.

The rangers are considering taking a stratified random sample using each side of the creek as strata. They'll sample trees from each side proportionately based on the total number of trees on each side.

Why might the rangers choose stratification instead of a simple random sample to estimate the proportion of infected trees?

1. A stratified random sample reduces the likelihood of getting disproportionate numbers of cedar or oak trees in the sample.

2. A stratified sample eliminates the bias that arises from using a simple random sample.

3. In repeated sampling, estimates from this sort of stratified sample would likely vary more than estimates from simple random samples.

What is a stratified random sample reduces the likelihood of getting disproportionate numbers of cedar or oak trees in the sample.

500

A veterinarian weighed a sample of 6 puppies. Here are each of their weights (in kilograms):  1,2,7,7,10,15

The mean of these weights is x=7kg

What is the standard deviation?

sx = _____kg

What is 5.18kg?

AP Calculus

100

𝒅/𝒅𝒙 (𝒙^𝟓+sin⁡(𝒙)−𝒆^𝒙)=?

What is 𝟓𝒙^𝟒+cos⁡(𝒙)−𝒆^𝒙?

200

p(x)=f(x)g(x)

p′(3)=?

*see table*

What is 𝟏𝟓𝟏?

300

lim┬(𝒙→𝟎)⁡(𝟑𝒙/sin⁡(𝟕𝒙)) +(𝟕−𝟕𝒄𝒐𝒔(𝒙))/𝒙)= ?

What is 𝟑/𝟕?

400

h(x)=(f(x))/(g(x))

h′(2)=?

*see chart*

What is 𝟖𝟕/𝟖𝟏?

500

Simplify:

𝒅/𝒅𝒙 (sin⁡(𝒙)cos⁡(𝒙)+tan⁡(𝒙)csc(x)⁡) = 

What is cos^𝟐⁡(𝒙)−sin^𝟐⁡(𝒙)+sec^𝟐⁡(𝒙)𝒄𝒔𝒄(𝒙)−csc⁡(𝒙) 

or 𝒄𝒐𝒔(𝒙)𝒄𝒐𝒔(𝒙)+𝒔𝒊𝒏(𝒙)(−𝒔𝒊𝒏(𝒙))+sec^𝟐⁡(𝒙)csc⁡(𝒙) +𝒕𝒂𝒏(𝒙)(−𝒄𝒔𝒄(𝒙)𝒄𝒐𝒕(𝒙)) 

or 𝐜𝐨𝐬(𝟐𝐱)+sec^𝟐⁡(𝒙)𝒄𝒔𝒄(𝒙)−𝐜𝐬𝐜(𝐱)?