Minds Matter End of Year Jeopardy

Linear and Other Equations

100

The equation q(x)=2x+4 describes the growth of a plant every month in inches after being planted

How tall is the plant in its 3rd month of being planted?

10 inches

200

What is the x coordinate of the highest y coordinate of this equation?

y= -x²+3x+4

1.5

300

The growth of a bacteria population can be measured by the equation g(t)=C*2^t where t>0. t is measured in minutes and g(t) measures how much bacteria exists, C is the starting population of bacteria

At what time will there be 16 times as much bacteria as the starting point?

t=4

400

What is the x intercept of f(x)=2^x(3)+3x+1

x=~0.8776

500

Two variable x and y are related by every increase of 1 in x results in an increase of 4 in y

When x = 3, y=30. What is the equation of this linear formula? Write it in the form (y=mx+b)

y=4x+18

Algebra

100

If 4x=3, what is the value of 24x?

18

200

What is the solution of x to these equations:

9x+4y=84

2x+2y=32

x=4

300

3x=2y-12

x+4y=52

What is y?

y=12

400

2x+3y=12

x-6y=8

what is 4x-9y?

-4

500

(x-2)²(x+4)² can be written as

Ax⁴ + Bx³ + Cx² + Dx + E where A, B, C, D, and E are constants

What is A+B+C+D+E?

1+4-12-32+64=25

Geometry

100

A triangle has side lengths 5 and 12 adjoined by a 90 degree angle, what is the length of the other side?

13

200

What is the surface area of a square prism with side length of 4?

96

300

A recentangle with area of 48 has a side length that is 3x the lenght of the other side length. What is the perimeter of this rectangle?

32

400

A triange has edges AB and AC that are consistent in length with angle A being 90 degrees.

What is the longest segment of this triangle?

BC

500

A right triangle has angle X which is not the right angle. Sin (x) = 1/2 what is tan (x)?

1/sqrt(3)=.577

Probability

100

Of 300,000 paper clips, 225,000 are size large, what percent is size large?

75%

200

Mike has a bag of marbles, 4 white, 8 blue, and 6 red. He pulls out one marble from the bag and it is red. What is the probability that the first marble he pulls out of the bag is white?

4/18=2/9

300

A class is trying to elect 3 leaders of student government. There are total of 10 candidates who can fulfill the roles. If a student occupies one role, they can not serve as another. How many combinations of students are possible?

10*9*8=720

400

Mike has a bag of marbles, 4 white, 8 blue, and 6 red. He pulls out one marble from the bag and it is red. What is the probability that the second marble he pulls out of the bag is white?

4/17

500

A square is contained in a circle. If the circle has radius 4cm and the square has side length 5cm, what is the probability a point selected in the circle will also be in the square

25/(16pi)=50%

Miscellaneous

100

If I were to describe a variable x as now being 0.35x, what percentage decrease is that?

65%

200

What is the range of this data?
12, 19, 17, 26, 39, 9, 4, 19

35

300

x^m(x+2)+x^m(x+3) can be written as

Ax^m+1+Bx^m, what is A+B

1+5=6

400

The ratio of 8 to 12 is the same as the ratio of 30+x to 50+x, what is x?

x=10

500

The median of this set of a data is 7. 

1, 14, 5, 23, 7, x

What is the valid value of x?

x=7