Jeopardy

Algebra 1

100

Solve for x given that 3x + 5 = 5(x + 3).

-5

200

If ax + b - y = 0, then b =

y - ax

300

What is the equation of the line that intersects the line y = x at x = 3 and is parallel to 3x - 5y = 15?

y = (3/5)x + 6/5

400

Let n be the smallest natural number that has a remainder of 4 when divided by 11 and a remainder of 7 when divided by 13. What is the sum of the digits of the number n?

14

500

Find A, B, and C. 

Let A = the slope of the line parallel to 3x - 5y = 12

Let B = the x-intercept of the linear equation 3x - 5y = 12

Let C = the y-intercept of the line perpendicular to 3x - 5y = 12 and passing through (60, −106 )

A = 3/5

B = 4

C = -6

Geometry

100

What is the name for an angle which has a measure greater than 90 degrees and less than 180 degrees?

Obtuse

200

Consider a triangle with side lengths of 5, 5, and 7. Which of the following best describes this triangle?

a) Acute

b) Right

c) Obtuse

d) Impossible

a) Acute

300

Let points C and D lie on line AB such that AC:CB = 2:3, AD:B = 1:2, and AB = 60. Determine CD.

4

400

Reflect (2, 3) about the y-axis. Reflect the resulting point about the line y = x. What are the coordinates of the final resulting point?

(3,-2)

500

Let ABCD be a quadrilateral such that AB = AD and CB = CD. Let P be the intersection of diagonals AC and BD. What is the measure of ∠AP B?

90 degrees

Algebra 2

100

Simplify using order of operations:

8 / 4 + 2 - 5 x 3 + 3⁴ / 9

-2

200

Solve
|x-2| = 2x-10

x = 8

300

Solve:
4x + 3y = 12
2x + 5y = 6

(3,0)

400

There were 755 people watching a Highland Park basketball game. The adults paid $2.50 for their admission tickets but the students paid only $1.50. If the total recipients amounted to $1614.50, how many adults and how many students were at the game?

482 adults, 273 students

500

What are the asymptotes, if any, of the rational function (x² - 5x + 6)/(x² - 2x - 3)

x = -1, y = 1

Pre-Calculus

100

What is the distance formula?

Sqrt((x2-x1)^2 + (y2-y1)^2)

200

Solve:

cos(0) + sin(pi/6) - cot(pi/4)

1/2

300

What is the period of y = Asin(wx - o)

2pi/w

400

Use long division or synthetic division to simplify:

(x^4 + 5x^3 + 6x^2 - x - 2) / (x + 2)

x^3 + 3x^2 -1

500

Find the range of the graph y = 1 / cos(3x - pi)

(−∞, −1] ∪ [1, ∞)