MPM 2DI - Jeopardy

Linear Systems

100

This is the value of x if -7x = 21

What is 3?

200

This is the conclusion for a linear system that simplifies to 0x + 0y = 10

What is "no solutions"?

(Also acceptable:  "lines are parallel" )

300

These are the three methods for solving a system of linear equations.

What are graphing, substitution, and elimination?

400

What is the solution to the following system:

2x + y = 10

5x - y = 4

What is (2, 6)?

500

This is the point of intersection for the linear system below:

4x - 3y = 3

3x + 2y = -19

What is (-3, -5)?

Trigonometry

100

This is the phrase used to remind us which trigonometric ratios to use for right triangles.

What is "SOH CAH TOA"?

200

This is the length of a side opposite from a 40° angle in a triangle with hypotenuse 4.6 km.

What is 2.96 km? (or 3.0 km)

300

These are the two trigonometric formulae used for non-right triangles.

What are sine law and cosine law?

400

This is the cosine law when solving for "a" in the triangle ABC.

What is " a² = b² + c² - 2bc cos A" ?

500

In the triangle ABC, if a = 10 cm, b = 8 cm, and A = 72°, this number is the size of angle b to the nearest degree.

What is 50° ?

Polynomials

100

x + 3y and -5x + 2 are both examples of this type of polynomial.

What are "binomials"?

200

This value is the degree of the polynomial below:

4xy³z - 10x⁴ + 17

What is 5?

300

This the expanded and simplified version of the multiplication of 2(x - 4)(x + 7).

What is 2x² + 6x - 56 ?

400

This is the factorization of the difference of squares below:

4x² - 25y²

What is (2x - 5y)(2x + 5y) ?

(Also acceptable: (2x + 5y)(2x - 5y) )

500

This is the complete factored form of the polynomial below:

2x³ - 12x² - 50x + 300

What is   2(x - 6)(x - 5)(x + 5) ?

Transformations

100

This is the general form of a quadratic equation in vertex form.

What is " y = a(x - h)² + k" ?

200

This is the location and type of vertex for the quadratic equation y = -3(x - 4)² + 5  

What is a maximum located at (4, 5)?

300

This is the optimal value of the quadratic equation below:

y = x² - 4x + 5

What is a minimum value of 1?

400

This is the optimal value for the quadratic below:

y = -3x² + 18x + 11

What is a maximum of 38?

500

This is the time at which a ball will hit the ground if it is thrown on a trajectory given by the equation below:

h = -4.9(t - 4.5)² + 26

What is 6.8 seconds?

Solving Equations

100

These are the two distinct solutions to the equation

(x - 4)(x + 5) = 0

What are x = 4 and x = -5?

200

This is the number of solutions that a quadratic equation will have if its graph is shifted up 6 units and it opens down. 

What is two?

300

These are the solutions to the equation

x² - 8x +12 = 0

What are x = 2 and x = 6?

400

This is the quadratic formula.

What is "x equals negative b, plus or minus the square root of b-squared minus 4ac, all over 2a."

500

These are the exact solutions to the equation

x² - 7x + 11 = 0

What are (7 +/- sqrt(5)) / 2