Jeopardy

Quadratics

100

What is the standard form of a quadratic equation?

ax²+bx+c=0

200

Find the possible roots of: x²−9=0

x=3 and x=-3

300

Solve x²+6x+8=0

x=-2

x=-4

400

Use quadratic formula to solve 2x²−4x−6=0

x=3

x=-1

500

Given the quadratic function f(x)=2x²−4x+1, find the vertex

(1,-1)

Polynomials

100

What is the term used to describe a polynomial with only one term?

Monomial

200

Simplify: (2x³+4x²)+(3x³−x²)

5x³+3x²

300

Find the greatest common factor of 12x³ and 8x²

4x²

400

Completely factor: x⁴-16

(x-2)(x+2)(x²+4)

500

y = 2x³−3x²+5x−7

Find the value of y when x=2

7

System of Equation(s)

100

In a system of linear equations, if the lines are parallel, the system has how many solutions?

0 solutions

200

(1,2) is a solution to the following system of equations. True or false?
y=1+x

y=3-x

True

300

Solve the system: 

x+y=5    x-y=1 

x=3

y=2

400

Solve the system: 

y=2x+3       4x-7=y

x=5

y=13

500

Solve the system:

3x+2y=12

5x-y=7

x=2

y=3

Exponential & Logarithmic Sequence

100

Find the common difference of the sequence: 7, 11, 15, 19, ...

4

200

Given the sequence: 5, 9, 13, ..., find the 10th term.

41

300

What is the formula for the nth term of an arithmetic sequence

a_n=a₁+(n-1)d

400

In the following exponential sequence

 y=2(3)^x 

y=54. Solve for x

x = 3

500

Given that the 6th term of an arithmetic sequence is 20 and the common difference is 3, find the first term.

5

Random

100

Find the slope of the line passing through the points (2, 3) and (4, 7)

Slope is 2

200

If the function f(x)=2x−3, find f(4)

f(4)=5

300

Given the quadratic f(x)=x²−4x+1 find the axis of symmetry.

x=2

400

Simplify: (x²−4)/(x²-x-2)

(x+2)/(x+1)

500

Solve for x: 9^x+1=27^x

x=2