Algebra 2 Jeopardy

Factoring

100

Factor.

x²-9

(x-3)(x+3)

200

Factor.

3y-8xy

y(3-8x)

300

Factor. (hint: look for GCF)

4x²+12x²+16x³

4x²(1+3+4x)

400

Factor.

x³-5x²+4x-20

(x²+4)(x-5)

500

Factor 

27x³-343

(3x-7)(9x²+21x+49)

Absolute Value

100

Solve for x.

|x|=5

x=5, x=-5

200

Answer in interval notation. (hint: separate into 2 equations)

|2x-3|<5

(-1,4)

300

Given: f(x)=2, g(x)=3.

f(x)·g(x)

6

400

Identify the transformations.

g(x)=-|x-5|

Reflection X-axis, Right 5

500

What's the range?

f(x)=|x|+1

[1,∞)

Quadratic Functions

100

Identify the transformation.

y=x²-5

Down 5

200

What type of equation is this? (linear, quadratic, cubic)

y=x+2

Linear

300

Write the function described below.

A quadratic  function reflected over the x-axis and vertically stretched by a factor of 3.

y=-3x²

400

Give answers in interval notation. (hint: factor to find answer)

x²-4x+3<0

(1,3)

500

Answer in interval notation.(hint: factor to find answer)

x²-10x+25>0

(-∞,5)U(5,∞)

Exponent & Radicals

100

Use Product of Powers Rule to solve.

4³ ⋅ 4²

4⁵

200

Solve.

√16

4

300

Use Power of Powers Rule to solve.

(x²)³

x⁶

400

Simplify square roots.

√9x⁴y²

3x²y

500

Solve radical equation.

√2x+1=-3

No Solution

Polynomials

100

Classify polynomial by degree.

What is the name of the degree 2?

Quadratic

200

Write polynomial in standard form.

x²-2x³

-2x³+x²

300

How many solutions does the following equation have?

x⁴+4x²-77=0

4

400

Write polynomial in standard form.

Zeros:0,-4

y=x(x+4)

y=x²+4x

500

Given the formula: y=a(x-r₁)(x-r₂)(x-r₃)

Solve: f(x) is degree of 4; contains (2,48). solutions: -2,3,1,-1

y=-4(x+2)(x-3)(x-1)(x+1)

a=-4