Algebra 3 Jeopardy

Linear Functions

100

What is the slope?

y = -x + 3

m = -1

200

What is the slope?

3x = -2y - 6

m = -3/2

300

What is the slope given two points?

(-19, 10) and (3, -14)

-12/11

400

Find the equation of the line that passes through the point (3, -2) and is parallel to the equation:

y = -7/3x-3

y=-7/3x+5

500

Find the equation of the line that passes through the point (-4, -3) and is perpendicular to the equation:

y=-3/2x-4

y=2/3x-1/3

Quadratics (Factoring)

100

Factor Completely:

v² - 2v - 3

(v + 1) (v - 3)

200

Factor Completely:

3x² - 4x

x(3x - 4)

300

Factor Completely:

5r² - 21r - 54

(5r + 9) (r - 6)

400

Factor Completely:

-6m² + 37m - 45

-(3m - 5) (2m - 9)

500

Factor Completely:

18p² + 15p - 168

3(2p + 7) (3p - 8)

Quadratic Formula

100

Solve using the Quadratic Formula:

x² - 4x - 4 = 0

x = 2

200

Solve using the Quadratic Formula:

2x² + 5x + 2 = 0

x = -1/2

 and x = -2

300

Solve using the Quadratic Formula:

-18 - r = -4r²

r = 9/4

and r = -2

400

Solving using Quadratic Formula:

-4 = -4x - 6 + 5x²

x = [2 + sqrt(14)] / 5

and

x = [2 - sqrt(14)] / 5

500

Solve using the Quadratic Formula:

-3x² + 12x - 27 = -6x² + 9x - 9

x = 2 and x = -3

Exponents

100

Simplify Completely:

(3x³y²)(3yx²)

9x⁵y³

200

Simplify Completely:

(-xy)(-x^-4)³

y/x^11

300

Simplify Completely:

((m^-1n^2*-m^0)/(-2m^-4n^4))^4

m^12/(16n^8)

400

Simplify Completely:

(mp^4q^-1)/(2m^-1p^4p^-2q^0)^3

m^4/(8qp)

500

Simplify Completely:

((m^2*m^(1/2)n^-1)/(m^(3/4)n^2))^(-7/4)

(n^(21/4)m^(15/16))/m^4

Logarithms

100

Expand:

log(x/y)

logx - log y

200

Condense:

5log₇x - 5log₇y

log_7(x/y)^5

300

Expand:

log₄(u⁶v)²

12log₄u + 2log₄v

400

Expand:

6log₉z + 36log₉x + 6log₉y

log₉(x³⁶y⁶z⁶)

500

Condense:

1/3 log_3a + 1/3 log_3b + 1/3 log_3c + log_3d

log_3(d (abc)^(1/3))