Algebra II Jeopardy

Matrices

100

Add the matrices:

[8 5    +    [5 -6

2 8]           3 4]

[13 -1

5 12]

200

Multiply the matrices:

[1 -3 5           [6 -2 -4

2 1 -8     x     7 9 0

7 7 -9]           5 8 -1]

[10 11 -9

59 69 -16

46 -23 -19]

300

Subtract the matrices:

[6 3  -   [3 8  -  [6 9

1 2]       4 7]     9 0]

[-3 -14

-12 -5]

400

Solve for x, y, and z to the nearest thousandth:

x+5y-z=45

7x-y+8z=32

-9x+4y+z=12

x=2.919

y=8.928

z=2.562

500

Solve for x, y, and z to the nearest thousandth

z+2x-4y=-54

x+y+z=-12

-7y+2x+4z=-32

x=-25.810

y=3.238

z=10.571

Logarithms

100

Use a calculator to find log₃14 to the nearest thousandth

2.402

200

Convert 3⁵=243 into logarithmic form.

Log₃(243)=5

300

Find the value of ln(e⁵/2) to the nearest thousandth.

4.307

400

Find the value of log₅25²

4

500

Find the value of ln(4e/x) ²

2ln4+2-2lnx

Factoring

100

Factor 9x⁴y⁷+81x³y⁵

9x³y⁵(xy²+9)

200

Factor 3x³+36x²+108x

x=0 or -6

300

Factor by grouping 3x³-6x²-9x+18

(3x²-9)(x-2)

400

Factor 64x³-y³

(4x-y)(16x²+4xy+y²)

500

Factor 2x⁵+8x⁴+10x³+40x²

2x²(x²+5)(x+4)

Geometry

100

What is the Pythagorean Theorem?

a²+b²=c²

200

What is slope intercept form?

y=mx+b

300

What is the slope of a line that passes through points (2,-2) and (8,2)?

2/3

400

Find the center and radius of a circle with the equation (x-4)+(y-6)=144

Center: (4,6)

Radius: 12

500

What is the equation of a circle with a center of (-3,7) and a radius of 6?

(x+3)+(y-7)=36

Polynomials

100

Find the zeros:

f(x)=x²-64

8 and -8

200

Find the zeros:

f(x)=x²+2x-35

5 and -7

300

Factor using the difference of cubes

f(x)=x³-125

(x-5)(x²+5x+25)

400

Find the zeros:

f(x)=3x²-9x-84

-4 and 7

500

Solve for x to the nearest tenth:

f(x)=x²-12x-16

x=76.4 or x=67.6