Peturamath Jeopardy

Trig identities

right triangle and trig and unit circle

Logarithmic equations

Parabolas

Systems of Equations

100

name the trig function equivalent to the expression: tanθcosθ

sinθ

100

change from degrees to radians: 210 degrees

7𝝅/6

100

Write the following equalities in exponential form: log₄256

4⁴=256

100

Find the vertex and axis of symmetry: y=-(x+3)²-1

Vertex: (-3, -1)

Axis of symmetry: x=-3

100

10x+12y=-22

2x+3y=-8

(x,y)=(5, -6)

200

name the trig function equivalent to the expression: 1/tanθ

cotθ

200

change from radians to degrees: 35𝝅/18

350 degrees

200

Write the following equalities in exponential form: log₂x=-5

x=1/32

200

Find the vertex and axis of symmetry -1/3(x-3)=(y+5)²

Vertex: (3, -5)

Axis of symmetry: y=-5

200

4x+8y=-12

x-2y=-7

(x,y)=(-5, 1)

300

name the trig function equivalent to the expression:

1-cos²θ/cos²θ

tan²θ

300

give the exact value: csc240

-2√3/3

300

Write the following equalities in exponential form: log₇7=1

7¹=7

300

Find the vertex and axis of symmetry: -(y+2)=(x-2)²

Vertex:(2, -2)

Axis of symmetry: x=2

300

9x-10=-9

4x-9y=-4

(x,y)=(-1, 0)

400

verify the identity: (sinθ+cosθ)²=1+sin2θ

1+sin2θ=1+sin2θ

400

find the 6 trig functions: cosθ=60/61

sinθ=11/61 cscθ=61/11

cosθ=60/61 secθ=61/60

tanθ=11/60 cotθ=60/11

400

Write the following equalities in exponential form: log₆1/36=-2

6^-2=1/36

400

Find the vertex and axis of symmetry: -2x²-4x+y+70=0

Vertex:(-1, -72)

Axis of symmetry: x=-1

400

-3x-y-3z=-8

-5x+3y+6z=-4

-6x-4y+z=-20

(x,y,z)=(2,2,0)

500

find all solutions to the equation: cos3θ=0

𝝅/6, 3𝝅/6

500

find the 6 trig functions: csc=7

sinθ=1/7 cscθ=7

cosθ=4√3/7 secθ=7√3/12

tanθ=√3/12 cotθ=4√3

500

Write the following expressions in terms of log of x,y, and z: logx²y

2logx+logy

500

Find the vertex and axis of symmetry:

2y²+x+20y+51=0

Vertex: (-1, -5)

Axis of symmetry: y=-5

500

y=x+4z-5

4x+3y-2z=5

z=-2x+2

(x,y,z)=(0,3,2)