Math Skills 10 Jeopardy Game

Power Laws

100

Solve using power laws. 

x⁶ * x⁸

x¹⁴

200

Solve using power laws: 

(x²y⁴ * xy³)/(x⁵y)

y⁶/x²

300

What is the value of k?

a³b² * a^kb = a⁶b³

k = 2

400

What is the value of k?

a⁷b^k/a⁷b^-2 = b⁹

k = 7

500

Solve for the value of k using exponent laws. 

(x²y³ - x⁵y²)^k = x⁶y⁹-x¹⁵y⁶

k = 3

Factorization

100

Factor

2x²y³+4xy²

2xy²(xy+2)

200

Factor:

x²-7x+10

(x-2)(x-5)

300

Factor:

100-81y²

(10-9y)(10+9y)

400

Factor:

5x²+10x+5

5(x+1)(x+1) or 5(x+1)²

500

Factor 

x⁵-2x²-2x³-4

(x²-2)(x³+2)

Graph

100

What is the y intercept of the linear equation 

y = 5x - 3

b = -3

200

What is the slope of the line?

4x-3x+1 = 0

m = 3/4

300

Find the x intercept of 2x-3y+7 =0

the x intercept 

(-7/2, 0)

400

If the y intercept is equal to 4, what is the value of k?

2x-ky+8=0

k = 2

500

What line is perpendicular to 3x-2y+7 = 0

a) 3/2     b)2/3      c) - 2/3        d) -3/2

d) -2/3

Trigonometry

100

What trignometric function describes the opposite side from an angle over the hypotenuse of a right-angled triangle?

sine

200

What is cos(3/4) in a right triangle?

0.9999

300

If the adjacent side of an angle in a right triangle is 3 and the hypotenuse is 7, find the angle.

65 degrees

400

If an angle in a right triangle is 45 degrees and the hypothenuse is 8, what is the value of the side opposite to the angle.

5.66

500

In right triangle ABC, angle A is 30 degrees, angle B is 90 degrees, side a is 5, side c is 8.66, what is side b?

What is angle C?

c = 8.66

C = 60