DOUBLE JEOPARDY!

Properties

100

In the expression, 3 (4-2) + 6², which operation should be done first? 

What is: parentheses?

200

Which of Algebraic property was applied to the expression (a + b) + x to get the expression:

a + (b + x)? 

What is: associative property?

300

What is the result from applying the distributive property correctly to this expression -6(12x + 7)? 

What is: -72x - 42?

400

Between these examples, which one is prime? 

a) x² + 16 

b) x³ - 27

c) x² - 16

d) x^{3 +} 27

What is: a) x² + 16?

500

How does the following expand: (c + d)³?

What is: c³ + c²d + cd² + d³?

600

What is the term for the root that matches the radicand in sign? 

What is: principal root?

Radicals

100

What is the correct sum for: 

5sqrt2 + 3 sqrt8 

What is: 

11sqrt2

200

in order to multiply radicals, what needs to be true? 

What is: the indeces are the same?

300

What is the conjugate for: 

sqrt3 + 5

What is: 

sqrt3 + 5

400

Simplify this (multiply): 

root(4)(16y^4) (root(4)(4y^4))

What is: 

4yroot(4)(y^2)

500

Simplify: 

(root(5)(11a^4))/(root(5)(a^3))

What is: 

root(5)(11a)

600

Simplify: 

(5)/(1-sqrt(7)

What is: 

(5 + 5sqrt(7))/(-6) or -(5 + 5sqrt(7))/(6)

Simplifying

100

(4x + 3y)(4x - 3y)

What is: 16x² - 9y²

200

(-3y³)² (y²z)

What is: 9y⁸z

300

(8x^6y^2z^3)/(2x^4z^2)

What is: 4x²y²z?

400

(9x-4)(3x+2)

What is: 27x²+6x-8?

500

(z - 2) - (z² + 6z + 7)

What is: 

-z² - 5z - 9?

600

(36x^3 + 72y^5)/ (12xy^2)

What is: 

(3x^2)/y^2 + (6y^3)/x

Factoring

100

8x³ - 2x² - 3x

What is: x(4x - 3)(2x + 1)

200

x² - 6x + 9

What is: (x - 3)(x - 3) or (x - 3)²

300

x⁴ - 81

What is: (x² + 9)(x + 3)(x - 3)

400

z² - 10z + 25

What is? (z - 5)² or (z - 5)(z - 5)?

500

6x² + x - 2

(2x - 1)(3x + 2)

600

x⁵ - y⁵

What is: (x - y)(x⁴ + x³y + x²y² + y³ + y⁴)

Translation & Evaluation

100

Twice y increased by three

What is: 2y + 3

200

The difference between a and b is thirty-one. 

What is: a - b = 31

300

Evaluate: 14x²y - 3xy

If: x = 4, y = -3

What is: -636

400

Evaluate: 

(13^3)/(26y^2)

If: x = 2, y = -5

What is: 

(104)/650

500

Evaluate: 

y^3(2)-2

If y = -3

What is: -18

600

Evaluate:  7n(n² - 8) - 2

If: n = 2

What is: -61

Rationals

100

(3y)/8((4)/(y))

What is: 

1(1)/(2)

or

(3)/2

Where, y !=0

200

(121)/36((4)/11)

What is 

1 (2)/(9)

300

(h^2 - 5h - 36)/(h^2 + 9h + 20)

What is: 

(h-9)/(h + 5)

Where 

h !=-4

400

(21r^4)/(6q)-(13r)/(4q^2)

What is: 

(14qr^4-13r)/(4q^2)

500

(3r)/(r^2 - 4)+ (r)/(r-2)

What is: 

(r^2 + 5r)/(r^2 - 4)

600

(5)/(x+2)-:(6)/(x^2-x-6)

What is: 

(5(x-3))/6

Where 

x!=-2, 3