Chapter R Part A Jeopardy!

Set of Real #

100

Which of the following are NOT integers?

1.2,   0,   -5,  -16/4,   7/3

1.2 and 7/3

200

Which of the following are NOT real numbers?

pi, sqrt 3,  sqrt -4,  5/0,   pi/2

sqrt -4 and 5/0

300

Always, sometimes, or never:  An integer is a whole number.

sometimes

400

List all the sets to which -pi/2 belongs:

real,irrational,rational, integers,whole,natural

real, irrational

500

List all the sets to which the the absolute value of the sum of -10 and opposite of sqrt of 16 belongs

real, irrational, rational, integers, whole, natural

real, rational, integer, whole, natural

Properties

100

(9 + x) + 0 = 9 + x

Identity property of addition

200

(ab)(1/ab) = 1

multiplicative inverse

300

2.5x + (0.5x + y) = (2.5x + 0.5x) + y

associative of addition

400

2.5(60) = 2(60) + 0.5(60)

Distributive

500

Name ALL of the properties you would use to solve this equation.

2 + 3(x + 4y) - 3x = 26 

distributive, additive inverse, subtraction/addition of equality, mult/division of equality

Evaluate/Simplify

100

[-(-3²)]²

81

200

evaluate if a = -1,  b= -2  and c = 4

(a + b)² + 3|b| - |c-b|

9

300

(-2³/5 - 3/4 ) + (-1/2)²

-8/5

400

simplify         2x^-5y⁰(-3x²y)³

-54xy³

500

Evaluate (A/B)⁵ when A=-2m⁶ and B= -m²n²p

(32m²⁰)/(n¹⁰p⁵)

Polynomials

100

Simplify 2y(3y³ + 5) - (6y⁵ - 2y⁴ - 4y)

-6y⁵+8y⁴+14y

200

Simplify (3k - 5m)²

9k²-30km+25m²

300

Multiply: (k²+3k)(5k² + k - 2)

5k⁴ + 16k³ + k² - 6k

400

(x-2)³ + (2x+3)²

x³-2x²+24x+1

500

Divide 5m³ -7m² +14  by (m²-2)

5m - 7 + 10m/(m²-2)

Factoring

100

48a² - 12a⁷b - 90a⁶b²

6a⁶(4a + 5b)(2a-3b)

200

36x² + 84xy + 49y² - 25

(6x - 7y-5)(6x-7y+5)

300

64x^6c - 4x^2c

4x^2c(2x^c+1)(2x^c-1)(4x^2c +1)

400

10(2a-1)² -19(2a-1) -15

2(5a-1)(4a-7)

500

27z³ + 729y³

27(z+3y)(z²-3zy+9y²)