Logic B S2 W4

Factoring 1

100

x² – x – 42 factored

What is (x – 7)(x + 6)?

200

x² + x – 42 factored

What is (x + 7)(x – 6)?

300

x² – 14x – 15 factored

What is (x – 15)(x + 1)?

400

x² – 6x – 16 factored

What is (x – 8)(x +2)?

500

– 5x + x² – 6 factored

What is (x – 3)(x + 2)?

Probability

100

The probability that a fair coin tossed three times will come up heads all three times

What is

1/8?

200

The probability that the next roll of a single die will produce a number greater than 3 if it has already been rolled three times

What is

1/2?

300

Given a spinner with four quarter circles numbered 1-4, the probability that it will stop on 2, then 4, then 3

What is

1/64?

400

Given that two dice are rolled, the probability that their sum will be 6

What is

1/6?

500

Given that two dice are rolled, the probability that their sum will be a number greater than 8

What is

5/18?

Factoring 2 /Subscripted Variables

100

x³ + 6x² + 5x factored

What is x(x + 1)(x + 5)?

200

–x² + 24 + 2x factored

What is –(x – 6)(x + 4)?

300

–4x³ – 28x² – 48x factored

What is –4x(x + 4)(x + 3)?

400

{(6n,+,24q,=,360),(q,=,n,+,5):}

What is n = 8, q = 13?

500

{(6n,+,12d,=,180),(n,+,d,=,12):}

What is n = –6, d = 18?

Factoring 3 /Pyramids and Cones

100

(a + b)x² + 8x(a + b) + 15(a + b) factored

What is (a + b)(x + 5)(x + 3)?

200

The volume of the right rectangular pyramid shown, in millimeters

What is 960 mm³?

300

(m – b)x²c + 5xc(m – b) – 24c(m – b) factored

What is c(m – b)(x + 8)(x – 3)?

400

The surface area of the regular square pyramid shown, in centimeters

What is 96 cm²?

500

The surface area of the right circular cone shown, in meters

What is 992.24 cm²?

Miscellany

100

123456789^0

What is 1?

200

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

What is 45?

300

(1+2+3+4+5)/(6+7+8+9)

What is

1/2?

400

1*2-:3*4-:5*6-:7*8-:9*10

What is 

256/63?

500

DOUBLE IT!

6^1+7^2+8^3+9^4+10^5

What is 107,128?