Mr. Crossman's Grade 9 Unit 1 Review

Expanding

100

(k-3)(7k-2)

7k²-23k+6

200

(5h-2)(h+8)

5h²+38h-16

300

(6r+2)(7r+8)

42r²+62r+16

400

(5-x)(x-√7)

5x - 5√7 - x² + x√7

500

(x-4)(x²+2x-3)

x³-2x²-7x+12

Factorizing

100

x²+7x+10

(x+5)(x+2)

200

2x²-18x+36

2(x-3)(x-6)

300

x²-144

(x+12)(x-12)

400

36m⁴-49t¹⁰

(6m²-7t⁵)(6m²+7t⁵)

500

2x² + 2xy - 2x³ + 3x + 3y - 3x³

(2x + 3)(x + y - x²)

Simplify Radicals

100

√242

11√2

200

√(75x³)

5x√(3x)

300

√147

7√3

400

√(160x³z⁵)

4xz²√(10xz)

500

√(2x²+12x+18)

(x+3)√2

Rationalize the Denominator

100

(12) / (√2)

6√2

200

(10+√5) / (√5)

2√5+1

300

(11-√3) / (2√7)

(11√7 - √21) / (14)

400

(√[11p⁴h⁴]) / (√[3p⁵h⁴])

(√[33p]) / (3p)

500

(x) / (2-√3)

x(2+√3)

Ugly Questions

100

What is 4 divided by one half?

8

200

When Jon was 10 years old, Sally was 20 years old. 

Jon is now 43 years old, how old is Sally?

53

300

16, 06, 68, 88, ___, 98

87

400

Jon has two children. At least one is a boy. What is the probability that he has two boys?

1/3

500

Jon has two children. At least one of them is a boy born on Tuesday. What is the probability that he has two boys? 

13/27