Final Project -Test 1

Simplifying radicals with and without variables

100

√225

15

200

√361

19

300

√98

7√2

400

5√432

60√3

500

–6√75

–30√3

Adding/Subtracting/Multiplying/Dividing radicals

100

8√3 + 6√3

14√3

200

–10√2 × 15√2

-300

300

13√5 + 14√5

27√5

400

9√7 – 17√7

–8√7

500

8√3 × 3√9

72

Multiply binomials

100

(–9p + 11)(6p – 3)

–54p² + 93p – 33

200

(6x + 9)(6x – 9)

36x² – 81

300

(–7q⁶ – q⁴)(–2q² – q⁵)

7q¹¹ + q⁹ + 14q⁸ + 2q⁶

400

(–5y⁴ – y⁵)(–8y⁵ + 2y⁶)

–2y¹¹ – 2y¹⁰ + 40y⁹

500

(11w⁶ + w³)(5w³ + 1)

55w⁹ + 16w⁶ + w3

Finding the greatest common factor (GCF) of a quadratic equation

100

8x² - 40x + 20

4(2x² - 10 + 5)

200

-6x² + 30x - 54

-6(x² - 5x + 9)

300

22x² + 84x - 16

2(11x² + 42x - 8)

400

-21x² + 42x - 49

-7(3x² - 6x + 7)

500

6x² + 12x - 18

6(x² + 2x - 3)

Factoring Quadratics

100

v² + 5v + 6 = 0

v = –3 ; v = –2

200

g² – 3g = 4

g = –1 ; g = 4

300

w² + 4w = 0

w = –4 ; w = 0

400

s² – 8s + 12 = 0

s = 2 ; s = 6

500

x² + 2x – 35 = 0

x = –7 ; x = 5