Quadratics and Radicals

Solve with Square Roots

100

x²=4

What is x=2 or x=-2?

200

x²=121

What is x=-11 or x=11?

300

x² - 9 = -5

What is x=2 or x=-2?

400

x² = 32

What is x = 4 rad(2) or x = -4 rad(2)

500

x² = 576

What is x = 24 or x = -24?

Simplify Roots

100

radical(25)

What is 5?

200

rad(50)

What is 5 rad(2)?

300

rad(99z)

What is 3 rad(11z)

400

rad(125g³)

What is 5g rad(5g)

500

rad(891d⁷y⁷)

What is 9d³y³ rad(11dy)?

Adding/Subtracting Radicals

100

5 rad(3) + 8 rad(3) + 8 rad(3)

What is 21 rad(3)?

200

rad(32) - rad(32)

What is 0?

300

-2 rad(20) + 6 rad(12) - 6 rad(80)

What is -28 rad(5) + 12 rad(3)?

400

4 rad(18) - 3 rad(99) + 3 rad(8) + 2 rad(176)

What is 18 rad(2) - rad(11)?

500

8 rad(20) + 5 rad(12) + 7 rad(80) - 6 rad(27)

What is 44 rad(5) - 8 rad(3)?

Quadratics Rational Numbers

100

x² - 5x - 14 = 0

What is x = -2 or x = 7?

200

q² + 8q + 6 = -9

What is q = -3 or q = -5?

300

12n² -10n = 12

What is n = -2/3 or n= 3/2?

400

20q² + 28q + 8 = 0

What is q = -1 or q = -2/5?

500

24p² - 50p + 23 = -1

What is p = 4/3 or p = 3/4?

Quadratics Irrational Numbers

100

8w² -32w - 12 = 0

What is w = (4 + rad(22))/2 or w = (4 - rad(22))/2?

200

8n² + 38n + 16 = 0

What is n = (-19 + rad(233))/8 or n = (-19 - rad(233))/8?

300

24k² + 79k - 50 = 0

What is k = (-79 + rad(11041))/48 or k = (-79 + rad(11041))/48?

400

12m² + 48m + 4 = -14

What is m = (-4 + rad(10))/2 or m = (-4 - rad(10))/2?

500

g² + 26g = 48

What is g = -13 + rad(217) or g = -13 - rad(217)?