Solve Quadratics by taking the Square Root
Solve the following quadratic equations for the unknown variable. Leave your final answer in simplest radical form.
1. / a2 = 14 / 2. / b2 = 363. / c2 = 20 / 4. / g2 = 8
5. / w2 – 4 = 32 / 6. / n2 – 5 = 20
7. / h2 + 9 = 34 / 8. / j2 + 4 = 68
9. / y2 + 7 = 25 / 10. / k2 – 7 = -4
11. / m2 – 9 = 21 / 12. / p2 + 10 = 30
13. / 8q2 + 2 = 74 / 14. / 7x2 – 9 = 243
15. / 6r2 – 2 = 382 / 16. / 4r2 + 5 = 105
17. / 5t2 + 8 = 38 / 18. / 7v2 + 10 = 206
19. / 4w2 + 4 = 124 / 20. / 3x2 + 10 = 28
Name: ______Date: ______
Algebra I CC Exit Ticket
Solve the following quadratic equation for x. Leave your final answer in simplest radical form.
3x2 + 7 = 34
Name: ______Date: ______
Algebra I CC Exit Ticket
Solve the following quadratic equation for x. Leave your final answer in simplest radical form.
3x2 + 7 = 34
Name: ______Date: ______
Algebra I CC HW
Solve each quadratic equation for x. Leave your final answer in simplest radical form.
1. / x2 = 75 / 2. / x2 – 9 = 933. / 3x2 = 108 / 4. / 4x2 + 7 = 151
5. / A woman at the top of a cliff that is 225 feet tall drops her hairpin. The distance from the hairpin to the ground can be modeled by the equation h = -16t2 + s, where h is the height from the ground, t is the time in seconds, and s is the initial height from the ground in feet. How long will it take for the hairpin to reach the ground? Round your answer to the nearest tenth of a second.