Solving Equations by taking Square Roots Name:

Algebra I 300 Date:

Solve by Factoring and CHECK YOUR SOLUTIONS!!!!

1. (5𝑥 − 2)(𝑥 − 3) = 0 2. 2𝑥 + 35 = 𝑥2

3. 4𝑥2 + 4𝑥 + 1 = 0 4. 2𝑥2 = 4𝑥

5. 𝑥(𝑥 − 7) = −10 6. 𝑥3 + 𝑥2 − 6𝑥 = 0

Solve by taking the square root of both sides. No decimals! Show all of your work.

7. 723 2 x 8. 3(3𝑥 − 1)2 + 3 = 30

Solving Equations by taking Square Roots Name:

Algebra I 300 Date:

9. 5453

2 2x 10. 0273 2 y

11. 4010322

x 12. 11873852

x

13. 16422

x 14. 093 2 x

15. 12422

1 2x 16. 0000,1010 2 x

Solving Equations by taking Square Roots Name:

Algebra I 300 Date:

Solve by any method.

17. The area of a rectangle is 72 square meters. Its length is twice its width. Find the

dimensions of the rectangle.

18. Two times the squared quantity of the sum of a number and three is 50. Find the

number(s).

19. Given the vertical angles below, find the angle measures. (Vertical angles are equal.)

x2 + 61°

3x2 - 37°

Solving Equations by taking Square Roots Name:

Algebra I 300 Date:

11) Given the right triangle, solve for x and find the perimeter.

(use the Pythagorean Theorem 2 2 2a b c )

x

x + 8

x + 7