algebra study guide 10

No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 1. Solve by the square root method. 2 (a) (2 points) x = 2500 (a) (b) (3 points) (3x − 1) = 2 −4 (b) (c) (4 points) (5x + 2) − 5 = 2 −41 (c) 2. Solve by completing the square method. 2 (a) (3 points) x + 8x + 7 = 0 Page 1 of 5 Study Guide 10 (a) Total Points: 50 (b) (4 points) 3x − 8x + 5 = 0 2 (b) (c) (4 points) 2x − 9x − 5 = 2 0 (c) 3. Solve by using the quadratic formula. (a) (2 points) x + 4x − 21 = 0 2 (a) (b) (2 points) 2x − 7x + 5 = 2 0 (b) Page 2 of 5 Study Guide 10 Total Points: 50 2 (c) (2 points) 3x + 10x + 1 = 0 (c) (d) (3 points) (x − 5)(x + 3) = −15 (d) (e) (3 points) (2x − 3)(x + 5) = 7 (e) 4. (4 points) The product of two consecutive integers is 90. Find all such integers. Page 3 of 5 Study Guide 10 Total Points: 50 4. Page 4 of 5 Study Guide 10 Total Points: 50 5. (4 points) The product of two consecutive odd integers is 63. Find all such integers. 5. 6. (5 points) Area of a rectangle is 35 square meters. The length of this rectangle is 3 meters shorter than twice its width. Find its dimensions. 6. 7. (5 points) Two legs of a right triangle are two consecutive even integers while its hypotenuse is 10 inches. Find the measure of both legs. 7. Page 5 of 5 Study Guide 10 Total Points: 50