algebra study guide 2

No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 1. (3 points) Solve, graph, then give your final answer in set-builder notation: −8 ≤ 4x − 6 < 2 -2 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 1. 2. (4 points) Solve, graph, then give your final answer in interval notation: −1 ≤ −3x + 5 ≤ 5 -2 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 2.5 3.0 2. 3. (3 points) Solve, graph your solution: −10 ≤ −4x − 6 < 2 -2 Page 1 of 4 -1.5 -1.0 -0.5 0.0 0.5 Study Guide 2 1.0 1.5 2.0 Total Points: 50 4. (3 points) Solve: |4x − 7| = 9 4. 5. (3 points) Solve: |5x + 9| = |2x − 6| 5. 6. Solve (a) (1 point) |2x − 3| = −4 (a) (b) (2 points) |2x − 3| = 0 (b) 7. (3 points) Consider interval notation: y = −3x + 2 , solve, graph, then give your final answer in −1 ≤ y ≤ 5 -2 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 7. Page 2 of 4 Study Guide 2 Total Points: 50 8. (2 points) Solve |2x − 1| + 5 < 0 . 8. 9. (2 points) Solve |3x + 4| + 5 > 1. 9. 10. (4 points) Solve 2|4x + 3| − 1 ≤ 5 , and express your answer in interval notation. 10. 11. (4 points) Solve notation. −3|2x − 5| + 4 ≤ −2 , and express your answer in set–builder 11. 12. (4 points) Solve −2|2x+3|+1 ≤ −5 , and express your answer in interval notation. 12. Page 3 of 4 Study Guide 2 Total Points: 50 13. Algebra Review Problems: (a) (2 points) Simplify: x2 − 9 x2 − 6x + 9 (a) 4 (b) (2 points) Simplify: 2 x2 − 5x − 14 ÷ x2 − 4 (b) 4 (c) (2 points) Simplify: x2 − 25 − 2 x−5 (c) (d) (2 points) Solve for y, and write your final answer in slope–intercept form: 3x − y − 4 ≤ −2x + 3y + 4 (d) (e) (2 points) Find the equation of a line that contains (3, −1) with zero slope. (e) (f) (2 points) Find the equation of a line that contains (4, 0) with no slope. (f) Page 4 of 4 Study Guide 2 Total Points: 50