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Pre-Calculus: Algebra I and Algebra II Review Day 1 (Don’t forget to show work where necessary) Answers without work = no credit Write the expression using exponents: 1. (-7)(-7)(-7)(-7) 2. (2x 2x 2x) + 5 3. 2 to the nth power Evaluate the expression: 4. (-4) 2 5. - 2 4 6. 24 (1 1) 4 4 7. 1 (5 2 10) 5 Evaluate the expression for the given value of x: 8. 3 x 2 2 x when x = -2 9. 2 x 2 (4 2 x) 2 when x = 4 1 10. 7 x 3 when x = -2 2x Evaluate the expression for the given values of x and y 11. x 2 2y 2 when x=3, y=2 Solve the equation and check your solution 12. 3 – x = 2 13. -14 + 2x = 6 14. ½ x + 1 = 13 15. x + 6 = 3(3 – x) 16. 1 (14 x 2) 3(2 3 x) 2 Name: Substitute the given value of x into the equation. Then solve the equation for y: 17. 7x – 3y = 6 when x = 3 Solve the formula for the indicated variable: 18. Solve for c: P = a + b + c 19. Solve for h: S = 2πrh 20. Solve for b1 : A = ½ (b1 + b2)h Graph the solution of the inequality on a number line 21. 0 < x < 3 22. x < -2 or x > 1 Solve the inequality and graph the solution on a number line 23. x – 5 > 9 24. -3x + 7 < -8 25. 2 < x + 3 < 5 Solve the absolute value equation or inequality and check the solutions (remember you need to consider both positive and negative values): 26. |x – 3| = 5 27. |2x + 6| = 12 28. |3x – 3| = 8 29. |x – 3| < 8 30. |2x – 3| > 5