8/14 OL1 1. Consider the interval [0, ). For each numerical value below, is it in the interval or not? Just answer Yes or No for all parts (a to f). No work is required. (a) 07 (b) - 2 3 (c ) | - 4 | (d) 6.2 10 -2 (e) (-2) -2 (f) 4 2. Write the interval notation corresponding to the set notation {x | x < -2}. 3. Perform the indicated operations and simplify: (2 -1 + 4 -1) 1 . Show work. 4. Perform the indicated operations and simplify: 50 23 (5)2 42 Show work. Note: is a multiplication symbol here, not a variable. 5. Solve the absolute value inequality | 4x - 2 | 6. Show work. Write the solution in interval notation. 6. Solve the absolute value inequality | notation. 8 - 2x | 12. Show work. Write the solution in interval 7. Simplify: 3218+4 4 2 Show work. Give the exact answer (including a radical). Decimal approximations are NOT exact answers. 8. Factor and simplify the following terms. Show work. (a) 16x2 - 49 (b) 2x2 - 5x - 3 9. Perform the indicated operations and simplify to a polynomial in standard form. Show work. (x + 5)(2x - 2) - (x - 2)2 10. Solve the equation: x(x + 2) = 8. Show work. 11. Solve the equation: 2(4 - x) = 3(x + 1). Show work. 12. Simplify: 2 2 2 4 +1 1 + 2 . Show work. 8/14 OL1 1. Consider the interval [0, ). For each numerical value below, is it in the interval or not? Just answer Yes or No for all parts (a to f). No work is required. (a) 0 7 (c ) | - 4 | (d) 6.2 10 -2 (e) (-2) -2 (f) 4 (b) - 2 3 2. Write the interval notation corresponding to the set notation {x | x < -2}. 3. Perform the indicated operations and simplify: 4. Perform the indicated operations and simplify: (2 -1 + 4 -1) 1 50 23 (5)2 4 2 . Show work. Show work. Note: is a multiplication symbol here, not a variable. 5. Solve the absolute value inequality | 4x - 2 | 6. Show work. Write the solution in interval notation. 6. Solve the absolute value inequality | 8 - 2x | 12. Show work. Write the solution in interval notation. 7. Simplify: 32 18 + 4 2 Show work. Give the exact answer (including a radical). Decimal approximations are NOT exact answers. 8. Factor and simplify the following terms. Show work. (a) 16x2 - 49 (b) 2x2 - 5x - 3 9. Perform the indicated operations and simplify to a polynomial in standard form. Show work. (x + 5)(2x - 2) - (x - 2)2 10. Solve the equation: x(x + 2) = 8. Show work. 11. Solve the equation: 2(4 - x) = 3(x + 1). Show work. 12. Simplify: 2 1 + + 2 2 4 . Show work