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Mr. Ponder M102 Show all work! Test 3 Name:___________________________ Date:______________ Solve the following absolute value equations and inequalities. Express your solutions using interval notation where appropriate. 1. 3. x 8 2 2x 3 5 Graph the following interval. 5. ( 3, ) ( , 4 ] 2. 4. 2x 3 3 5 3x 1 5 Sec:________ Mr. Ponder 6. A Test 3 = { The set of even integers} a) Find AB Name______________________ P. 2 B b) = {The set of odd integers} AB 7. Multiply. Assume that all variables represent nonnegative, real numbers. a. x 2 x 3 b. x 2 x 2 Simplify. Assume that all variables represent nonnegative numbers. 8. 9. 3 2x 3 y 2 3 8x 2 y 4 288 x 5 y 7 10. 3 34 a 3 b5 37 a 2 Mr. Ponder Test 3 Name______________________ P. 3 Add or subtract. Simplify by collecting like radical terms, if possible. 11. 4 3 32 5 3 108 2 3 4 12. Rewrite with rational exponents and simplify. 5 243 x15 y10 13. Rationalize the denominator. 4 x2 14. Simplify. Assume that variables can represent any real number. 4 16 x 4 y 8 Bonus. Solve the radical equation: x 1 5x . Hint, square both sides.