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MAT 1033A. Test 4 Review and Practice Solutions. Calculators and calculating devices are strictly prohibited. Tests may not be made up for any reason other than a mandatory school – sponsored activity for which you must miss class.
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MAT 1033A Test 4 Review and Practice Solutions
Calculators and calculating devices are strictly prohibited. • Tests may not be made up for any reason other than a mandatory school – sponsored activity for which you must miss class. • If you miss one test for any other reason, your final exam score will be substituted for that test. A second missed test is a zero. No homework bonuses are awarded on a test when the final exam is substituted or you receive a zero on a missed test.
Be sure to complete at least 80% of your pie for Objective 4 to receive the 10 point bonus. Your percentage must be at least 80.0% to receive the bonus.
(1) Simplify completely. a) b)
(2) Simplify completely. a) b)
(3) Find the domain of the radical function. Write your answer in interval notation.
(4) Simplify completely. b) 81−1/4 c) −361/2
(5) Simplify completely. a) 52/3 ∙ 57/3 b)
(7) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
(8) Simplify completely. Assume all variables represent nonnegative numbers. b)
(9) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
(10) Add or subtract as indicated. Simplify completely. Assume all variables represent nonnegative numbers. a)
(11) Multiply. Simplify completely. Assume all variables represent nonnegative numbers. b) (9 + ) (9 − ) c) ( + )2 a)
(15) Simplify completely. a) b) c)
(16) Perform the indicated operation and simplify. a) (7 + 2i) – (3 – 5i) b)
(17) Perform the indicate operations and simplify. a) (9 + 3i)(2 − 5i) b)
(18) Complete the square for each expression. Indicate the number that goes in the box and factor the trinomial completely. a) The number that goes in the box is 49. The trinomial factors as b) The number that goes in the box is 100. The trinomial factors as
(19) Solve by completing the square. You must solve by completing the square to receive credit.
(20) Solve by the quadratic formula. You must solve by the quadratic formula to receive credit.
1) Simplify completely. a) b)
1) Simplify completely. a) b)
2) Simplify completely. a) b)
2) Simplify completely. a) b)
(3) Find the domain of the radical function. Write your answer in interval notation.
(3) Find the domain of the radical function. Write your answer in interval notation.
4) Simplify completely. b) 64−4/3 c) −251/2
4) Simplify completely. b) 64−4/3 c) −251/2
5) Simplify completely. a) 257/16∙ 251/16 b)
5) Simplify completely. a) 257/16∙ 251/16 b)
7) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
7) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
8) Simplify completely. Assume all variables represent nonnegative numbers. b)
8) Simplify completely. Assume all variables represent nonnegative numbers. b)
9) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
9) Simplify completely. Assume all variables represent nonnegative numbers. a) b)
10) Add or subtract as indicated. Simplify completely. Assume all variables represent nonnegative numbers.
10) Add or subtract as indicated. Simplify completely. Assume all variables represent nonnegative numbers.
11) Multiply. Simplify completely. Assume all variables represent nonnegative numbers. b) (+ ) () c) ()2 a)
11) Multiply. Simplify completely. Assume all variables represent nonnegative numbers. b) (+ ) () c) ()2 a)