Download Math-80-E3

Math-80-Practice Exam #3 (Chapter 7 & 8)
Name___________________________________
Instructions: Show all work neatly. Answers without support will receive no credit. Your answers will be evaluated on
the correctness, completeness and use of mathematical concepts we have covered.
Find the square root. Assume that all variables represent positive real numbers.
1) 81x6
1)
Find the cube root.
3
2) -125x30y36
2)
Find the root. Assume that all variables represent nonnegative real numbers.
4
3) 81
3)
Use radical notation to write the expression. Simplify if possible.
4) 644/3
4)
Use the properties of exponents to simplify the expression. Write with positive exponents.
5) x5/8 · x 3/8
5)
y3/4
y1/4
6)
7) (b5 )2/5
7)
8) (3p3/5 + 7p4/5 )(3p3/5 + 7p4/5 )
8)
6)
Simplify the radical expression. Assume that all variables represent positive real numbers.
9) 50
10)
175x2 y
9)
10)
Add or subtract. Assume all variables represent positive real numbers.
11) 80 + 320
11)
Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
12) (5 3 + 4)(8 3 + 9)
12)
Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
7 3
13)
13)
11
1
14)
9
2+1
14)
15)
6x - 5 - 5 = 0
15)
Solve.
Solve the equation by completing the square.
16) x2 + 12x = -14
16)
Use the quadratic formula to solve the equation.
17) 2x2 + 10x + 7 = 0
17)
Solve.
18) The product of a number and 4 less than the number is 32. Find the number.
18)
Solve the inequality. Graph the solution set and write the solution set in interval notation.
19) x2 - 2x - 3 < 0
19)
2
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the function with its graph.
20) f(x) = x2 + 4x + 3
A)
B)
C)
D)
3
20)
21) f(x) = -x2 - 4x + 5
A)
21)
B)
C)
D)
Instructions: Show all work neatly. Answers without support will receive no credit. Your answers will be evaluated on
the correctness, completeness and use of mathematical concepts we have covered.
Solve.
22) A rocket is launched from the top of a cliff that is 48 feet high with an initial velocity of 96
feet per second. The height, h(t), of the rocket after t seconds is given by the equation
h(t) = -16t2 + 96t + 48. How long after the rocket is launced will it strike the ground? Round
to the nearest tenth of a second, if necessary.
4
22)
Answer Key
Testname: MATH80-E3-PRACTICEF-14
1) 9x3
-5x10y12
3
256
x
6) y1/2
7) b2
2)
3)
4)
5)
9p6/5 + 42p7/5 + 49p8/5
5 2
5x 7y
12 5
156 + 77 3
7 33
13)
11
8)
9)
10)
11)
12)
14) 9 2 - 9
15) 5
16) -6 - 22, -6 + 22
-5 - 11 -5 + 11
,
17)
2
2
18) -4 or 8
19) (-1, 3)
20) C
21) A
22) 6.5 sec
5