Algebra 2 Semester 2 Practice Final Summer 13

ID: A
64. Simplify the rational expression. State any
69. Simplify the complex fraction.
restrictions on the variable.
3
q 2 + 11q + 24
4y − 2 y
q 2 − 5q − 24
1
y + 3 2y
65. Solve the equation. Check the solution.
−2
x + 4 = 4
70. Solve the equation. Check the solution.
x + 3
a
a 2 − 36 + 2
a − 6 = 1
a + 6
66. Multiply or divide. State any restrictions on the
variables.
x 2 − 16
x 2 + 5x + 6 ÷ x 2 71. Write an exponential function for the graph.
+ 5x + 4
x 2 − 2x − 8
67. Add or subtract. Simplify if possible.
w 2 + 2w − 24
w 2 + w − 30 + 8
w − 5
68. State the property or properties of logarithms used
to rewrite the expression.
log 20 625x 4 = 1 5 log 5x
72. Graph y = 76 () x + 2 + 1.
73. Evaluate the logarithm.
log 5
1
625
74. Write the equation log 32
8 = 3 5
in exponential form.
Write the expression as a single logarithm.
5log b
q + 2log b
y
78. Write the expression as a single logarithm.
log 3
4 − log 3
2
75. State the property or properties of logarithms used
to rewrite the expression.
log 5
6 − log 5
2 = log 5
3
76. State the property or properties of logarithms used
to rewrite the expression.
2log6 + log 1 3
= log 12
77.
79. Expand the logarithmic expression.
log 7
n
2
80. Expand the logarithmic expression.
57
log b
74
81. Solve 15 2x = 36. Round to the nearest
ten-thousandth.
4