Algebra II Semester 2 Practice Final _18 Pages

ID: A
30. Use synthetic division to find P(–4) for
P(x) = x 4 + 8x 3 + 2x 2 + 5x − 9.
a. –253
b. –4
c. –73
d. 765
31. Expand the logarithmic expression.
log 4
8k 4
a. log 4
8 − 4 log 4
k
b. log 4
8 + 4 log 4
k
c. log 4
8 ⋅ 4 log 4
k
d. 8log 4
k 4
32. Divide using synthetic division.
(x 4 − 12x 3 + 20x 2 + 36x − 45) ÷ (x − 3)
a. x 3 − 9x 2 − 7x + 15
b. x 3 − 7x 2 + 15x − 9
c. x 3 + 6x 2 + 34x + 6
d. x 3 − 12x 2 + 6x + 6
33. Use natural logarithms to solve the equation. Round
to the nearest thousandth.
2e 4x + 11 = 22
a. 0.426
b. –2.151
c. 0.300
d. 0.701
34. Solve the equation.
x + 9 − 8 =−4
a. –5
b. 16
c. 25
d. 7
35. Use natural logarithms to solve the equation. Round
to the nearest thousandth.
8e 4x + 11 = 30
a. 0.216
b. 0.409
c. 0.092
d. –2.420
36. Multiply or divide. State any restrictions on the
variables.
x 2
x − 4 ⋅ x 2 + x − 20
x 2 + 4x
a.
b.
c.
d.
x 2 + 5x
x + 4 , x ≠ 4, − 4
x 2 + 5x
, x ≠ 4, 0, − 4
x + 4
x + 5
, x ≠ 4, 0, − 4
x + 4
x + 5
x + 4 , x ≠ 4, − 4
37. Write the equation in logarithmic form.
4 2 = 16
a. log 16 = 2
b. log 16 = 2 ⋅ 4
c. log 4
16 = 2
d. log 2
16 = 4
4