Algebra II Semester 2 Practice Final _18 Pages

ID: A
9. Solve. Check for extraneous solutions.
6x = 24 − 12x
a.
2
3
b. −1
c.
2
and −1
3
d. − 2 3
10. Find the product ( 5x − 3)(x − 5x + 2).
a. 5x 4 − 3x 3 + 25x 2 − 5x − 6
b. 5x 4 − 3x 3 − 25x 2 + 25x − 6
c. 5x 3 − 28x 2 + 25x − 6
d. 5x 3 + 22x 2 − 5x − 6
11. Factor the expression.
x 3 − 27
a. (x − 3)(x 2 − 3x + 18)
b. (x − 3)(x 2 + 3x + 9)
c. (x + 3)(x 2 + 3x + 9)
d. (x + 3)(x 2 − 3x + 9)
12. Solve the equation. Check the solution.
5
3k + 1 k =−3
8
a.
3
b. − 8 9
c. − 16
9
d. − 1 2
13. Find the center and radius of the circle with
equation ( x + 8) + Ê
Ë
Á y − 8ˆ¯˜ = 16.
a. (8, –8); 16
b. (–8, 8); 4
c. (8, –8); 4
d. (–8, 8); 16
14. Solve the equation.
x − 9 − 10 =−5
a. 25
b. 34
c. 16
d. 14
15. Solve log(3x + 11) = 2.
a.
89
3
b.
100
3
c. −3
d. 89
16. Divide using synthetic division.
(x 4 − 18x 3 + 44x 2 + 55x − 28) ÷ (x − 4)
a. x 3 + 10x 2 + 68x + 41
b. x 3 − 18x 2 + 10x + 41
c. x 3 − 14x 2 − 12x + 7
d. x 3 − 12x 2 + 7x − 14
17. Solve the equation. Check the solution.
d + 7
d − 4 = d − 5
d + 2
1
a.
3
17
b.
c.
9
17
5
d. − 17
5
18. Divide 4x 3 + 2x 2 − 2x + 3 by x + 3.
a. 4x 2 + 14x − 32, R 87
b. 4x 2 − 10x + 28
c. 4x 2 + 14x − 32
d. 4x 2 − 10x + 28, R –81
3
19. Simplify 48a 13 b 12
positive.
a. 2a 4 3
b a
b. 6a 4 b 4 3
2a
c. 2a 4 b 4 6a
3
d. none of these
. Assume that all variables are
2