Download ExamView - Pre-Calculus Chapter A Practice Test 2011

Name ___________________________ Period ___
Pre-Calculus Algebra 2 Pracitce Test 2011-2012
1. Simplify:
(x + 2)(5x – 2) – (–3x – 8)
2
3
x y
2. Simplify:
3
3. Evaluate. 27
4. Evaluate. 16
2
3
xy
1
3
3
2
32x 13
5. Simplify.
3
6. Simplify.
54x 2
3
6
x y
7. Simplify:
5
8
5
xy
8. Write the rational expression in simplest form.
(5a 4 b 2 c 3 ) 2
a 5 b 8 c 2
9. Perform the opertation.
x
2

x  7 7x  3
10. Insert the factor in the parenthesis:
ÁÊÁ 9x  8 ˆ˜˜ ÁÊÁ 1 ˜ˆ˜
˜ Á ˜
ÁÁ
Á 2 ˜˜  ÁÁ 2 ˜˜ (
¯ Ë ¯
Ë
11. Insert the factor in the parenthesis: 12x 2  3x  15  3(
)
)
12. Factor the sum of two cubes. x 3  27
13. Factor the difference of two cubes. x 3  64
14. Factor by grouping.
15. Factor.
20x3 – 25x2 – 16x + 20
x 2 (x 2 – 11) 3 + (x 2 – 11) 2
16. Write the interval [–9, 1) in inquality notation, sketch the subset on a real number line, and state whether the
interval is bound or unbound.
17. Write the inequality 9  x  6 in interval notation, sketch the subset on a real number line, and state whether the
interval is bound or unbound.
18. Multiply. (3x  5y) 2
1
ID: A
19. Write the rational expression in simplest form.
2x 2  10x 2x  6

x 2  6x  9 x 2  25
20. Solve the equation. (x  3 )  9
2
21. Stan’s solution to an equation is shown below. Which step below is incorrect?
2x  2(x  9)  14
Given:
2x  2x  18  14
Step 1:
4x  18  14
Step 2:
4x  14  18
Step 3:
4x  4
Step 4:
Step 5:
4x
4

4
4
x 1
Step 6:
22. Solve. 3(3  3x)  4  2(6  2x)
23. Solve. 12x 4  27x 2  0
24. Solve. x  3   17
25. Solve. 3 
30
9

2
x
x
26. Solve. (x  4)
27. Solve.
3
3 2
 125
x3 5 0
28. Identify the leading coefficient. –x + 6x3 + 42x2 – 7
29. Identify the constant. –42x2 – 36 + 6x + 7x3
30. Identify the degree. –7x – 28x2 + 4x3 + 49
2