BASIC ALGEBRA
EXAM 2 RR NAME _____________________
SHOW ALL WORK ON
THIS TEST OR ON SEPARATE PAPER. Circle answers.
TURN IN ALL
WORKSHEETS. CALCULATORS ARE PERMITTED ON THIS TEST.
In 1 - 7,
multiply the expressions:
1. 7(2x + 5)
2. –4x(3x - 5)
3. (x + 2)(x + 5)
4.
(x –
5y)(x + 5y)
5. (2x + 3)(x - 6)
6. (2x + 5)2
7. (x - 2)(x2 - 3x + 7)
In 8 - 21,
factor completely.
8. ax - ay
9. 3x2
+ 6x
10. x2 - 2x - 8
11. x2
+ 13x + 30
12. x2 + x - 30
13. x2
- 36
14.
x2 + 20x + 36
15. 3x2
- 8x + 5
16. 3x2 + 23x + 14
17.
3x3
+ 12x2 + 9x
18. x4
- 16
19. x4 - 13x2
+ 36
20. ax + bx + 4a
+ 4b
21. x3
- 2x2 - 25x + 50
In 22 - 27,
solve for x.
22. (x - 9)(x +
4) = 0
23. x2
- 7x = 0
24.
x2
- 2x – 15 = 0
25. x(x + 5) = 24
26.
x2
= 3 + 2x
27. 3x2 – 27x + 60 = 0
28-29.
According to the Theorem of a) __________, where a and b
are b) ________ and c is the c) __________, it may be concluded
that d) ____________.
In 30 – 33,
find the value of x. Round to nearest hundredth if necessary.
[NOTE:
These are supposed to be triangles, but I'm having trouble with pictures in
html!! Sorry! You'll have to draw your own triangles!]
30.
Find x:
31. Find x:
32. Find x
(Legs: x
and 5; Hyp 13) (Legs: 6 and 8, Hyp
x)
(Legs: 8 and 5, Hyp x)
33.
Find the width of a rectangle whose diagonal is 37 and whose length is 35.
In
34 - 47, simplify using the laws of exponents. Eliminate all negative
and zero exponents.
34.
x6·x3
35.
36. (x3)4
37.
38.
4x0
39.
(4x)-1
40.
4x-1
41.
(4x)-2
42.
43.
44.
45.
46.
47.
In
48 - 51, express answers in scientific notation.
48.
0.000235
49. 420,000,000
In
50 – 51, calculate (with or without a calculator).
Give
answers in scientific notation.
50.
500,000 • 8,000,000
51.
Return
to
top of page
Return to main page
SCC main page
BASIC ALGEBRA
EXAM 2 RR Solutions
Return
to
top
of page
Return to main page
SCC main page
: View Source, Show