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.
BASIC ALGEBRA EXAM 2 RR Solutions
