Download Part I

Math 017 Review for Final Exam
Part I
1. Write all of the factors of each of the following.
(a) 80
(b) 76
(c) 96
(d) 24
2. Write the prime factorization of each of the numbers in problem 1 above.
3. Find the least common multiple (LCM)
(a) 24 and 18
(b) 16 and 18
(c) 12 and 15
4. Reduce completely.
24
28
(a)
(b)
32
42
5. Compute.
6 15

(a)
25 16
(b)
3 5

4 8
(d) 15, 18, and 27
(c)
21
35
(d)
12
30
(c)
8
4

21 15
3
5
(d) 6  4
8
9
6. Draw and label a scale on the number line and plot and label the points:
3
A 2.6
B 4
C 5
D 2
4
7. Compare:
(a)  4 __________________  3
(c)  2 __________________  5
(b) 1.9 __________________  4.8
(d)  0.02 ______________  0.009
8. Compute.
(a)  9
(b) 6   4
(c) 32   4
(h) 6.7   4.1
(i)  45  58  33
3
7
(d)  4 2 6
(g) 14  43  5
2
(e)  3 4  8
9. Evaluate.
x y
(a)
for x = 9 and y = 21
6
(b)
10. Translate to an algebraic expression:
(a) 8 added to b
(b) three times a
(f)  6   12   9   19  8


4x
when x = 6 and y =  8
y
(c) c divided by 2
11. Use the formula
(a) C  5( F  32) / 9 to convert 26.6o F to Celsius.
(b) F  9 C 5  32 to convert  13 o C to Fahrenheit.
(d) 9 subtracted from x
Math 017 Review for Final Exam
Part I
12. Without doing any calculations say which property of real numbers justifies each statement.
Assume any letters represent real numbers.
(a) 51723  23517
(d) 0  x  x
(b) 1  4  x  1  4  x
(e) 8      8
(c) 5x  8x  5  8x
(f) 23x  4  23x  24
13. Simplify and on each step state the property of real numbers used.
(a) 2x  83x  2
(b) 3x  2 y    5x  8 y 
(c) 8  2 x  6
14. Simplify each of the following.
(a) 8x  6 y  32x  9 y 
(d) 3x  7 y  2 x  8 y
(b) 432  12  8
(c) 34  253x  7  3  43x  8
(e)  9  6 4
42  24  8  5
(f)
32  1
15. Solve for x and on each step state the properties used.
(a) 43x  6  8  44
(b) 3x  8  29
16. Solve for x and check your answer by replacing x with your answer in the original equation:
(a) 2x  6  8x  36
(b) 3x  4  8  2x  4
17. Solve for x:
2
5 7
x 
(a)
3
8 9
(c) 52x  3  4x  9  8x  7
(e) 3x  5  5x  9
(g) 32x  8  9  4x  9  2x
18. Solve
(a) D 
CS
t
for S.
(b) 0.3x  0.8  0.9x  1.3
(d) 6  43  23x  7  5(3x  1)  7 x
(f) 42 x  3  6  5x  10
(h) 5x  6  3x  10  2x
(b) C  2 r
for r.
19. Solve for x and sketch the graph on the number line.
(a) 4x  3  5x  3
(b)  2 x  11
(c) C  5F  32 / 9 for F.
(c) 2x  8  4x  1
Math 017 Review for Final Exam
Part I
20. Using the graph below:
(a) estimate the stock price at 11am. (b) estimate the time of the lowest stock price.
21. Plot and label the points A3,5, B6,1, C  4,3, D0, 3 12 , E 2,0 .
22. Plot at least 5 points and sketch the graph.
(a) y  x 2  6
(b) y  x  4
(e) y  2 x  5
(f) 2 x  5 y  15
23. Use algebra to solve the following.
(a) 65 is 13% of what number?
(c) 64 is what percent of 80?
1
x2
(g) 2 x  6 y  0
(c) y 
(d) y  2
(h) x  3
(b) What is 38% of 45?
(d) 33 is 12% of what number?
(e) If a restaurant bill including a 15% tip comes to $37.95 how much was the original bill?
(f) You sell newspapers for 70 cents each at a newsstand. You pay 45 cents for each newspaper
sold and you also pay $200 to rent the newsstand. How many newspapers do you need to sell in
order to break even?
(g) If an 81-inch pipe is cut into two pieces such that one piece is twice as long as the other, how
long is each piece?
(h) Find two consecutive integers such that twice the first integer added to three times the
second integer is 93.