Solved Exam 1 - Elementary Algebra | MATH 017, Exams of Algebra

Material Type: Exam; Class: Elementary Algebra; Subject: Mathematics; University: Community College of Philadelphia; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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Math 017 Review for Exam 1
1. Write all of the factors of each of the following.
(a) 60 (b) 75 (c) 72 (d) 12
2. Write the prime factorization of each of the numbers in problem 1 above.
3. Find the least common multiple (LCM)
(a) 24 and 15 (b) 16 and 7 (c) 12 and 16 (d) 15, 18, and 21
4. Reduce completely.
(a)
54
24
(b)
51
34
(c)
18
12
(d)
33
15
5. Compute.
(a)
15
6
12
5
(b)
16
7
8
7
(c)
18
11
21
5
(d)
6
5
9
2
27
(e)
10
3
8
5
(f)
(g)
8
5
4
3
(h)
7
6
5
3
6. Draw and label a scale on the number line and plot and label the points:
A 3.7 B 5 C 2 D
3
2
1
7. Compare:
(a) 4 __________________ 2 (b) 1.3 __________________ 4.8
(c)
3
2
__________________
5
3
(d) 0.0987 ______________ 0.2
8. Compute.
(a)
8
(b)
35
(c)
424
(d).
853
(e)
823
(f)
768145
(g)
2
52315
(h) 5.8 ( 4.3) (i)
3
26453
9. Evaluate.
(a)
6
yx
for x = 7 and y = 17 (b)
y
x4
when x = 6 and y = 8
10. Translate to an algebraic expression:
(a) 7 added to c (b) twice a (c) c divided by d (d) 6 subtracted from x
11. Use the formula
(a)
9/)32(5 FC
to convert
F
o
14
to Celsius.
(b)
3259 CF
to convert
C 8
to Fahrenheit.
pf2

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Math 017 Review for Exam 1

  1. Write all of the factors of each of the following. (a) 60 (b) 75 (c) 72 (d) 12
  2. Write the prime factorization of each of the numbers in problem 1 above.
  3. Find the least common multiple (LCM) (a) 24 and 15 (b) 16 and 7 (c) 12 and 16 (d) 15, 18, and 21
  4. Reduce completely. (a) 54 24 (b) 51 34 (c) 18 12 (d) 33 15
  5. Compute.

(a) 125  156 (b) 87  16 7 (c) 215 ^1811 (d) 6

5 9

(e) 10 3 8 5  (^) (f)         4 3 3 2 (g) 8 5 4 3   (h)         7 6 5 3

  1. Draw and label a scale on the number line and plot and label the points:

A 3.7 B  5 C 2 D ^132

  1. Compare: (a)  4 __________________  2 (b)  1.3 __________________ 4. (c) 3 2  (^) __________________ 5 3  (^) (d)  0.0987 ______________  0.
  2. Compute.

(a) ^8 (b) 5 ^ ^ ^3  (c) 24 ^ ^4 

(d). ^3 ^ ^5 ^ ^8  (e) ^3 ^ ^2 ^ ^8 (f) ^ ^5 ^ ^ ^14 ^ ^ ^8 ^ ^ ^6 ^ ^7

(g)  

2

15  32  5 (h) 5.8  ( 4.3) (i)  3  5   4  6  23 

  1. Evaluate. (a) (^6) xy for x = 7 and y = 17 (b) y 4 x when x = 6 and y = 8
  2. Translate to an algebraic expression: (a) 7 added to c (b) twice a (c) c divided by d (d) 6 subtracted from x
  3. Use the formula (a) C^ ^5 (^ F ^32 )/^9 to convert 14 oF to Celsius. (b) F^ ^9 C^5 ^32 to convert ^8 ^ C to Fahrenheit.

Answers to Math 017 Review for Exam 1 1.(a) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 (b) 1, 3, 5, 15, 25, 75 (c) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 (d) 1, 2, 3, 4, 6, 12 2.(a) 2 2  3  5 (b) 3 5  5 (c) 2 2  2  3  3 (d) 2 2  3 3.(a) 120 (b) 112 (c) 48 (d) 630 4.(a) 9 4 (b) 3 2 (c) 3 2 (d) 11 5 5.(a) 6 1 (b) 2 (c) 126 107 (d) 18 7 (^4) (e) 40 13 (f) 2 1  (^) (g) 8 11  (h) 10 7

  1. (a) is less than (b) is less than (c) is less than (d) is greater than

  2. (a) 8 (b) 8 (c)  6 (d)  120 (e)  2 (f) 2 (g) 162 (h) 10.1 (i)  31

  3. (a) 4 (b) 3 10.(a) 7 + c (b) 2 a (c) c^^4 (d) x  6 11.(a) ^10 ^ C (b) 17.^6  F