# Give yourself enough space to show all of your work.

August 30, 2017

Question
College Algebra
Math 110
Module 8
Give yourself enough space to show all of your work.
of your work; you may be able to earn partial credit for your thought process even if a
computational error led you to the wrong answer.
1. Simplify the following, combining like terms:
3[4( x 3 y 1)] {[4(7 x y ) 4] [2(6 x y )]}

2. Find the LCM of 120 and 572.
3. Find the equation of the line that goes through the following two points:
2, 3 and –4, 7
4. The cost to ship a package from Chicago to Flagstaff is \$8.30 per pound for the first 3
pounds and \$4.65 per pound for each additional pound. Find the cost to ship a 9-pound
package from Chicago to Flagstaff.
5. Find a line parallel to 5 x 2 4 y 13 4 y 2 x
6. Solve the following inequality: 6(3.1 2.8 x) 9.5 x 4.9
7. Simplify the following, combining like terms:
(5ab3 4a 2 b)(a 2b 2 2a 3b 1 9a 7b 3 )

8. Solve the following precisely for y:

9. Simplify the following:

y 2 10 y

4 7 2

5 1
21 20 6
/4 * /
3 3
5 7 7

10. Find the GCF of 630 y 4 x 4 , 2772 x 5 y 2 ,1134 x 7 y 5

11. Factor: 81t 4 54 wt 3 16 w2t 2
12. Solve: 7 y 2 2 y 8 y 2 5 y 6 5 y 2

13. Multiply and simplify, if possible, the following:

14. Simplify the following as much as possible:

15. Solve the following:

8 x 2 16 x x 3 3x
*
x 2 x 20
x4

7y
y4
5
2
2
.
2
3y y
2 y 14 y 24 2 y 8 y

4
x
6

2
x 7 2 x 10 x 2 x 35

16. If it takes 8 people 53 hours to paint a house, how long will it take 7 people to paint
the house (assuming they all work at the same rate)?
17. Determine if the ordered pair (–2, –6) is a solution to the following system:
2 x 4 y 20
3.5 y 10 x 1 0

18. Solve the following system of equations:
3t 4 s 11
s 8 3t 3t 11
19. Solve the following system of equations:
1
7
x 5y
2
4
3
29
4x y
2
2

20. Multiply and simplify the following: 8 3 7 4 3 7

21. Solve the following for x: 15 x 11 x 3

22. Simplify the following as much as possible:

23. Divide and simplify the following:

24. Multiply and simplify the following:

75
17
5
*
/
22
30 88

294q 9 r 5 s 6
3q 2 s12 r

30r 7 s 3t 2 r * 120t 4 s 7

25. Solve the following for x: 15 x 2 294
26. Find the x- and y-intercepts of y 3x 2 7 20 x
2 2 y2 1
y

7
5
2
Find g (4).

27. g ( y )

28. Solve the following for r:

6r 5t s 4 0

29. Solve the following for x: ( x 4)( x 6) x 6
30. Two cars start off 840 miles apart. They begin driving towards one another, with one
car going 38 miles per hour faster than the other. If it takes 5 hours for the two cars to
meet, how fast is each car traveling?

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