Name ______

Date ______

MAT115

Test 1

Chapters 1 and 2

25 problems – 4 points each

100 points possible

Solve all problems and attach your solutions document in your Individual Forum (IF). Remember to show all steps and check your work carefully.

Correct
Solution? / Appropriate Steps Shown? / Credit Earned per Problem
Y / Y / Full Credit
Y / N / Partial Credit
N / Y / Partial Credit
N / N / No Credit
Grading -
Comments
1. / Evaluate.

Given expression = 10/(4 + 3) = 10/7
2. / Evaluate:
=
Given expression = 15 - (12/4 * 3) + (12/4 * 3) = 15 - 9 + 9 = 15
3. / Multiply and write your answer in simplest form.

Given expression = 25/8 * 4/9 * 5/4 = 125/72
4. / Multiply and write your answer in simplest form.

Given expression = 9/(2 * 7) = 9/14
5. / Divide and write the result in simplest form.

Given expression = 15 * (2/3) = 10
6. / Divide and write the result in simplest form.

Given expression = (6/7) * (3/2) = 9/7
7. / Divide and write the result in simplest form.

Given expression = (7/4) / (11/8) = (7/4) * (8/11) = 14/11
8. / Find the prime factorization for 264.
264 = 2 * 2 * 2 * 3 * 11 = 2^3 * 3^1 * 11^1
9. / Find the greatest common factor (GCF) for 75, 195, and 325.
75 = 3^1 * 5^2, 195 = 3^1 * 5^1 * 13^1 and 325 = 5^2 * 13^1
The GCF is 5^1 = 5
Real World Applications (Remember to show all steps.)
10. / The scale on a map is 1 inch (in.) = 80 miles (mo.). If two towns are 2 in. apart on the map, what is the actual distance in miles between the towns?
Let the distance be x miles. Then we have
1: 80 = 2 3/8: x
1: 80 = (19/8): x
c = 80 * (19/8) = 190 miles
11. / A computer can execute 64 instructions per microsecond. How many
instructions can it execute in 10 minutes?
A microsecond is One millionth (10 -6) of a second
Let the number of instructions be x. Then we have
1: 64 = (10 * 60 * 10^6): x
x = 64 * 10 * 60 * 10^6 = 3.84 * 10^10 instructions
12. / On a test of 40 questions, Dave answered 16 correctly. On another
test, Dave answered 48 correctly out of 140. Did Dave get the same
portion of each text correct? Show work for full credit.
On the first test Dave got 16/40 = 4/10 = 0.4 fraction correct
On the second, he got 48/140 = 12/35 = 0.3428 correct
Dave did not get the same portion correct. He got more correct on the first test.
13. / Porfirio went shopping for some clothes. He bought a shirt for $55.98,
a pair shoes for $93.19, a hat for $27.95, a coat for $115.85, and socks
for $13.29. Estimate to the nearest dollar the total amount of Porfirio's
purchases.
The estimate is 56 + 93 + 28 + 116 + 13 = $306
14. / Estimate the result in the following division problem. (Remember to
round divisors to the nearest ten and dividends to the nearest
hundred.)
4,775 divided by 164
The estimate is 4800/160 = 30
15. / Pepe counted 57 half-gallons of orange juice in his store. What is the
amount of orange juice as a mixed number of gallons?
The amount is 57 ½ gallons
16. / You make $140 a day on a job. What will you receive for working day?
You make (1/2) * 140 = $70
17. / A plate glass window measures 4 ft by 6 ft. If glass costs $7 per
square foot, how much will it cost to replace the window?
Area of the window = 4 * 6 = 24 ft^2
Cost = 24 * 7 = $168
18. / The Hsiens drove 334 miles on the first day of their family vacation
and 289 miles on the second day. How far did they drive in those
2 days?
Total distance driven = 334 + 289 = 623 miles
19. / Find the perimeter of the figure.

Perimeter = 10 + 8 + 5 = 23 yards
20. / Find the area of the figure.

Area = Area of the rectangle of length 15 ft and width 12 ft - Area of the rectangle of length 5 ft and width 4 ft
= 15 * 12 - 5 * 4 = 160 ft^2
21. / Find the volume of the solid shown.

Volume = lwh = 6 * 6 * 12 = 432 in^2
22. / Lupe has $134 in cash and wants to buy a computer monitor that costs $689. How much more money does she need?
Lupe needs 689 - 134 = $555 to move
23 / A stack of plywood is 31 in. high. How many sheets of
plywood are in the stack?
Number of ply woods in the stack = 31/(1/2) = 31 * 2 = 62
24. / A college bookstore ordered 375 copies of a textbook at a cost of
$21,000. What was the cost to the store for an individual textbook?
Cost per text book = total cost/total books
= 21000/375 = $56
25. / The gas tank in Giorgio's car holds 24 gal when full. The car gets 28
mi/gal. How far can he travel on 2 full tanks?
With one full tank, he can travel 28 * 24 = 672 miles
With 2 full tanks, he can travel 2 * 672 = 1344 miles.

MAT115 Test 1 Page 1 of 5