MAT115 – Chapter 5,6-7 Cumulative Test - Week 6

Student Name: Senecia Spruell______

Instructions: For each question below, show your steps taken to get the final answer in the “Your Solution” column. Then, restate the final answer in the last column. If the problem includes units of measure, be sure to include the units (e.g. “45 feet” or “32.1 meters”).

Be sure to put your full name at the top next to "Student Name". Then, when you finish your work, save your Word document using the following file naming convention: LastnameFirstinitial-Wk6-CumulativeTest.doc In other words, if Steve Jones is submitting the Week 2Cumulative Test, his Word document would be named:

JonesS-Wk6-CumulativeTest.doc

Below are the problems included on this test. Good Luck!

Problem
Number / Your Solution / Final Answer (Restate Your Final Answer Here)
1 / Solve for the unknown:
Your Solution
Cross multiply:
10*1.8 = 2/3 r
18 = 2/3 r
Multiply by 3/2:
r = 27 / r = 27
2 / Write a proportion that is equivalent to the statement: If 4 pizzas can feed 7 people, then 12 pizzas can feed 21 people.
Your Solution
Set the ratios equal to each other.
4/7 = 12/21 / 4/7 = 12/21
3 / A basketball player scored a total of 85 points in the first five games of the season. If he continues at the same pace, how many points should he score in the 20-game season?
Your Solution
Set up a proportion:
85/5 = x/20
Cross multiply:
5x = 85*20
x = 85*20/5
x = 340 / 340 points
4 / A computer transmits 22 Web pages in 4 seconds (s) to a Web server. A second computer transmits 154 pages in 24 s to the server. Are these two computers transmitting at the same speed?
Your Solution
Set up a proportion
22/4 = 154/24
Cross multiply to check:
4*154 = 616
22*24 = 528
They aren’t equal / NO
5 / Find the best buy on cashews
10 oz for $4.79
1 lb for $6.29
1 lb 4oz for $7.29
Your Solution
$4.79/10 = $0.479/oz
1 lb = 16 oz
$6.29/16 = $0.393125/oz
1 lb 4 oz = 20 oz
$7.29/20 = $0.3645/oz / 1 lb 4oz for $7.29
6 / Rewrite the statement, using percent notation.
Out of every 100 eligible people, 59 voted in a recent election.
Your Solution
59 out of 100
= 59/100
= 59%
59% of eligible people voted in a recent election. / 59% of eligible people voted in a recent election.
7 / Write the fraction as a percent.
(exact value)
Your Solution
7/11 = 0.63636363…
= 63.636363…%
__
= 63.63% / __
63.63%
8 / An electrician marks up copper wire 25% over cost. When wiring a new home, the electrician spent $290 on copper wire. How much will he charge the homebuilder for the wire?
Your Solution
25% = 0.25
+ the cost (1) = 1.25
Multiply:
1.25*290
= $362.50 / $362.50
9 / 12% of 200 is what number?
Your Solution
12% = 0.12
0.12*200 = 24 / 24
10 / If $7,800 is deposited into an account paying 6% interest compounded annually (at the end of each year), how much money is in the account after 2 years?
Your Solution
P*(1+r)^t
7800*1.06^2
= 8764.08 / $8764.08
11 / A chemist has 400 milliliters (mL) of solution that is 21% acid. How many milliliters of acid are in the solution?
Your Solution
21% = 0.21
400 mL * 0.21
= 84 mL / 84 mL
12 / On a test, Abbey had 75% of the problems right. If she had 48 problems correct, how many questions were on the test?
Your Solution
75% = 0.75
48/0.75
= 64 / 64 questions
13 / A railing for a deck requires pieces of redwood 3 ft 8 in., 13 ft 5 in., and 10 ft 3 in. long. What is the total length of material that is needed?
Your Solution
Add the inches: 8+5+3 = 16 inches = 1 foot, 4 inches
Add the feet: 3+13+10+1 = 27 feet
Total: 27 ft, 4 inches / 27 ft, 4 in
14 / Solve.

Your Solution
Add the hours = 29 = 1 day + 5 hours
Add the days: 4+5+1 = 10 = 1 week + 3 days
Add the weeks = 8+5+1 =14 weeks
= 14 weeks, 3 days, 5 hours / 14 weeks, 3 days, 5 hours
15 / Find the square root.

Your Solution
11 times 11 = 121, so the answer is 11 / 11
16 / Is the object a line, a line segment, or neither?

Your Solution
It only goes between G and H and doesn’t go further, so it’s a line segment / Line segment
17 / Label the triangle as acute, obtuse, or right.

Your Solution
The angles are all less than 90 degrees, so acute / acute
18 / A tree casts a shadow that measures 6 ft. At the same time, a yardstick casts a shadow that is 4 in. long. How tall is the tree?

Your Solution
1 yard = 36 inches
6 feet = 72 inches
Proportion:
36/4 = x/72
Cross multiply:
4x = 72*36
x = 72*36/4
x = 648 inches = 54 feet / 54 feet
19 / Find the missing length of the right triangle.

Your Solution
Pythagorean Theorem:
a^2 + b^2 = c^2
a^2 + 48^2 = 50^2
a^2 = 50^2 – 48^2
a^2 = 196
square root:
a = 14 / 14
20 / Find m2.

Your Solution
Let’s assume that the two horizontal lines are parallel. (It doesn’t say, but we need to assume it)
Using alternate angles:
Angle 2 = the given angle = 65 degrees / 65 degrees

END OF CUMULATIVE TEST