Name ______Date ______

MAT115 TEST 3

Solve all problems and attach your solutions document in your Individual Forum (IF) by Sunday Midnight. 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

Chapters 5, 6, and 7 Test

25 problems – 4 points each

100 points possible

Problem / Work and Solution / My Comments
1 / Find the unit price for the item: $35.80 for 4 caps. / Take 35.8 divided by 4:
$8.95
2 / Write the ratio of 3 nickels to 3 quarters in simplest form. / 3 nickels = 0.15
3 quarters = 0.75
15 : 75
Divide by 15:
1 : 5
3 / Write the ratio of to 6 in simplest form. / 4 1/3 : 6
13/3 : 18/3
13 : 18
4 / Solve for the unknown: / Cross multiply:
52m=8*39
Divide by 52:
m = 8*39/52
m = 6
5a / Rewrite the statement, using percent notation:
Of 50 houses in a development, 41 are sold. / 41/50 = 0.82 = 82%
Of 50 houses in a development, 82% are sold.
5b / Write 58% as a fraction or a mixed number. / 58% = 58/100 = 29/50
6a. / Write 0.646 as a percent. / Multiply by 100:
64.6%
6b. / Write as a percent. / 6 3/8 = 6.375
Multiply by 100:
= 637.5%
7 / What is 30% of 200? / 30% = 0.3
0.3*200
= 60
8 / 2,350 is what percent of 500? / Divide:
2350/500
= 4.7
Multiply by 100:
470%
9 / Complete the following statements. Show the conversion factor.
a)  475 km = ______mi
b)  38.8 gal = ______L / There are 1.609344 miles per km:
475/1.609344 = 295.15 miles
There are 3.78541178 L per gal:
3.78541178*38.8
= 146.87 L
10 / Subtract and simplify.
/ Subtract gal: 8-3 = 5
Subtract qt: 7-2 = 5
5 gal 5 qt
5 qt = 1 gal 1 qt, so:
6 gal 1 qt
11 / Find the missing angle.
/ Angles add to 180:
180-45-106
= 29 degrees
12 / mÐy=37°
Find the complement of Ðy. / Complements add to 90:
90-37
= 53 degrees
13 / The two triangles are similar.
Find g.
/ Proportion:
15/g = 10.5/15.75
Cross multiply:
10.5g = 15*15.75
Divide by 10.5:
G = 15*15.75/10.5
G = 22.5
14a / Find the square root of / 8, because 8*8 = 64
14b / Approximate by giving the two whole numbers that it lies between. / Sqrt(25) = 5
Sqrt(36) = 6
So it’s between 5 and 6
15 / Find the missing length of the right triangle.
/ Pythagorean Theorem:
a^2+b^2=c^2
10^2+b^2=26^2
b^2=26^2-10^2
b=sqrt(26^2-10^2)
b= 24
Real World Applications
16 / Automobiles and small trucks account for 84% of the travel to and from work in the United States. What fraction represents all other means of travel to and from work in the United States? / Other = 100% - 84%
= 16%
= 16/100
= 8/50
= 4/25
17 / Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works 14 h? / Get the hourly rate:
102.3/8.25 = 12.4
Multiply by the hours:
12.4*14
= $173.60
18 / If a salesman is paid a $2,100 commission on the sale of a $35,000 sailboat, what is his commission rate? / Divide:
2100/35000
= 0.06
Multiply by 100:
6%
19 / On a test, Abbey had 75% of the problems right. If she had 48 problems correct, how many questions were on the test? / 75% = 0.75
Divide:
48/0.75
= 64 questions
20 / A new car depreciates an average of 22% in its first year of use. If the car was worth $16,000 when it was new, what will the car be worth after 1 year? / 22% = 0.22
16000 – 0.22*16000
= $12,480
21a / A community service organization has 13 men and 15 women in its membership. Write the ratio of women to men. / 15 : 13
21b / Brent washes 4 cars in 72 minutes. How many minutes does it take Brent to wash one car? / Divide:
72 divided by 4
= 18 minutes
22 / A chemist has 400 milliliters (mL) of solution that is 21% acid. How many milliliters of acid are in the solution? / 21% = 0.21
0.21*400
= 84 mL
23 / 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? / Formula:
A = P(1+r)^t
7800*(1+0.06)^2
7800*1.06^2
= $8764.08
24 / Jesse is traveling at a speed of 105 mi/h. What is his speed in feet per second? / 105 mi/hr / 3600 sec/hr * 5280 ft/mi
= 154 ft/s
25 / A railing for a deck requires pieces of redwood 4 ft 8 in., 5 ft 5 in., and 3 ft 5 in. long. What is the total length of material that is needed? / Add:
4+5+3 = 12 ft
8+5+5 = 18 in = 1 ft 6 in
Total:
13 ft 6 in

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