MAT-115 Week 4 Cumulative Test -- Due Day 7 (Sunday)Page 1 of 4

PROBLEMS (4 points each) / TYPE YOUR SOLUTIONS HERE
NAME: / B99

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PROBLEMS (4 points each) / TYPE YOUR SOLUTIONS HERE
#1
Write a proportion that is equivalent to the statement: If 3 gallons of gasoline cost $5.37 then 8 gallons will cost $14.32. / Set the first ratio equal to the second one:
3/5.37 = 8/14.32
#2
Garrett washes 3 cars in 72 minutes. How many minutes does it take Garrett to wash one car? / 72 minutes divided by 3 cars
= 24 minutes per car
#3
Write the ratio of 9 nickels to 3 quarters in simplest form. / 9 nickels = 45 cents
3 quarters = 75 cents
45 to 75
Divide by 5:
9 to 15
Divide by 3:
3 to 5
#4
Determine whether the pair of fractions is proportional:
/ Divide the top and bottom of the second fraction by 2:
4/13
That is the same as the first one, so YES, they are proportional.
#5
On the blueprint of Lauren's new office building, the scale is 3 inches equals 8 feet. What will be the actual length of Lauren's office if it measures 6 inches long on the blueprint? / 3/8 = 6/x
Cross multiply:
3x = 48
Divide by 3:
X = 16 feet
#6
Are these two rates of rainfall equivalent?
a)1.2 inches of rain in 5 hours
and
b)2.1 inches of rain in 8 hours / Divide:
1.2/5 = 0.24
2.1/8 = 0.2625
NO, not the same
#7
A state sales tax rate is 4.8%. If the tax on a purchase was $23.76, what was the price of the purchase? / 23.76 divided by 0.048
= $495
#8
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? / Take the value and subtract off 22%:
16000 – 0.22*16000
= $12480
#9
Ms. Jefferson has been given a loan of $20,000 for 1 year. If the interest charged is $800, what is the interest rate on the loan? / Rate = interest/loan
= 800/20000
= 0.04
Multiply by 100 to get the percent
= 4%
#10
Write 58% as a fraction or a mixed number. / = 58/100
Divide the top and bottom by 2:
= 29/50
#11
260 is 40% of what number? / 40% = 0.4
260 divided by 0.4
= 650
#12
A chemist has 400 milliliters of solution that is 21% acid. How many milliliters of acid are in the solution? / 21% = 0.21
Multiply by 400:
400*0.21
= 84 ml
#13
What is 30% of 200? / Multiply 30% and 200:
30%*200
= 0.3*200
= 60
#14
11% of what number is 77? / 0.11x = 77
Divide by 0.11:
X = 77/0.11
= 700
#15
Write as a percent. / Convert it to a decimal:
3/8 = 0.375
Multiply by 100:
37.5%
#16
Write 30% as a fraction. / Divide by 100 to convert to decimal:
0.3
= 3/10
#17
The electricity costs of a business increased from $10,000 one year to $13,000 the next. To the nearest whole percent, what was the rate of increase? / Rate = increase/old
= (13000-10000)/10000
= 3000/10000
Cancel out 3 zeros
= 3/10
= 0.3
= 30%
#18
Label the triangle as equilateral, isosceles, or scalene.
/ The angles in a triangle add to 180.
Solve for the last angle:
180-60-60
= 60
All the angles are the same, so:
It is equilateral.
#19
Subtract.
8 gallons 1 quart
- 3 gallons 2 quarts / Remember that 1 gallon = 4 quarts
Borrow 1 gallon from the first quantity:
7 gal 5 qt – 3 gal 2 qt
= 4 gal 3 quart
#20
m∠B = 60°. Find the complement of ∠B. / Complements add up to 90:
90 – 60
= 30 degrees
#21
Is the object a line or a line segment? Why?
/ This extends infinitely in each direction (because there are arrows at the end), therefore it is a line (unless you are only considering the part strictly between A and B, but I don’t think that’s the case).
#22
Find the missing length of the right triangle.
/ Pythagorean Theorem:
a^2 + b^2 = c^2
20^2 + 48^2 = c^2
400 + 2304 = c^2
C^2 = 2704
Square root:
C = 52
#23
What two whole numbers isbetween? / Sqrt(16) = 4
Sqrt(25) = 5
So it’s between 4 and 5.
#24
Complete the statement.
35 gallons = _____ L / 1 gallon = 3.78541178 liters
Multiply by 35:
= 132.4894123 liters
#25
Is the object a line or a line segment? Why?
/ Between A and B is a line segment, since it does not extend infinitely in each direction.

Finished? I encourage you to go back and check each answer. Did you show all your work? Did you label every answer?