1)
An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single envelope. It ends up taking 6 envelopes to hold all the pages. If each envelope has the same number of pages in it, how many pages are there in each envelope?
A) 2 pages
B) 3 pages
C) 4 pages
D) 5 pages
2)
Julian's shadow is 6 feet long. At the same time a 31 foot tall building casts a shadow that is 28 feet long. What proportion could be used to find Julian's height?
A)
x
6
=
31
28
B)
x
6
=
28
31
C)
6
x
=
31
28
D)
x
28
=
31
6
3)
A. A survey of 110 teachers showed that 28 of them have a second job.
B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C
4)
Triangle CDX is similar to triangle ABX. Which proportion can be used to find the length of side CD?
A)
AB
BX
=
CD
CX
B)
AB
CD
=
AX
CX
C)
AB
CD
=
BX
CX
D)
AB
BX
=
CD
AX
5)
If three dozen cookies cost $9, what is the cost per cookie?
A) $0.25
B) $0.50
C) $2.25
D) $3.00
6)
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle school's. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500
7)
Randy can buy 6 gallons of gas for $18 or 7 gallons of gas for $21. How much do you think he would pay for 8 gallons of gas?
A) $22
B) $23
C) $24
D) $25
8)
Cedric can buy 3 songs for $3.60 or 4 songs for $4.80. How much do you think he would pay for 5 songs?
A) $5.80
B) $6.00
C) $6.20
D) $6.40
9)
Which two ratios form a proportion?
A)
1
2
and
2
7
B)
2
1
and
7
14
C)
1
2
and
7
14
D)
2
1
and
14
21
10)
Which two ratios form a proportion?
A)
4
20
and
1
5
B)
4
20
and
2
5
C)
20
4
and
1
5
D)
20
4
and
2
5
11)
Brand Price per Roll Number of Sheets
Buoy $2.40 80
Glow $4.00 100
Mop-Ups $3.60 60
Toss $3.00 150
Waves $6.25 125
The table shows the prices of several brands of paper towels and the number of sheets on one roll. Which brand is the BEST VALUE?
A) Buoy
B) Glow
C) Mop-Ups
D) Toss
12)
The ratio of boys to girls at Greenville High School is 4:5. If 300 girls go to the high school, the equation
x
300
=
4
5
can be used to determine the number of boys, x, that go to the high school.
How many boys go to the high school?
A) 220 boys
B) 240 boys
C) 260 boys
D) 280 boys
13)
Suppose a train travels 7 miles in 28 minutes. The proportional relationship between miles traveled, x, and minutes traveled, y, by the train can represented by the equation y = 4x.
How far will the train travel in 64 minutes?
A) 16 miles
B) 17 miles
C) 18 miles
D) 19 miles
14)
Rose has made this scale drawing of her house. How wide is her house?
A) 23.5 ft
B) 40 ft
C) 54.5 ft
D) 70 ft
15)
What is the ratio of green stars to red stars?
A) 1:2
B) 2:3
C) 2:4
Eliminate
D) 3:2
and homework dumps are discouraged here, and usually ignored.
Dang, did you copy a whole page of your hw!
All of the USATestprep questions are different. Please do NOT cheat, I advise you all to study over what you are struggling with.
1) To find out how many pages are in each envelope, we can divide the total number of pages (18) by the number of envelopes (6).
18 pages ÷ 6 envelopes = 3 pages per envelope.
Therefore, the answer is B) 3 pages.
2) To find Julian's height using proportions, we can set up the following proportion:
x/6 = 31/28
Here, x represents Julian's height, and the ratios of the lengths of the shadows are set equal to each other.
To solve for x, we can cross multiply:
28x = 6 * 31
28x = 186
x = 186 / 28
x ≈ 6.64
Therefore, the answer is C) 6.
3) To determine which surveys show proportional results, we need to calculate the percentages of high school teachers with a second job for each survey.
For survey A: 28/110 ≈ 0.2545 or 25.45%
For survey B: 27/90 ≈ 0.3 or 30%
For survey C: 21/70 ≈ 0.3 or 30%
For survey D: 32/80 = 0.4 or 40%
Comparing the results, we can see that surveys B and C have the same percentage of high school teachers with a second job.
Therefore, the answer is D) B and C.
4) To find the length of side CD in triangle CDX, we can use the proportion:
AB/CD = BX/CX
Here, AB represents the length of side AB, CD represents the length of side CD, BX represents the length of side BX, and CX represents the length of side CX.
Therefore, the answer is A) AB/BX = CD/CX.
5) If three dozen cookies cost $9, we can find the cost per cookie by dividing the total cost by the total number of cookies.
Three dozen cookies is equal to 3 x 12 = 36 cookies.
Cost per cookie = $9 / 36 cookies = $0.25
Therefore, the answer is A) $0.25.
6) To determine the number of students in the high school, we can set up a proportion using the student-teacher ratio.
Middle school student-teacher ratio = 900 students / 45 teachers = 20 students per teacher.
High school student-teacher ratio = x students / 110 teachers.
Since the ratios are proportional, we can set up the proportion:
900 / 45 = x / 110
Cross multiplying, we get:
900 * 110 = 45 * x
x = (900 * 110) / 45 ≈ 2200
Therefore, the answer is C) 2200.
7) We can set up a proportion using the cost of gas and the number of gallons.
6 gallons of gas for $18 can be written as 6/18 = 7/21.
We can then use this proportion to find the cost of 8 gallons of gas:
8/18 = x/21
Cross multiplying, we get:
18 * x = 8 * 21
x ≈ (8 * 21) / 18
x ≈ 9.33
Therefore, the answer is approximately $9.33.
8) We can set up a proportion using the cost of songs and the number of songs.
3 songs for $3.60 can be written as 3/3.60 = 4/4.80.
We can then use this proportion to find the cost of 5 songs:
5/3.60 = x/4.80
Cross multiplying, we get:
3.60 * x = 5 * 4.80
x ≈ (5 * 4.80) / 3.60
x ≈ 6.67
Therefore, the answer is approximately $6.67.
9) To determine which ratios form a proportion, we need to simplify the ratios and check if they are equal.
For ratio A: 1/2 and 2/7 cannot be simplified.
For ratio B: 2/1 and 7/14 can be simplified to 2/1 and 1/2, which are equal.
For ratio C: 1/2 and 7/14 can be simplified to 1/2 and 1/2, which are equal.
For ratio D: 2/1 and 14/21 can be simplified to 2/1 and 2/3, which are not equal.
Therefore, the answer is A) 1/2 and 2/7.
10) To determine which ratios form a proportion, we need to simplify the ratios and check if they are equal.
For ratio A: 4/20 and 1/5 can be simplified to 1/5 and 1/5, which are equal.
For ratio B: 4/20 and 2/5 can be simplified to 1/5 and 2/5, which are not equal.
For ratio C: 20/4 and 1/5 can be simplified to 5/1 and 1/5, which are not equal.
For ratio D: 20/4 and 2/5 can be simplified to 5/1 and 2/5, which are equal.
Therefore, the answer is D) 4/20 and 2/5.
11) To find the best value, we need to calculate the cost per sheet for each brand of paper towels.
For Buoy: $2.40 / 80 sheets = $0.03 per sheet
For Glow: $4.00 / 100 sheets = $0.04 per sheet
For Mop-Ups: $3.60 / 60 sheets = $0.06 per sheet
For Toss: $3.00 / 150 sheets = $0.02 per sheet
For Waves: $6.25 / 125 sheets = $0.05 per sheet
From the calculations, we can see that Toss has the lowest cost per sheet, making it the best value.
Therefore, the answer is D) Toss.
12) To find the number of boys at Greenville High School, we can solve the equation:
x / 300 = 4 / 5
Here, x represents the number of boys, and the ratios of boys to girls are set equal to each other.
To solve for x, we can cross multiply:
5x = 300 * 4
5x = 1200
x = 1200 / 5
x = 240
Therefore, the answer is B) 240 boys.
13) Since the train travels at a consistent rate, we can use the given equation y = 4x to find out how far it will travel in 64 minutes.
We can substitute 64 for x:
y = 4 * 64
y = 256
Therefore, the train will travel 256 miles in 64 minutes.
The answer is not listed in the given options.
14) To determine the width of Rose's house, we can measure the scale drawing. The width of the drawing is 4.7 cm, and the scale factor is 1 cm = 5 ft.
Using the scale factor, we can set up the proportion:
4.7 cm / 1 cm = x ft / 5 ft
Cross multiplying, we get:
4.7 * 5 = 1 * x
23.5 = x
Therefore, the width of Rose's house is 23.5 ft.
The answer is A) 23.5 ft.
15) To find the ratio of green stars to red stars, we can count the number of each in the image.
There are 2 green stars and 4 red stars.
Therefore, the ratio of green stars to red stars is 2:4, which can be simplified to 1:2.
The answer is A) 1:2.