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Ratio and Proportion

Problem #'s 1-20, these I need help completing

Multiple Choice Algebraic problems

1. A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses.
A) 11/25
B) 25/11
C) 11/14
D) 14/11

2. Find the rate: 392 feet / 8 seconds
A) 49 ft/s
B) 0.02 ft/s
C) 294 ft/s
D) 94 ft/s

3. Find the best buy on pasta sauce (1 qt is 32 oz).
A) 1 qt for $1.29
B) 45 oz for $1.59
C) 48 oz for $1.79
D) 1 qt 16 oz for $1.99

4. Write a proportion that is equivalent to the statement: If 3 gallons of gasoline cost $5.37, then 8 gallons will cost $14.32.
A) 3 gal /$14.32 = 8 gal /$5.37
B) 3 gal /$5.37 = 8 ga l/$14.32
C) 3 gal /$5.37 = $14.32 / 8 gal
D) 3 gal/8gal = $14.32 / $5.37

5. Which pair of fractions is not proportional?
A) 3/11, 6/22
B) 3/11, 7/19
C) 3/11, 9/33
D) 3/11, 12/44

6. Which rates are equivalent?
A) 12 U.S. dollars/ 16 Canadian dollars, 36 U.S. dollars/ 40 Canadian dollars
B) 12 U.S. dollars/ 16 Canadian dollars, 18 U.S. dollars/ 24 Canadian dollars
C) 12 U.S. dollars/ 16 Canadian dollars, 18 U.S. dollars/ 32 Canadian dollars
D) 12 U.S. dollars/ 16 Canadian dollars, 30 U.S. dollars/ 32 Canadian doll

7. Solve for the unknown: 4/x = 16/ 36
A) 7
B) 8
C) 9
D) 10

8. Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works 14 h?
A) $158.10
B) $173.60
C) $189.10
D) $204.60

9. Approximately 5 out of every 10 students at Reye's college live on campus. The college has 8,000 students. How many of them live on campus?
A) 2,000 students
B) 6,000 students
C) 5,000 students
D) 4,000 students

10. Solve for the unknown: 2/3 /10 = 1.8/r
A) 12
B) 18
C) 24
D) 27

11. Rewrite the statement, using percent notation. 13 out of 25 college students work at part-time jobs.
A) 13%
B) 52%
C) 26%
D) 25%

12. Write 0.646 as a percent.
A) 6.46%
B) 64.6%
C) 646%
D) 6,460%

13. Identify the base in the following application:
Janice has a 6% commission rate on all her sales. If she sells $80,000 worth of merchandise in 1 month, what commission will she earn?
A) 6%
B) what commission
C) $80,000
D) 1 month

14. What percent of 400 is 320?
A) 8%
B) 80%
C) 20%
D) 75%

15. Estimate: What is 58.9% of 1,400?
A) 8,400
B) 84,000
C) 840
D) 84

16. There are 42 milliliters (mL) of acid in 200 mL of a solution of acid and water. What percent of the solution is acid?
A) 0.21%
B) 21%
C) 4.8%
D) 2.1%

17. 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?
A) $8,764.08
B) $8,268.00
C) $9,289.92
D) $7,332.00

18. Jesse is traveling at a speed of 105 mi/h. What is his speed in feet per second?
A) 140 ft/s
B) 72 ft/s
C) 154 ft/s
D) 126 ft/s

19. Is the object a line or a line segment?
A) Line
B) Line Segment
C) Neither

20. Identify the angle as acute, right, obtuse, or straight.
A) Right
B) Straight
C) Obtuse
D) Acute

Next and last problems I need help with are #'s 1-16
1. A basketball player scored a total of 36 points in the first three games of the season. If he continues at the same pace, how many points should he score in the 22-game season?

2. Solve for the unknown: s/36.0 = 12.0 /2.4

3. Is the rate 12 inches of rain/ 5 hours equivalent to the rate 2.1 inches/ rain/ 8 hours?

4. Determine whether the pair of fractions is proportional: 7/9 and 21/27

5. Write a proportion that is equivalent to the statement: If 3 pizzas can feed 6 people, then 9 pizzas can feed 18 people.

6. Henri reads 1,100 words in 7 minutes, and Samantha reads 700 words in 2 minutes. Who is the faster reader?

7. Write the ratio of 4(1/3) to 6 in simplest form.

8. Find the missing length of the right triangle.

9. Is the following set of numbers a perfect triple? 9, 11, 14

10. Identify the hypotenuse of the triangle by giving its letter.

11. Find the square root. sqrt(36)

12. The two triangles are similar.

13. Which two triangles are similar?

14. Find the missing angle.

15. Label the triangle as equilateral, isosceles, or scalene.

16. Find angles a and b.

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Solution Summary

It includes detailed explanations of solving ratio, proportion, and rate problems. It also provides examples of solving triangles questions. The response was rate '5/5' by the student who posted the questions originally.

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