Assignment 3 Questions - Beginning Algebra | MA 090 | Assignments Algebra

MA 090 Chapter 3 Worksheet

Ken Culp

Instructions: These problems prepare you for the Chapter 3 exam. Copy one problem of each type to a

separate piece of paper and test yourself without notes or book. Repeat this process until you are comfortable

with solutions.

1. A total of 250 fish were tagged. Later, in a sample of 350 fish, 10 were tagged. How many total fish?

2. A total of 275 fish were tagged. Later, in a sample of 120 fish, 3 were tagged. How many total fish?

3. A total of 400 fish were tagged. Later, in a sample of 300 fish, 6 were tagged. How many total fish?

4. On the map scale, ¾ inch equals 21 miles. Two cities measure 3½ inches apart. How far apart are they in miles?

5. On the map scale, ¼ inch equals 5 miles. Two cities measure 2¼ inches apart. How far apart are they in miles?

6. Complete the following chart of fraction, decimal, percent equivalents. Be sure to simplify all fractions.

Fraction Decimal Percent

7/8

.07

45%

5/6

1.5

27.

7. Order the following from smallest to largest: 33%, -2/5, 1/3, 3/8, 4/14, 0.3

8. Order the following from smallest to largest: -3/4, 2/5, -2/3, 7/15, 45%, 5/12, 33%

9. Order the following from smallest to largest: -3/4, 8/15, 7/12, 48%, 5/11, .454545…

10. The Sides of a triangle are 3", 4", and 5". If a copier is set for a 10% reduction, what were the new lengths of the sides?

11. Your salary was increased from $5.50 per hour to $6.05. Write a proportion to find the percent raise.

12. Your salary was decreased $6.50 per hour to $6.00. Write a proportion to find the percent pay cut.

13. Your salary after a raise of 6% is $23,320. What was your salary before the raise?

14. Your salary after a raise of 8% is $29,700. What was your salary before the raise?

15. The sale price is $70 after a 1/3 off sale. What was the price before the sale?

16. The sale price is $45 after the item had been marked down 20% and then 25% more taken of the first sale price.

(Hint, sale price = full  (80%)  (75%))

17. Given a formula for mixing Gas and Oil for a chain saw of 1 pint oil to two gallons (8 pints per gallon) of gas, find how much

oil is in 4¼ gallons of a mix?

18. If the oil to gas mixture is 2 pints oil to 3 gallons of gas, how much oil in 5 gallons of a mix?

19. The recipe calls for 2 pints oil to 3 gallons gas. How much oil do you need to mix with 2 gallons gas?

20. You travel 3 miles in 196 seconds. How fast are you going?

21. You travel 8 miles 384 seconds. How fast are you going?

22. Cereal box A with 24 ounces costs $2.75. Brand B is on special, 3 16-ounce boxes for $5.00. Better buy?

23. Brand A of bacon sells for $2.39 for 12 ounces and brand B is $2.99 for a one pound package (16 oz/pound). Better buy?

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Download Assignment 3 Questions - Beginning Algebra | MA 090 and more Assignments Algebra in PDF only on Docsity!

MA 090 Chapter 3 Worksheet

Ken Culp

Instructions: These problems prepare you for the Chapter 3 exam. Copy one problem of each type to a

separate piece of paper and test yourself without notes or book. Repeat this process until you are comfortable

with solutions.

A total of 250 fish were tagged. Later, in a sample of 350 fish, 10 were tagged. How many total fish?
A total of 275 fish were tagged. Later, in a sample of 120 fish, 3 were tagged. How many total fish?
A total of 400 fish were tagged. Later, in a sample of 300 fish, 6 were tagged. How many total fish?
On the map scale, ¾ inch equals 21 miles. Two cities measure 3½ inches apart. How far apart are they in miles?
On the map scale, ¼ inch equals 5 miles. Two cities measure 2¼ inches apart. How far apart are they in miles?
Complete the following chart of fraction, decimal, percent equivalents. Be sure to simplify all fractions. Fraction Decimal Percent 7/ . 45% 5/ 1. . 27
Order the following from smallest to largest: 33%, -2/5, 1/3, 3/8, 4/14, 0.
Order the following from smallest to largest: -3/4, 2/5, -2/3, 7/15, 45%, 5/12, 33%
Order the following from smallest to largest: -3/4, 8/15, 7/12, 48%, 5/11, .454545…
The Sides of a triangle are 3", 4", and 5". If a copier is set for a 10% reduction, what were the new lengths of the sides?
Your salary was increased from $5.50 per hour to $6.05. Write a proportion to find the percent raise.
Your salary was decreased $6.50 per hour to $6.00. Write a proportion to find the percent pay cut.
Your salary after a raise of 6% is $23,320. What was your salary before the raise?
Your salary after a raise of 8% is $29,700. What was your salary before the raise?
The sale price is $70 after a 1/3 off sale. What was the price before the sale?
The sale price is $45 after the item had been marked down 20% and then 25% more taken of the first sale price. (Hint, sale price = full  (80%)  (75%))
Given a formula for mixing Gas and Oil for a chain saw of 1 pint oil to two gallons (8 pints per gallon) of gas, find how much oil is in 4¼ gallons of a mix?
If the oil to gas mixture is 2 pints oil to 3 gallons of gas, how much oil in 5 gallons of a mix?
The recipe calls for 2 pints oil to 3 gallons gas. How much oil do you need to mix with 2 gallons gas?
You travel 3 miles in 196 seconds. How fast are you going?
You travel 8 miles 384 seconds. How fast are you going?
Cereal box A with 24 ounces costs $2.75. Brand B is on special, 3 16-ounce boxes for $5.00. Better buy?
Brand A of bacon sells for $2.39 for 12 ounces and brand B is $2.99 for a one pound package (16 oz/pound). Better buy?

Five foot woman casts a shadow of 21 inches long. Tree casts a shadow of 18 feet. How tall is the tree?
74 inch tall man casts a shadow of 29 inches long. Tree casts a shadow of 9 feet, 11 inches. How tall is the tree?
A person weighing 180 pounds gained 10% of his weight in 6 months. In the next 6 months, he lost 10% of his weight. What is his new weight?
A certain brand of graham cracker claims that one serving has 10 calories from fat out of a total of 110 calories. What is the percent fat in this serving of graham crackers?
The figure below right illustrates a sale price of an item based on its retail price. Using the chart, determine the approximate sale price if the retail price is $120.

Yard

4 ft. 12' 9".

Assume the original recipe called for 16 cups of apples, ½ cup flour, and 2 cups sugar. How much flour and sugar if we have only 12 cups of apples. Express as a fraction or decimal.
Assume the recipe called for 8 cups of apples, ¾ cup flour, and 1 ¼ cup of sugar but you have 12 cups of apples and want to increase the recipe. How much flour and sugar would be needed?
A room is 18' 0" by 16' 4". How many yards to carpet the room? What is the total cost at $29.50 yard?
A room is 15' 9" by 13' 6". How many yards to carpet the room? What is the total cost at $22.00 yard?
A TV set marked down to $299.99 included a 25% discount. What was the original price of the set?
An 8" x 10" picture was increased in size by 15%. Find the new dimensions of the picture. Compute the area of the new picture). What is the ratio of the enlarged area to the area before (80 in2)? John got a job offer from a clothing store where he would get a salary of $275 per 40-hour workweek plus commission of 4% on all sales (assume $700 per week). His current job pays $6.95 per hour and he works 40 hours per week.
If he works 40 hours per week at either job, and his only consideration is money, which job should he choose? Show your work to prove your conclusions.
What percent change (increase or decrease) in his salary would John have if he took the new job?
The population of Birch was 45 in 1998. In 1999 it had decreased to 41. What was the percent decrease in population in the town (round to nearest one-tenth of one percent)?

Flower Bed

160 120 100 Sale Price Retail Price

Chapter 3 Worksheet Solutions

98 miles
45 miles
See Table
-2/5, 4/14, 0.3, 33%, 1/3, 3/
-3/4, -2/3, 2/5, 33%, 5/12, 45%, 7/
-3/4, (5/11, .4545… in either order), 48%, 8/15, 7/
2.7, 3.6, 4.
10%
About 7.7%
$22,
$27,
$
$75.
By unit ratio: 1/17 of 4.25 or about 0.25gal = 2pints.
2/26 of 5 =

5 gallons = 0.115gal = 0.92pints.

2/3 = x/2 or 1 1/3 pints)
About 55 mph
75 mph
3 1-pound boxes is 9.6 ounces/$ and 24 ounce box is 8.7 ounces/$. Therefore, the 3 1-pound box deal is best.
One pound (16-ounces) is 5.3 ounces/$ and 12-ounce package is 5.0 ounces/$. One pound package is best.
51.4 feet
25.3 feet
Solution: After six months, his weight is 180 + 10% of 180 = 180 + (.1)180 = 180 + 18 = 198. After six more months, the person lost 10% of 198 pounds or 19.8 pounds. His new weight is 198 – 19.8 = 178.2 pounds. Note that the net difference is 1. pounds!
10/110 = 9.1%
About $80.

29. 0.^153

 or about 15.3%

Flour = 3/8 cup; sugar = 1½ cups.
9/8 cups flour; 15/8 cups sugar.
33 yards, $973.50.
24 yards, $528.
$399.
Dimensions: 9.2" x 11.5". Area: 105.8 in^2. Ratio: 1.3225 which is 1.15  1.15.
Salary new = $275 plus commissions of about $28 for total $303 per week compared to $278 that he would make by working 40 hours at $6.95 per hour. The new job is better.
8.9% increase.
A: 8.9% decrease. Fraction Decimal Percent 7/8 0.875 87.5% 7/100 0.07 7.0% 0.45 45% 5/6 (^0). 83 83.3% 15/10 1.5 150% 3/11 (^). 27 27.3%

Assignment 3 Questions - Beginning Algebra | MA 090, Assignments of Algebra

Related documents

Partial preview of the text

Download Assignment 3 Questions - Beginning Algebra | MA 090 and more Assignments Algebra in PDF only on Docsity!

MA 090 Chapter 3 Worksheet

Ken Culp

Instructions: These problems prepare you for the Chapter 3 exam. Copy one problem of each type to a

separate piece of paper and test yourself without notes or book. Repeat this process until you are comfortable

with solutions.

Yard

Flower Bed

Chapter 3 Worksheet Solutions

5 gallons = 0.115gal = 0.92pints.

29. 0.^153

 or about 15.3%