Download Algebra 1 Review For Test on 2.5

The Following videos will help you with the extra review problems.
The answers are at the end of the document.
Unit Rates http://www.youtube.com/watch?v=pOj43IGi7lo
Converting unitshttp://www.youtube.com/watch?v=XKCZn5MLKvk
Converting Rateshttp://www.youtube.com/watch?v=x2UrGWM4IxY
Short Answer
2. At an automobile factory, 1849 parts are made in 4 hours. What is the average rate at which parts are made
per hour?
3. A flock of Canadian geese migrated 1623 miles in 28 days. What was the average rate at which these geese
traveled in miles per day?
4. Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours.
Which car has the fastest average speed?
5. You are shopping for jeans. City Express sells 3 pairs of jeans for $61. Denim Planet sells 2 pairs of jeans for
$73. New Threads sells 4 pairs of jeans for $110. Which store has the best deal?
6. Lenny runs a 100-meter course in 25 seconds. Gary runs a 450-meter course in 112.5 seconds. Bruford runs a
950-meter course in 237.5 seconds. Which athlete is the fastest? Round each speed to one decimal place.
What is the given amount converted to the given units?
7. 195 s; minutes
8. 86 cm; meters
9. 144 ft; inches
10. An office building is 111 ft high. About how tall is this in meters?
11. The distance between Lakeview and Sun Valley is 89 km. About how far is this in miles?
12. On a certain day 1 US dollar is equivalent in value to 90 Japanese yen. Lucy is going on a trip to Japan. She
has $900 to spend. How many yen is this?
13. A car is driving at a speed of 45 mi/h. What is the speed of the car in feet per minute?
14. A pool is filled at a rate of 105 gal/min. What is the rate in mL per second?
15. A student ran the 100-m dash in 15.4 s. What was the student’s speed in miles per hour?
Solving Proportionshttp://www.youtube.com/watch?v=P_aQPxr2G_4
Word Problems with proportions
http://www.youtube.com/watch?v=VikfwNpnZ10
http://www.youtube.com/watch?v=G8qy4f7GKzc
(2nd example is shadow problem, 3rd map, long but worth it)
What is the solution of the proportion?
16.
17.
18.
19. A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.
20. School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip.
How many chaperones must there be for 80 students?
In the diagram, the figures are similar. What is x?
21.
25 cm
16 cm
x
9 cm
Drawing not to scale
22. A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle
shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft
tall, how tall is the tree?
Drawing not to scale
23. A flagpole casts a shadow 10 ft long. A girl standing next to the flagpole casts a shadow 2.5 ft long. If the girl
is 5 ft tall, how tall is the flagpole?
24. A building casts a shadow 10 ft long. A statue in front of the building casts a shadow 2.5 ft long. If the statue
is 15 ft tall, how tall is the building?
Use the scale and map measurements to find the actual distance from New Wilmington to Sharon
through the specified town.
1.75 in.
1.5 in.
Sharon
Mercer
2.25 in.
New Wilmington
1.75 in.
Volant
Scale 1 in. : 12 mi
25. What is the actual distance from New Wilmington to Sharon through Volant?
26. A map has a scale of 1 cm : 18 km. Two cities are 2.7 cm apart on the map. To the nearest tenth of a
kilometer, what is the actual distance corresponding to the map distance?
27. A scale model of a city has scale of 1 cm : 2.5 km. Two buildings in the model are 1.7 cm apart. To the
nearest tenth of a kilometer, what is the actual distance between the buildings in the city?
Simple Interest http://www.youtube.com/watch?v=6AZijeJDmgY
Percent changehttp://www.youtube.com/watch?v=9RDTZ2jILoA
28. A dress that normally costs $69.50 is on sale for 45% off. What is the sale price of the dress?
29. What is the total cost of a $56.53 meal at a restaurant after including a 17% tip?
30. If the sales tax is 3%, what is the cost of a pair of shoes with a price of $55?
31. 145% of what number is 870?
32. You deposited $600 dollars in a savings account that earns a simple interest rate of 1.5% per year. You want
to keep the money in the account for 6 years. How much interest will you earn?
33. You deposited $1700 dollars in a savings account that earns a simple interest rate of 3% per year. How many
years do you need to keep the money in the account to earn $306 in interest?
34. You deposited $8500 dollars in a savings account that earns a simple interest rate. What interest rate do you
need to be paid, if you require $10093.75 after 5 years.
35. The circulation of a newsletter decreased from 5200 to 3140. Find the percent of decrease in circulation to the
nearest percent.
36. The viewership of a television show has decreased from 5.1 million viewers to 3.5 million viewers per
episode. Find the percent of decrease in viewership to the nearest percent.
37. Sarah is currently making $33,000 a year at her job and has been offered a raise to $37,950 per year. What
would be the percent increase in her salary?
38. During the month of February, Fabulous Feet Shoe Mart sold 48 pairs of red loafers. After an ad campaign to
boost sales, they sold 60 pairs in March. Find the percent of increase in sales.
Algebra 1 Review For Test on 2.5-2.10
Answer Section
NUMERIC RESPONSE
1. ANS: x = 19
TOP: 2-1 Problem 3 Solving an Equation Using Division
SHORT ANSWER
1. ANS:
TOP: 2-5 Problem 2 Rewriting a Literal Equation With Only Variables
2. ANS:
462 parts/h
TOP: 2-6 Problem 1 Comparing Unit Rates
3. ANS:
58 miles per day
TOP: 2-6 Problem 1 Comparing Unit Rates
4. ANS:
Car B
TOP: 2-6 Problem 1 Comparing Unit Rates
5. ANS:
City Express
TOP: 2-6 Problem 1 Comparing Unit Rates
6. ANS:
They each travel at the same average speed.
TOP: 2-6 Problem 1 Comparing Unit Rates
7. ANS:
3.25 min
TOP: 2-6 Problem 2 Converting Units
8. ANS:
0.86 m
TOP: 2-6 Problem 2 Converting Units
9. ANS:
1728 in.
TOP: 2-6 Problem 2 Converting Units
10. ANS:
33.84 m
TOP: 2-6 Problem 3 Converting Units Between Systems
11. ANS:
55.31 mi
TOP: 2-6 Problem 3 Converting Units Between Systems
12. ANS:
81000 yen
TOP: 2-6 Problem 3 Converting Units Between Systems
13. ANS:
3,960 ft/min
TOP: 2-6 Problem 4 Converting Rates
14. ANS:
6624.45 mL/s
TOP: 2-6 Problem 4 Converting Rates
15. ANS:
14.5 mi/h
TOP: 2-6 Problem 4 Converting Rates
16. ANS:
21
2
TOP: 2-7 Problem 3 Solving a Multi-Step Proportion
17. ANS:
TOP: 2-7 Problem 3 Solving a Multi-Step Proportion
18. ANS:
40
TOP: 2-7 Problem 3 Solving a Multi-Step Proportion
19. ANS:
25 gallons of gas
TOP: 2-7 Problem 4 Using a Proportion to Solve a Problem
20. ANS:
7 chaperones
TOP: 2-7 Problem 4 Using a Proportion to Solve a Problem
21. ANS:
5.8 cm
TOP: 2-8 Problem 1 Finding the Length of a Side
22. ANS:
20 ft
TOP: 2-8 Problem 2 Applying Similarity
23. ANS:
20 ft
TOP: 2-8 Problem 2 Applying Similarity
24. ANS:
60 ft
TOP: 2-8 Problem 2 Applying Similarity
25. ANS:
48 mi
TOP: 2-8 Problem 3 Interpreting Scale Drawings
26. ANS:
48.6 km
TOP: 2-8 Problem 3 Interpreting Scale Drawings
27. ANS:
4.3 km
TOP: 2-8 Problem 4 Using Scale Models
28. ANS:
$38.23
TOP: 2-9 Problem 3 Finding a Part
29. ANS:
$66.14
TOP: 2-9 Problem 3 Finding a Part
30. ANS:
$56.65
TOP: 2-9 Problem 3 Finding a Part
31. ANS:
600
TOP: 2-9 Problem 4 Finding a Base
32. ANS:
$54
TOP: 2-9 Problem 5 Using the Simple Interest Formula
33. ANS:
6
TOP: 2-9 Problem 5 Using the Simple Interest Formula
34. ANS:
3.75%
TOP: 2-9 Problem 5 Using the Simple Interest Formula
35. ANS:
40%
TOP: 2-10 Problem 1 Finding a Percent Decrease
36. ANS:
31%
TOP: 2-10 Problem 1 Finding a Percent Decrease
37. ANS:
15%
TOP: 2-10 Problem 2 Finding a Percent Increase
38. ANS:
25%
TOP: 2-10 Problem 2 Finding a Percent Increase