Name_________________________
Algebra One Midterm Review Sheet 2011-2012
A. You are babysitting for your neighbor earning $7 an hour. Answer the following
questions in a complete sentence. Show your work and circle your final answer!
1. If you work 3 hours a day, how much money will you make in seven days?
2. If you work 5 hours a day, how much money will you earn in 10 days?
3. If you work 7 hours a day, how much money will you earn over the summer (65 days)?
4. How long will it take you to save enough for a new ipod costing $230?
5. What is the constant rate in the scenario?
6. What are the independent and dependent variables?
Independent___________________
Dependent____________________
7. Write an algebraic equation for this problem. Use “h” for number of hours and “E” for
earnings.
8. Complete the given table and graph the line. Use the intervals given and a ruler!
Money Earned Babysitting
Hours
Expression
Earnings
Expression
0
2
35
9
Quantity Name
Number of hours
Lower Bound
Upper Bound
Earnings
Interval
1
10
9. Graphically or algebraically determine if you work 8 hours, you’ll earn $63. Show your
work either below or ON the graph. Then, answer YES or NO.
B.
You are mowing lawns to earn extra summer money. You charge $12 per lawn. You
also plan to save 25% of what you make for each lawn.
Answer the following questions.
10. If you mow 5 lawns, how much money will you save?
11. If you mow 7 lawns, how much money will you save?
12. You can mow 10 lawns per week. How much money will you save at the end of the
summer if you worked 8 weeks?
13. What is the constant in the scenario?
14. List the independent as dependent.
Independent___________________
Dependent____________________
15. Write an algebraic equation for the money saved. Use “L” for lawns and “m” for money
saved.
16. How much money do you save per lawn?
17. How many lawns do you need to mow until you save $100?
18. Complete the given table and graph the line. Use the intervals given and a ruler!
Lawns
Expression
Law cutting savings
Savings
Expression
0
5
10
15
20
Quantity Name
Lawns
Earnings
Lower Bound
Upper Bound
Interval
2
10
19. Graphically or algebraically determine if you work 8 hours, you’ll save $63. Show your
work either below or ON the graph. Then, answer YES or NO.
20. 54 is what percent of 140?
21. What number is 35% of 500?
22. 72% of students at USC attend sporting events. How many students attend sporting
events if there are 1250 total students?
23. A TV repairman charges $60 per visit plus $25 per hour. Write an algebraic equation
using “h” for the number of hours and “C” for total cost. Graph!
EQUATION:
Hours
Expression:
Cost for repairman
0
12
27
35
Quantity Name
Hours
Total Cost
Lower Bound
Upper Bound
Interval
10
100
Total Cost
Expression:
24. What is the y- intercept? How does it relate to the problem?
25. What is the constant rate? How do you know it’s a constant rate? (What does the
graph look like?)
26. Is the line increasing or decreasing?
22. You have $950 in your savings account. You decide to take flute lessons at $15 per
lesson. Write an equation using “L” for the number of lessons and “M” for the money left in
account
EquationLessons
Expression:
Total Left In Savings
Account
Expression:
0
15
500
200
23. Graph the situation.
Quantity Name
Lessons
Lower Bound
Upper Bound
Amount left in account
Interval
5
100
24. What is the y-intercept? How does it relate to the problem?
25. What is the rate?
26. Is the line increasing or decreasing?
27. After how many lessons will you run out of money?
C. You are planning on getting a cell phone. You have three companies to choose from- Call on
Us, Hear We Are and Phone Heaven. Call on Us charges 3 cents per minute and $29.35 per
month. Hear We Are charges 5 cents per minute and $26.45 per month. Phone Heaven
charges 8 cents per minute and$ 22.40 per month. Create an algebraic equation and
complete the chart for each. Graph all three lines on the same graph on the following page.
Use “T” for total cost and “m” for number of minutes.
28. Write an equation for each company:
Call on Us -
Hear We Are -
Phone Heaven -
Minutes
Expression:
Call on Us
Total Cost
Expression:
Hear We Are
Minutes
Expression:
0
0
100
100
250
250
500
500
800
800
Phone Heaven
Minutes
Expression:
0
100
250
500
800
Total Cost
Expression:
Total Cost
Expression:
29. Graph the three lines on the following graph. Use the following intervals:
Quantity Name
Number of Minutes
Lower Bound
0
Upper Bound
1000
Interval
100
Total Cost
0
100
10
30. Which company is the best if you’re talking less than 100 minutes a month? Why?
31. Which company is best if you’re talking over 400 minutes a month? Why?
32. A shoe store in the mall is surveying people to see how much they spend on shoes
over the course of a year. The results of the survey are below.
Age (years)
Under 20
20-40
41-60
Over 60
Total Number of
People
Less Than $100
38
11
8
22
79
$100-$300
7
26
32
27
92
More than $300
5
13
10
1
29
33. How many people were surveyed?
34. There are approximately 400,000 people that live in your city. How many of them
spend more than $300 a year on shoes? Show all of your work and use a complete
sentence in your answer.
35. Give an example of a unit rate.
36. Complete the following proportions.
2
=
6
𝑥
5
12
𝑥
37. Define:
Gross pay-
Net pay-
=
10
12
Jeremiah receives his first pay check in the amount of $309.40. The check stub shows that he paid
$145.60 in taxes.
38. What is Jeremiah’s gross pay?
39. What is his net pay?
40. What is the tax rate?
Solve the following equations.
41.
𝑦
3
+ 12 = −4
43. 𝑏 − 7 = −9
45. What is 38% of 140?
46. 8 is what percent of 48?
42. −8 = 72 + 2ℎ
44. 2𝑥 + 5 = 15
48. Solve for X
X
25 in
15 in
45 in
Use the graph for #49-53.
49. If you downloaded 10 songs, which company should you download from? Why?
50. If you downloaded 20 songs which company should you download from? Why?
51. If you downloaded 100 songs, which company should you download from? Why?
52. If you downloaded 30 songs from “We Have Music” how much is your monthly bill?
53. What is the y-intercept for all three companies? What does this number represent?
We Have Music -
All About Music –
Downloads R Us -
54. Katie paid $536 in taxes last year at a tax rate of 33%. What was Katie’s net pay?
55. Tim has $945 in his savings account. He has decided to take a Kick Boxing class that
will cost $15 per month.
a. Write an equation for the situation. Use “A” for the amount left in savings account
and “m” for number of months.
b. What is the rate?
c. What is the y-intercept in the problem?
d. When will Tim run out of money?
56. Which graph best represents the situation?
57. Your parents put you in charge of taking your 4 sisters to the movies and they give you
$25. The movie tickets are $4 each and popcorn is $3. How many boxes of popcorn can
you buy?
WORK
EXPLAIN