Download 2013 Fall Algebra REVIEW

2013 Fall Algebra REVIEW
Day 2 / 3
Name: ______________________
Date: _______________Per _____
1. Evaluate mn for m = 5 and n = 4.
A 1
C 20
B 9
D 54
2. Which is a correct verbal expression for
9n?
A n more than 9
B the quotient of 9 and n
C the product of 9 and n
D 9 less than n
3. Which equation represents the relationship “3 more than a number is 7”?
A n73
B n37
C 3n  7
D 3n7
4. Solve
h
 6.
7
A 42
C 13
B 13
D 42
5. Solve 2(z  1)  16.
A 4
C 7.5
B 7
D 9
6. “Yoga Fun” charges a $63 starting fee plus $12 per class. “Yoga For All” charges no
starting fee and $15 per class. For how many classes will the cost be the same at
both places?
A 3
B 5
C 21
D 27
7. Nina can braid 48 inches of rope in
1 hour. What is her speed in feet per hour?
A 0.8 ft/h
B 4 ft/h
C 576 ft/h
D 2880 ft/h
8. A principal spent $1560 on c calculators for her school. Which expression shows the
cost of one calculator?
A c
B 1560c
C 1560  c
D
1560
c
9. Evaluate mn for m = 9 and n = 7.
A 2
B 63
C 16
D 97
10. Tia’s car needs repairs. Honest Harry will charge $70 per hour plus $130 for the
part. Lucky Lou will charge $80 per hour plus $40 for the part. How long is the job if
the two costs are the same?
A 1
2
h
3
B 17 h
C 9h
D 20 h
11. Solve A 
A h
A
2b
B h
b
2A
C h
2A
b
1
bh for h.
2
D hA
1
b
2
12. Solve (a  9)  3a  17.
A 8
B 2
C 4
D 6.5
13. A printing company will charge $6 plus $0.07 per page. Another company will
charge $24 plus $0.04 per page for the same project. For how many pages will the
costs be the same regardless of which company is used?
A 330
B 600
C 400
D 1000
14. Which graph represents b > 5?
A
B
C
D
15. Which inequality represents the situation “no more than 160 students are in the
freshman class”?
A s  160
C s ≥ 160
B s  160
D s ≤ 160
16. Solve x  7  2
A x≥
-5
B x  -5
C x≤
-5
D x  -5
17. Cookies are sold in the lunchroom for $1.50. Ana wants to buy cookies for a group
of her friends. If she has $20, which inequality can be solved to show the number of
cookies c she can buy?
A 1.50c  20
C 1.50c ≥ 20
B 1.50c  20
D 1.50c ≤ 20
18. John is considering accepting one of two sales positions. ABC Company offers a
yearly salary of $45,000. XYZ Company offers a yearly salary of $38,000 plus
a 2% annual commission on sales. For what amount of sales s is the salary at XYZ
Company greater than the salary at ABC Company?
A s  7000
B s  70,000
C s  35,000
D s  350,000
19. Jasmine and her sister are saving to
buy MP3 players. Jasmine has $50 and plans to save $10 per week. Her sister has
$80 and plans to save $7 per week. In how many weeks will Jasmine have more
money saved than her sister?
A 2 weeks
B 10 weeks
C 4 weeks
D 11 weeks
20. The maximum capacity of a theater
is 471 people. So far, 254 people are seated in the theater. Which inequality can be
solved to show the number of people p that can still enter the theater?
A 254  p  471
B 254  p  471
C 254  p ≤ 471
D 254  p ≥ 471
21. Solve
4
3y.
A y
3
4
B y
4
3
C y
3
4
D y
4
3
22. Which situation could be represented by the graph below?
A
B
C
D
A person slows down and then travels at a constant speed.
A person travels at a constant speed and then slows down.
A person travels at a constant speed and then speeds up.
A person speeds up and then travels at a constant speed.
23. Which situation would NOT be represented by a graph with distinct points?
A Cost of buying 1, 2, or 3 packs of trading cards
B Number of visitors to a movie theater per day for one week
C Distance traveled by a rollercoaster car during 20 seconds
D Amount of money earned based on the number of magazines sold
24. Which relation is represented by the mapping diagram below?
A
B
C
D
{(3, 2), (5, 2), (7, 4)}
{(2, 3), (4, 7)}
{(5, 2), (7, 4)}
{(2, 3), (2, 5), (4, 7)}
25. What is the domain of the relation below?
A 0≤x≤3
B 0≤x≤4
C 3 ≤ x ≤ 3
D 3 ≤ x ≤ 4
26. What is the range of the relation below?
x
0
1
2
3
y
1
2
4
8
A
B
C
D
{1, 2}
{0, 1, 2, 3}
{1, 2, 4, 8}
{0, 1, 2, 3, 4, 8}
27. Which of the following relations is NOT
a function?
A
B
C
D
{(1, 5), (3, 1), (7, 9)}
{(1, 5), (2, 5)}
{(1, 1), (2, 2), (3, 3)}
{(5, 1), (5, 2)}
28. Which function could represent the following situation: “An internet cafe charges
$0.20 per minute.”
A f(m)  m  0.20
B f(m)  0.20m
C f(m) 
m
20
D f(m)  20m
29. Which is the dependent variable in the following situation?
“Milk sells for $3.39 per gallon.”
A number of gallons
B total cost
C expiration date
D time of purchase
30. Which function is graphed for the domain {2, 0, 2, 4}?
A yx1
B y  x2  1
C y  |x|  1
D y  |x  1|
31. Which relation could this graph represent?
A
B
C
D
{(1, 3.5), (2.5, 2), (3, 2)}
{(1, 4.5), (3.5, 2), (3, 2)}
{(3.5, 1), (2, 2.5), (2, 3)}
{(4.5, 1), (2, 3.5), (2, 3)}
32. Which of the following relations is NOT
a function?
A {(3, 3), (2, 2), (1, 1)}
B {(4, 2), (6, 2), (8, 2)}
C {(5, 1), (5, 2), (5, 3)}
D {(3, 1), (0, 0), (3, 1)}
33. Nancy has $200 and spends $10 each week. Which function rule describes the
situation?
A f (d)  200  10d
C f (d)  190d
B f (d)  200  10d
D f (d)  210d
34. Evaluate the function f (x) 
x2
 2 when x  6.
3
A 14
B 2
C 6
D 10
35. Which is the dependent variable in the following situation?
“The teacher ordered two binders for each student.”
A total cost
B date of order
C number of binders
D number of students
36. What is the slope and y-intercept of the graph?
1
4
1
B slope 4
A slope
C slope =
D slope = -
y-intercept = 3
y-intercept = 3
y-intercept = 3
y-intercept = 3
37.
o
the line described
by y = 2x + 4?
1
x
2
A y=
-2x +
4B y = -
C y=
1
x
2
+5D y = 2x
+11
+ 20
38. Which set of ordered pairs satisfies a linear function?
A {(6, 6), (3, 3), (0, 0), (3, 3), (6, 6)}
B {(2, 6), (1, 3), (0, 2),(1, 3), (2, 6)}
C {(2, 6), (1, 3), (0, 0), (1, 3), (2, 6)}
D {(6, 2), (6, 1), (6, 0), (6, 1), (6, 2)}
39. A health insurance plan has a $50 enrollment fee and a co-payment of $5
for each doctor visit. The function
f(x) = 5x + 50 gives the cost of x doctor visits. What is the range of this function?
A
B
C
D
{x  50}
{0, 1, 2, 3, ...}
{5, 55, 105, 155, ...}
{50, 55, 60, 65, ...}
40. Carla has $300 in her bank account. Each time she goes to the ATM, she
withdraws $20. The amount of money left in her bank account after x ATM
withdrawals is represented by the function f(x) =
+ 20x. What does the xintercept represent?
A After 0 withdrawals, Carla has $300 in her account.
B After 15 withdrawals, Carla has $0 in her account.
C After 20 withdrawals, Carla has $0 in her account.
D After 20 withdrawals, Carla has $15 left in her account.
41. Which ordered pair is a solution of
y  x  1?
A (0, 2)
B (1, 3)
C (2, 3)
D (3, 3)
4x  2y  6
.
 y  2x  3
42. Solve 
A no solution
B (0, 0)
3

C  , 0
2 
D infinitely many solutions
43. The solution of which linear inequality is graphed below?
A 3x  y  4
B 3x  y  4
C 3x  y  4
D 3x  y ≤ 4
44. For which system of linear inequalities is the ordered pair (1, 3) a solution?
 y  x  6
 y  2x  3
B 
 y  x  6
 y  2x  3
D 
A 
C 
 y  x  6
 y  2x  3
 y  x  6
 y  2x  3
 y  3x  2
.
3x  2y  13
45. Solve by substitution: 
A (2, 4)
B (3, 11)
C (11, 3)
D (1, 5)
2x  3y  7
.
2y  4x  10
46. Solve by elimination: 
A (1, 3)
B (2, 1)
C (1, 3)
D (1, 2)
47. Estimate a solution to the system.
A (3, 2)
B (2.5, 3.5)
C (3.5, 2.5)
D (4, 2)
48. Robin has $24.50 and her brother Wayne has $68.50. Her brother is paying her
$2.75 each day to help with his chores. When will they have the same amount of
money?
A 4 days
B 8 days
C 16 days
D 44 days
49. Which type of graph would be best for displaying this data?
Actors/Actresses with The
Most Oscar Nominations
Actor/Actress Nominations
Meryl Streep
13
Katherine
12
Hepburn
Jack Nicholson
12
Bette Davis
10
Laurence Olivier
10
A
B
C
D
bar graph
histogram
circle graph
line graph
Stem Leaves
50. This stem-and-leaf
plot gives the
0 99
number of gold
1 01467
medals won by ten
2 7
countries during the
3 25
2004 Olympics.
Key: 3 | 2 means 32
Which data set is
plotted?
A {0, 1, 2, 4, 5, 6, 7, 7, 9, 9}
B {1, 11, 23, 41, 53, 61, 71, 72, 90, 90}
C {9, 9, 10, 11, 14, 16, 17, 27, 32, 35}
D {27, 99, 325, 101, 467}
51. What is wrong with this histogram?
A The bar for 40–44 is too short
and the bar for 45–49 is too tall.
B The bar for 50–54 is too tall.
C The bar for 50–54 is too short
and the bar for 55–59 is too tall.
D The bar for 55–59 is too short.
52. Malcolm surveys 200 members at a fitness club and calculates the median number
of hours they exercise per week. Explain why this statement is misleading: “The
average person spends 10 hours per week exercising.”
A Outliers may make the median an extreme measure of central tendency.
B The mean is always a better measure of central tendency to describe data.
C The sample is biased because people attending a fitness club are more likely to
exercise frequently.
D The sample size is much too small.
53. The data sets below show the numbers of cookies purchased by students at a bake
sale. Which of the data sets is represented by the dot plot?
A 2 2 4 4 1 1 5 1 3 2 1
B 2 4 4 2 3 3 2 1 1 3 5 1 2 2 1
C 1 2 1 1 2 1 2 2 3 4 5 1 3 4 4
D 3 2 2 3 1 3 1 4 4 5 1 1 1 2 2
54. What is the best measure of spread to use to compare the two data sets?
Income of ten recent graduates from college A (in thousands of dollars
per year):
0 35 38 39 45 47 50 51 52 52
Income of ten recent graduates
from college B (in thousands of
dollars per year):
29 35 36 37 38 39 41 42 46 400
A Median
B Either the mean or the median
C Inter-quartile range
D Either the standard deviation or the inter-quartile range
55. What is the best measure of center to use to compare the two data sets?
Grams of sugar per serving in cereal brand A:
Grams of sugar per serving in cereal brand B:
A Median
B Either the mean or the median
C Inter-quartile range
D Either the standard deviation
56. If the extreme values are removed from this data set, which of the following
statistics change by more than 1?
10
40
41
41
42
42
43
43
43
44
45
45
45
46
65
A Mean
B Standard deviation
C Median
D Inter-quartile range
E Range
57. The ages of ten employees at a small company are shown below.
30, 32, 35, 35, 38, 38, 38, 40, 40, 45
If the data set were expanded to include a new employee who is 20 years old, how
would the mean of the data set change?
A The mean decreases by 2 years.
B The mean decreases by about
1.6 years.
C The mean increases by about
1.6 years.
D The mean does not change.