Download 1 - RPDP

Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
1. Evaluate
4. The table shows the daily low temperatures
at a school in Fargo, North Dakota.
2x
when x  4 and y  8 .
y
Day
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
(A) 1
(B) 3
(C) 4
(D) 8
Temperature
–2
–5
0
3
4
–1
6
2. Which expression is equivalent to 45 ?
(A) 4  5
What is the order of the temperatures from
least to greatest?
(B) 5  5  5  5
(A) 6, 4, 3, 0, –1, –2, –5
(C) 4  4  4  4  4
(B) –5, –2, –1, 0, 3, 4, 6
(D) 4  4  4  4  4
(C) –1, –2, –5, 0, 3, 4, 6
(D) 0, –1, –2, 3, 4, –5, 6
3. Using the order of operations, what is the
first operation performed when evaluating
the expression 8  4  2  4  6 ?
5. What is the value of 11  5 ?
(A) addition
(A) –16
(B) division
(B) –6
(C) multiplication
(C) 6
(D) subtraction
(D) 16
6. A student wants to buy a game system that
costs $225. His savings account has a
balance of $167. He deposits $16 per week
for 5 weeks. During the sixth week, he
withdraws $13. Will he have enough
money remaining to buy the game system?
(A) Yes, he will have $9 extra.
(B) Yes, he will have $22 extra.
(C) No, he will need $50 more.
(D) No, he will need $55 more.
2010–2011
Clark County School District
1
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
7. What is the value of 4  9 ?
10. What property is illustrated?
19  8 12  19  8 12
(A) 13
(B) 5
(C) –5
(A) Associative Property
(D) –13
(B) Commutative Property
(C) Distributive Property
8. Calculate the value of 56   8 .
(D) Identity Property
(A) –48
11. A student simplified an expression using
the following steps:
(B) –7
Step 1: x  2  4  5x 
(C) 7
(D) 48
Step 2: x  8 10 x
9. Use the coordinate plane.
Step 3: x 10x  8
Step 4: 9 x  8
A
D
What property justifies the change from
Step 2 to Step 3?
(A) Associative Property
B
(B) Commutative Property
(C) Distributive Property
C
(D) Identity Property
12. Which equation shows a correct use of the
Distributive Property?
What point represents the
coordinates  4, 0  ?
(A) 6  x  4  6 x  4
(A) Point A
(B) 6  x  4  6 x  4
(B) Point B
(C) 6  x  4  6 x  24
(C) Point C
(D) 6  x  4  6 x  24
(D) Point D
2010–2011
Clark County School District
2
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
13. Simplify the expression 8  x  3  4 x .
17. What value of y satisfies the equation?
(A) 12x  3
(A) 72
(B) 12x  24
(B) 2
(C) –2
(C) 12x
(D) –72
(D) 20x
18. Solve for x in the equation.
14. An art student is creating a rectangular
frame. Let w represent the width of the
frame. The length is 3 more than the width.
Which expression represents the perimeter
of the frame?
(A) 4.94
(B) 6.29
(C) 6.59
(D) 7.94
(A) 4w
(B) 10w
19. What would be the best choice for the first
step when solving the equation?
(C) 2w 3
(D) 4w 6
2x 13  27
15. For which equation is the correct solution
given?
(A)
(A) Subtract 13 from both sides.
(B) Add 13 to both sides.
a
 9 , when a  45
5
(C) Divide both sides by 2.
(D) Multiply both sides by 2.
(B) b 14  15 , when b  1
20. What is the value of x in the equation?
(C) 4  c  13 , when c  17
(D) 3d  51 , when d  17
(A) –7
(B) –3
16. Solve for x in the equation.
(C) 3
(A) –30
(D) 7
(B) –14
(C) 14
(D) 30
2010–2011
Clark County School District
3
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
21. If 4 more than 2 times a number is 12,
what is the number?
24. Shannon has $15 in her savings account.
She plans to deposit $9 per week. Her
brother has $105 in his savings account
and plans to withdraw $6 per week. How
many weeks will it take until both Shannon
and her brother have an equal amount of
money in their savings accounts?
(A) 2
(B) 4
(C) 6
(D) 8
(A) 6 weeks
(B) 8 weeks
22. What is the solution to the equation?
(A) x = –7
(C) 30 weeks
(B) x = –6
(D) 40 weeks
(C) x = –4
25. This question obsolete as of 2011–2012.
See new test specifications and practice
questions.
(D) x = –3
23. What value of x makes the equation true?
26. This question obsolete as of 2011–2012.
See new test specifications and practice
questions.
(A) –9
(B) –5
(C) 3
(D) 5
2010–2011
Clark County School District
4
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
27. This question obsolete as of 2011–2012.
See new test specifications and practice
questions.
30. What is the greatest common factor (GCF)
of 6x3 y and 15x 2 y 4 ?
(A) 3x3 y 4
28. This question obsolete as of 2011–2012.
See new test specifications and practice
questions.
(B) 3x 2 y
(C) 30x3 y 4
29. What is the prime factorization of 60?
(D) 30x 2 y
(A) 2  3  5
31. Write the fraction in simplest form.
(B) 3  4  5
(C) 22  3  5
(A)
3a 4
8
(B)
3a3
8
(D) 22 15
9a 4
(C)
24
(D)
9a 3
24
32. What is the least common multiple (LCM)
of 9x 4 y3 and 12x 2 y 5 ?
(A) 3x 2 y 3
(B) 3x 4 y 5
(C) 36x 4 y5
(D) 36x 2 y3
2010–2011
Clark County School District
5
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
33. What is 3.46 105 written in standard
form?
37. What is the decimal equivalent of 7
(A) 0.00000346
(A) 7.65
(B) 0.0000346
(B) 7.13
(C) 346,000
(C) 7.13
(D) 34,600,000
(D) 7.65
34. What is 0.000716 written in scientific
notation?
13
?
20
38. Order the numbers from least to greatest.
(A)
(A) 7.16 104
(B) 7.16 103
2 3 5
, , , 0.06, 0.65
3 5 8
(B) 0.06, 0.65,
(C) 7.16 103
(D) 7.16 104
(C) 0.06,
35. Which number is equivalent
2
to 7 ?
3
(D)
2 3 5
, ,
3 5 8
3 5
2
, , 0.65,
5 8
3
2
5 3
, 0.65, , , 0.06
3
8 5
(A) 7.23
(B) 7.23
(C) 7.66
(D) 7.6
36. Which fraction is equivalent to 0.576?
(A)
144
25
(B)
72
125
(C)
1
576
(D)
6
625
2010–2011
Clark County School District
6
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
39. Steven rides his bike directly from home to
1
school. After riding 2 miles, a friend
2
3
joins him. Together they ride another 3
4
miles to school. What is the distance from
Steven’s house to school?
(A)
42. Solve the equation.
20
miles
6
1
(B) 1 miles
4
(C) 5
4
miles
6
(D) 6
1
miles
4
40. Evaluate
(A) x 
10
3
(B) x 
10
3
(C) x 
3
10
(D) x 
3
10
43. What process is used to obtain the equation
shown in Step 2?
Step 1: 0.4x  0.35x  8
Step 2: 40x  35x  800
x
when x  3.25 and y  2.5 .
y
(A) divide by 10
(B) divide by 100
(A) 0.13
(C) multiply by 10
(B) 0.13
(D) multiply by 100
(C) 1.3
44. Michelle has a choice of purchasing two
different sizes of shampoo at the store. The
8-ounce bottle costs $5.10 and the 12-ounce
bottle costs $7.59. Which size bottle of
shampoo is the better buy and why?
(D) 1.3
41. Angel has 56 cups of apple juice. How
7
many cup servings will that make?
8
(A) The 8-ounce bottle because it costs 63
cents per ounce.
(A) 64 servings
(B) The 8-ounce bottle because it costs 64
cents per ounce.
(B) 49 servings
(C)
1
serving
49
(C) The 12-ounce bottle because it costs
63 cents per ounce.
(D)
1
serving
64
(D) The 12-ounce bottle because it costs
64 cents per ounce.
2010–2011
Clark County School District
7
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
45. Mario and 5 friends went out for dinner.
The total cost of the meal was $35.40.
What was the cost per person?
48. Triangle ABC is similar to triangle DEF as
shown.
D
Note: Figures not
drawn to scale.
(A) $5.90
17
A
(B) $6.00
14
(C) $7.00
E
15
(D) $7.08
F
20
B
46. The trip from Las Vegas to Los Angeles
takes 5.25 hours in the car. How long is the
trip in minutes?
x
C
Which proportion can be used to find the
value of x in triangle ABC?
(A) 315 minutes
(B) 325 minutes
(C) 3150 minutes
(A)
15 17

x 20
(B)
14 17

20 x
(C)
20 15

14 x
(D)
20 x

14 15
(D) 3250 minutes
47. A recipe requires 8 cups of lettuce to make
10 tacos. How many cups of lettuce would
be needed to make 40 tacos?
(A) 2 cups
(B) 32 cups
(C) 38 cups
(D) 50 cups
2010–2011
Clark County School District
8
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
49. Figure ABCDE is similar to figure VWXYZ.
Note: Figures not
drawn to scale.
A
36
B
E
V
24
30
D
Z
W
n
C
Y
X
What is the value of n?
(A) 45
(B) 28
(C) 20
(D) 18
50. A 6-meter flagpole casts a shadow of
8 meters at the same time a nearby
building casts a 24-meter shadow. How tall
is the building?
(A) 14 meters
(B) 18 meters
(C) 22 meters
(D) 32 meters
2010–2011
Clark County School District
9
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
Free Response
1. The table shows the approximate populations of several countries in 2009.
Country
Population
Pakistan
169, 000, 000
Cuba
Egypt
1.12  107
78, 000, 000
Bolivia
9.8  106
(a) Express the population of Pakistan in scientific notation.
(b) Express the population of Bolivia in standard notation.
(c) List the populations of all four countries from least to greatest. Explain how you got your answer.
2010–2011
Clark County School District
1
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
Free Response
2. The local gym offers two different yearly plans:
Plan One: $115 per year
Plan Two: $25 per year plus $6 per visit
(a) Write a linear equation to find when the number of visits for Plan One equals the number of
visits for Plan Two.
(b) After how many visits will the cost of the two plans be equal? Show your work to support
your answer.
2010–2011
Clark County School District
2
Revised 08/02/2011
GO ON
Pre-Algebra 8 2010–2011 Semester 1 Exam — Released
Free Response
3. A 12-ounce box of rice costs $2.88. A 32-ounce box of rice costs $6.40.
(a) Which box has the lower price per ounce? Show work to support your answer.
(b) Melvin buys 10 pounds of rice. How much money would Melvin save by buying the package
with the lower unit price? (1 pound = 16 ounces.) Show work to support your answer.
2010–2011
Clark County School District
3
Revised 08/02/2011
GO ON