Download Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam

Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
5. What value of x makes the system of
equations true?
2
1. Which number is equivalent to 7 ?
3
y = 10 x + 4
y = 14 x − 4
(A) 7.23
(B) 7.23
6. A music website sold 94 single songs and
67 albums today. The number of single
downloads has been increasing by 22 each
day. The number of album downloads has
been decreasing by 5 each day. If these
trends continue, in how many days will the
numbers of single downloads be ten times
the number of album downloads?
(C) 7.66
(D) 7.6
2. Which fraction is equivalent to 0.576?
3. What is the decimal equivalent of
13
?
6
7. Which equation has infinitely many
solutions?
4. Which ordered pair is a solution of the
system graphed?
(A) 7 x − 6 − 4 x = 3 x + 6
(B) 12 x = 6 x
(C) −3 x + 4 = 5 x + 12
(D) 5 x − 3 = 2 x − 3 + 3 x
8. Evaluate the expression 5−3 ⋅ 54 ⋅ 5
9. If
yt
= y12 , what is the value of t?
4
y
3
2
10. Which expression is equivalent to ⎛⎜ −24x ⎞⎟ ?
(A)
(0, 2)
(B)
(0,7 )
(A) −6 x
(C)
(5,3)
(B) −
(D)
(3,5)
2
x6
(C) −
6
x2
(D) −
8
x6
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⎝ x
1
Revised 10/23/2013
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⎠
Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
11. Choose the best values for M and N so that
the equation will have no solutions.
17. Which of the following represent the value
of 𝑥?
x2 = 7
−4 + 2 ( 6 x − 1) = 3( Mx + N )
Use the given information to answer the
following questions, 18-20.
12. Solve for x .
3.5 ( x + 4) + 4.5x = 2 ( x − 6.5)
x 2 4 6 8
Function 1:
y 0 2 4 6
13. The length of a student desk is measured to
be 6.5 ×103 units. What is the best choice
for the units for this measurement?
Function 2:
14. A calculator displays this number.
y = 3x + 1
Function 3:
–
3.7 E 8
Which is this number in scientific
notation?
(A) 37 ×10−8
(B) 3.7 ×10−8
(C) 37 ×108
(D) 3.7 ×108
18. What is the y-intercept for Function 1?
15. How much larger is 9 × 105 compared to
3 × 103 ?
16. Tommy and Larry began reading the same
book at the same time. Each boy reads at
different rates.
After 4 minutes, Tommy is on page 9.
After 2 minutes, Larry is on page 6.
Who is reading at a greater rate of change?
19. Which function has a greater rate of
change?
20. Which function is a proportional
relationship?
21. Order the numbers from least to greatest.
5
− 5, , 2−2 , − π
4
1
(A) Tommy’s reading rate which is 2
4
pages/min.
22. What is 2.01×106 written in standard form?
(A) 0.00000201
1
(B) Larry’s reading rate which is 2
4
pages/min.
(C) Tommy’s reading rate which is 3
pages/min.
(D) Larry’s reading rate which is 3
pages/min.
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(B) 0.000000201
(C) 2,010,000
(D) 201,000,000
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Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
23. What is 0.005016 written in scientific
notation?
27. Solve for k.
4
7 13
3
k+ = k−
5
10 15
5
24. How many solutions does the following
system of equations have?
28. Which of the following numbers are not
rational?
−2 ( 2 x + y ) = 3
2 ( −2 x − y ) = 3
I.
25. Which ordered pair satisfies both
equations?
y = −2 x − 3
13
2
II. −2
III. 2π
1
y = x+2
2
IV.
26. Given the graph of the line, what is the
correct linear equation?
13
29. Which of the following representations are
linear functions.
I.
{(1,5)(3, −1)( 4, −4)(2, 2)(5, −7 )}
II. y = x 2
III.
Input
−2 −1 0 1 2
Output −4 −1 0 1 4
1
x+6
2
1
(B) y = x − 3
2
−1
(C) y =
x −3
2
(D) y = 2 x + 3
(A) y =
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Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
30. Two cars were traveling to California. The
distance traveled by Car #1 is displayed in
the table and the distance traveled by Car
#2 is modeled by the equation. Which car
is going faster?
32. The distance from the sun to the planets are
shown below:
Car #1:
Hours Car #2:
2 Miles driven 140 4 6 280 420 Earth
1.5 ×108 km
Saturn
1.43 ×109 km
Uranus
2.87 ×109 km
When these three distances are added
together they total the distance from the sun
to Neptune. How far it is from the sun to
Neptune?
33. Which of the following tables represent
functions?
y = 65x + 30
x is time in hours
y is miles driven
I.
Input
0
1
2
3
Output
5
5
5
5
II.
Input
1
0
2
3
Output
1
2
3
4
III.
Input
-2
0
2
4
Output
−11
8
4
7
IV.
Input
3
3
3
3
Output
2
−2
−3
3
31. Which input/output pairs match the graph
below?
(A)
(B)
(C)
(D)
{(3,0)(6, −1)(3,1)( −3,5)}
{(3,0)( −1,6)(1,3)(5, −3)}
{(0,3)(6, −1)(3,1)( −3,5)}
{(0,3)( −1,6)(1,3)(5, −3)}
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Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
34. Which graph below represents a function?
35. Which graph best represents the equation
2
y = x + 3?
5
(A)
(A)
(B)
(B)
(C)
(C)
(D)
(D)
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Version C Pre-Algebra 8 2013–2014 Practice Semester 1Exam
36. Triangle ABC is similar to triangle KLM
!
where the ratio of proportionality is !, and
AB = 24 centimeters.
What is KL?
39. In the diagram, AB is the hypotenuse
of the right triangle ABD and BC is the
hypotenuse of the right triangle BCE.
B
L
K
A
C
B
E
M
C
37. Two neighbors are filling their swimming
pools that are the same size. Which pool is
filling faster?
D
A
Pool #1:
Water in pool (inches)
Which statement(s) are true?
I.
CE BD
=
CB BA
II. VABD is similar to VBCE
III. The slope of AB is the same as the slope of
BC .
Minutes
Pool #2:
y = 2x
𝑥 is time in hours
𝑦 is inches
(A) I and II only
(B) II and III only
(C) I, II, and III
(D) None are true.
38. For which equation is the set of ordered
pairs a solution?
{( −1,5)(0,3)(1,1)( 2, −1)}
(A) y = 2 x + 3
(B) y = 2 x − 3
(C) y = −2 x
(D) y = −2 x + 3
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Practice C Pre-Algebra 8 2013–2014 Semester 1 Exam Free Response
1. The table shows the approximate populations of several countries in 2009.
Country
China
United States
Population
1.24 𝑥 10!
3.1 𝑥 10!
(a) How many times larger is China’s population that the United States? Explain each step of your
work and state the answer.
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Practice C Pre-Algebra 8 2013–2014 Semester 1 Exam Free Response
2. Tommy’s Telephone service offers the following plans:
Plan One: $160 monthly fee plus unlimited data.
Plan Two: $70 monthly fee plus 15 cents per Megabyte of data.
(a) Write a linear equation to find when the number of visits for Plan One equals the cost for Plan
Two.
(b) After how many Megabytes will the cost of the two plans be equal? Show your work to
support your answer.
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Practice C Pre-Algebra 8 2013–2014 Semester 1 Exam Free Response
3. Explain the difference between a rational number and an irrational number. Give an example of
each.
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