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Transcript
Name: ____________________________________
Algebra I - Q2 Castle Learning Review Quiz
This assignment will count as a 30-point quiz grade in your second quarter average. It must be completed by 11:59 PM on Sunday, January 31.
1. A. B. C. D. Solve for x: 8x + 9 = 5x + 6
The sum of two numbers is 47, and their
difference is 15. What is the larger number?
A. 16
B. 31
C. 32
D. 36
−1
1
5
−3/13
2. Solve the following system of equations algebraically:
2y = 8 − x
y − 2x = −1
The solution is x = , y = 3. Solve the following system of equations algebraically
or graphically, and check:
3y = 2x − 6
x + y = 8
Answer: x = 6. 7. Julia went to the movies and bought one
jumbo popcorn and two chocolate chip cookies for
$5.00. Marvin went to the same movie and bought one
jumbo popcorn and four chocolate chip cookies for
$6.00. How much does one chocolate chip cookie cost?
A. $0.50
B. $0.75
C. $1.00
D. $2.00
8. , y = 4. The sophomore class at South High School raised
$800 from the sale of tickets to a dance. Tickets sold for
$1.50 in advance, and $2.00 at the door. If a total of
475 tickets were sold, the number of tickets sold at the
door was .
Danielle has twenty-seven coins consisting of
quarters and dimes. The sum of money Danielle has is
$4.80. Write a system of equations that could be solved
to determine how many of each coin Danielle has.
A. B. 5. Solve the following system of equations for x:
2x + y = 10
3x = y
A. B. C. D. 6
2
-4
4
C. D. 9. If x + ay = b, then y equals
11. Which diagram represents a relation in which
each member of the domain corresponds to only one
member of its range?
A. B. C. b - x - a
A. D. 10. The equation P = 2L + 2W is equivalent to
A. B. B. C. D. L = P – W
C. D. 12. Which graph does not represent a function
14. The diagram below represents a relation.
of x?
A. List the ordered pairs in the relation and tell whether or
not the relation is also a function.
A. {(1, 4), (2, 4), (3, 5)}; the relation is a function
B. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is not a
function
C. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is a
function
D. {(1, 4), (2, 4), (3, 5)}; the relation is not a
function
15. The accompanying graph represents the yearly cost
of playing 0 to 5 games of golf at the Shadybrook Golf
Course.
B. C. D. 13. Which set of ordered pairs does not
represent a function?
A. {(3,-2), (-2,3), (4,-1), (-1,4)}
B. {(3,-2), (3,-4), (4,-1), (4,-3)}
C. {(3,-2), (4,-3), (5,-4), (6,-5)}
D. {(3,-2), (5,-2), (4,-2), (-1,-2)}
The total cost of joining the club and playing 10 games
during the year is $
.
16. Which of the following diagrams shows a mapping of a relation from set A to set B that is not a
function?
A. B. C. D. 17. A. B. C. D. Andy is 6 feet tall. If 1 inch equals 2.54 centimeters, how tall is Andy, to the nearest centimeter?
15
30
183
213
Figure 1
The table below represents the number of hours a student worked and the amount of money the student earned.
18. [Refer to figure 1]
What equation correctly represents the number of
dollars, d, earned in terms of the number of hours, h,
worked?
A. h = 6.25d
B. d = 6.25h
C. h = 50 + 6.25d
D. d = 50 + 6.25h
19. 20. What is the equation of line L in the graph
below?
Find the explicit formula for the following
sequence.
1, 3, 5, 7, 9
A. B. C. D. an = 2n − 1 an = n + 2
an = 2n + 1
an = 2n + 2
A. B. C. D. 21. y = 4
x = 4
y = x + 4
x = y + 4
An equation whose graph has a slope of −2
and a y-intercept of 3 is
A. x = −2y + 3
B. y = −2x + 3
C. x = 3y − 2
D. y = 3x − 2
22. Which equation represents the line whose
slope is −2 and that passes through point (0, 3)?
A. y = −2x + 3
B. y = −2x − 3
C. y = 3x − 2
D. y = 2x + 3
23. 25. The table of ordered pairs represents a
function. Identify the function rule for the following table:
What is the slope of the line whose equation
is 3x + y = 4?
A. 3x
B. -3
C. 3
D. 4
A. B. C. D. 24. Fill in the missing values for the equation of the line
from the following graph. Express the values as decimal
numbers, rounded to the nearest tenth if needed.
y = 2x + 1
y = 10x - 5
y = 5x + 5
y = 5x - 5
26. Find the recursive formula for the following
sequence:
3, 7, 13, 21, 31 A. a1 = 3, an = an-1 + (n + 2)
B. C. D. 27. a1 = 3, an = an-1 + n2
a1 = 3, an = an-1 + 2n
a1 = 3, an = 2(an-1) + 1
What is the common difference, d, for the
following sequence?
9, 6.5, 4, 1.5, …
A. 1.5
B. 2
C. −2.5
D. −3
y = mx + b y = 28. x + What is the common difference, d, in the
arithmetic sequence defined by the formula an = 2n +
1?
A. 1
B. 2
C. n
D. 2n
29. What is the common ratio, r, for the
following sequence?
A. B. 7
C. D. 4
30. Find the 10th term of the sequence: 3, 6,
12, …
A. 512
B. 768
C. 1024
D. 1536