MATH
Grade 8 ~ ALGEBRA 1
Curriculum Based Assessment (CBA)
#2
Some questions (c) 2015 by Region 10 Educational Service Center.
Some questions (c) 2015 by Progress Testing.
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1
The table below shows a relationship between x and y.
x
y
-2
-5
0
1
2
7
4
13
Which of the following equations best represents this relationship?
A
y = -2x - 5
B
y = 3x - 1
C
y = x + 1
D y = 3x + 1
2
Which of the following is the equation of the straight line with slope of 2 and with the
same y-intercept as that of the line represented by the equation y = 4x − 2?
F
y = 4x + 2
G
y = 2x + H
y = 4x − J
3
y = 2x − 2
Which situation can be represented by y=12x - 4?
A
The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold
B
The cost, y, of buying x movie tickets that sell for $8 each
C
The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each
D The number of inches, y, in an x-foot-tall tree after cutting off 4 feet.
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4
A ball is thrown straight up in the air. The graph below illustrates how the velocity of
the ball changes over time. The horizontal axis represents time, t, in seconds, and the
vertical axis represents velocity, v, in feet per second.
Which of the following represents the equation of this graph?
F
v = 4 − 128t
G v = 32 − 128t
H v = 128 − 32t
J
v = 128 − 4t
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5
A graph is shown below.
Which of the following equations are represented by the graph?
I. II. III. IV. A
II and IV
B
I and III
C
II and III
D I and IV
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6
Movie Galore Video Store is open every day of the year. To rent movies from the
store, a person has to pay an annual membership fee of $20, plus $2.50 for each
movie rented. To reduce the chance that movies are returned late, members are not
allowed to rent more than 10 movies per day. Billy decides to become a member of
the video store. Let x represent the number of movies that Billy could rent next year,
and let f (x) represent the amount (in dollars) that he would pay the store as a result.
Then f (x) is a function of x. What is the domain D and range R of f (x)?
F
G
H
J
7
A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one
of these planes to ship 2,000-pound containers. The total cargo weight is a function of
the number of containers in the plane. What is the greatest value in the domain for this
situation?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
8
Let f(s) = 3s where s represents the speed in miles per hour of a car and f(s)
represents the total distance traveled. If the car’s maximum speed is 75 mph, what is
a reasonable range for the function?
F
0 ≤ y ≤ 75
G 0 ≤ y ≤ 225
H y ≤ 75
J
y ≥ 0
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9
What is the range of the function y = 5 - 2x when the domain is {0, 1, 2, 3}?
A
{5, 6, 7, 8}
B
{5, 3, 1, -1}
C
{5, 7, 9, 11}
D {-5, -3, -1, 1}
10
The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found
using the function f(c) = . If there are no more than 5,000 cars transported by
ferryboat daily, what is the
range of the function for this situation?
F
The set of all integers greater than or equal to 5,000
G The set of all integers from 0 to 5,000
H The set of all integers greater than or equal to 250
J
The set of all integers from 0 to 250
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