Name____________________________
Midterm Review
Period_______
Date_________
1.
This arrangement of tables and seats follows a pattern. If the pattern
continues, how many seats will there be for 10 tables?
2.
Which of the following representations model
the pattern shown, if x represents the figure
number and y represents the number of
blocks in the figure? Select all that apply.
y = 2x + 1
y=x+2
The number of blocks is 1 block in the
corner plus 2 times the figure number.
The number of blocks is the
figure number plus 2 blocks.
3. A line of grocery carts pushed inside each other is the length of one cart, 4 feet,
plus ½ foot for each additional cart. Which graph represents the length of this line
of stacked carts?
4.
Match the rules with the table of data it would generate.
5.
Which of the following data tables represent functional relationships? Select
all that apply.
6.
A person starts 10 feet from a motion detector and runs toward it at a very
fast, constant rate of speed. Which of the following describes the graph of the
person's distance from the detector as a function of time?
A. The graph is a horizontal line.
B. The graph is a fairly flat curve that begins at the point (0,10) and falls from left
to right.
C. The graph is a very steep line that begins at the point (0,10) and falls from left
to right.
D. The graph is a very steep line that starts at the point (0,10) and rises from left to
right.
7.
In 2001, the enrollment at an after-school childcare program was
approximately 2500 students. In 2005, the enrollment had increased to 3250
students. If the enrollment continues to increase at this constant rate, what is a
reasonable projection of the afterschool enrollment for 2013?
A. 6500
B. 4000
C. 5750
D. 4750
8.
Bob decides to collect comic books. His father gives him 10 comic books to
start. Bob buys 3 comic books with part of his allowance each month. The table
shows how many comic books Bob has at the end of each month. Write an
algebraic equation that represents this relationship.
y = _______x + ________
9.
The input/output table below represents a linear relationship. What is the
output when the input is 3?
10. Each of the tables below lists ordered pairs. Which table contains points that
lie on a line that has a slope of −1?
11.
Simplify completely: (3x − 7) + 2(x + 4) =
12.
Which equation describes a line that has a y-intercept of 8 and a slope of -4?
A.
B.
C.
D.
y = 8x – 4
y = -4 + 8x
y = -4x + 8
y = -4(x – 8)
13. A cable company charges an installation fee of $20 plus an additional
monthly fee of $35. A second cable company charges $45 for installation and $25
per month. Suppose you were to graph both these situations, with the number of
months on the x-axis and the total amount paid on the y-axis. How do the slope and
y-intercept of the graph of the cost for the second company compare to the graph
of the cost for the first company?
A. The y-intercept is 30 units greater and the slope is 15 units greater.
B. The y-intercept is 15 units greater and the slope is 30 units greater.
C. The y-intercept is 20 units greater and the slope is 25 units greater.
D. The y-intercept is 25 units greater and the slope is 10 units greater.
14. Kesha, Lindsey, and Maria are members of the track team. During a recent
practice, each girl ran around the track, timed herself with a stopwatch, and
computed her average speed.
Kesha ran 810 meters in 6 minutes. Maria ran 980 meters in 6.5 minutes, while
Lindsey ran 1000 meters in 4 minutes. Write the equation for each girl that
represents her distance, y, as a function of time, x, given the rate at which she ran.
Kesha:
y = _________________
Maria:
y = _________________
Lindsey:
y = _________________
15.
Mario was given this question on a test:
In 1997, for first-class postage, it cost $0.32 for the first ounce and $0.25 for each
additional ounce to mail a letter. What would be the equation for C, the cost of
mailing a letter that weighs x number of ounces?
Mario wrote this equation: C = 0.25x + 0.32
His teacher marked the equation incorrect. Why?
16.
What is the equation of the line in the given graph?
17. Describe the skate modeled by this graph. Include the rates, direction, and
times for each portion of the skate.
18.
Pottsgrove is one of the fastest growing communities in the state. In fact,
the town had to build a new high school to accommodate the growth, and the
population continues to grow.
As a result of this population explosion, Pottsgrove High has had to expand the
size of its parking lot each year since opening. Here is a partial table documenting
the parking lot construction:
Number of years since opening
2
4
6
Perimeter of parking lot in yards
1200
1800
2400
a. Why would a linear function be an appropriate model for these data?
b. What is the value of the y-intercept of a graph of these data, and what does it
mean in this problem situation?
c. Find the equation of a line that best represents the information given.