INTENSIFIED ALGEBRA Semester 1 review
1. Which relations are functions?
Select all that apply.
A.
2. What is the value of the expression
f ( x ) = 9 + 12 x for f (−3) ?
A. 27
B. -27
C.36
D.-36
3. The number of computers C sold at a
store is C = 3(2 p − 10) for p people who
walk into the store each month. What is
an equivalent form for this rule?
B
A. C = 5 p − 10
B. C = 6 p − 10
C. C = 5 p − 13
D. C = 6 p − 30
5
?
3
8
C.
3
4. What is the reciprocal of
A. −
C. .
5
3
B.
3
5
D. 1
2
5
5. Doug has ducks and dogs. He counts
legs. I don't know why. If he has x ducks
and y dogs and all have the usual
number of legs, what is an expression
for the number of legs that Doug will
count for his animals?
A. 2( x + y )
B. 2 x + 4 y
C. 4( x + 2 y ) D. 4 x + 2 y
D.
6.
x
f(x)
1
4
2
7
3
10
4
13
5
16
6
19
What is the linear function represented in
the table?
Fall 2015
A. f ( x) = 3x
B. f ( x) = x + 3
C. f ( x) = 5 x − 1
D. f ( x) = 3x + 1
Page 1 of 10
INTENSIFIED ALGEBRA Semester 1 review
7. Choose the model for each situation.
A. Joe is eating M&Ms. He eats 3 at
a time, since he is very organized,
and eats them at the beginning of
every minute. If his bag of M&Ms
originally had 100 candies, then
which expression shows how many
candies he has left, after T minutes.
10.
The scatterplot above has …
A. M = 100 + 3T
A. negative correlation
B. M = 3 + 100T
B. positive correlation
C. M = 100 − 3T
C. no correlation
D. M = 100 − T
B. Sam's pool has 72 inches of water in
it today (height). Every time it rains,
the pool water rises 1.5 inches. If it
rains R times then which gives the
height of the water in Sam's pool?
A. W = 72 + 1.5R
11.
The scatterplot above has …
A. negative correlation
B. W = 72 − 1.5 R
B. positive correlation
C. W = 1.5 + W + 72
C. no correlation
D. W = 1.5 + 72 R
8. Choose the equation of the line with
slope 3 and 𝑦-intercept 10.
A. y = 10 x + 3
12. What is the 𝑦-intercept of the line
graphed below?
A. -1.5
B. 4
C. -3
D. 1/2
B. y = 3 x + 10
C. y = 10 + 3 + x D. y = x + 3
9. The scatterplot below has …
A. negative correlation
B. positive correlation
C. no correlation
Fall 2015
Page 2 of 10
INTENSIFIED ALGEBRA Semester 1 review
13. d
Distance of Turtle vs Time
p
q
s
r
14. Marilee has a cell phone plan that costs
$16 a month plus $0.10 per text.
Marilee has $30 for this month's bill.
How many texts can she send? (Ignore
taxes.)
t
1 2 3 4 5 6 7 8
Terrance Turtle crawled toward and then
away from Tortoise Rock, with distance and
time graphed above.
A. 140
B. 300
C. 160
D. 460
15.
𝑚
A. If time is graphed in seconds
then tell when Terrance was
was moving the fastest.
𝑙
A. 0 to 3 seconds
B. 3 to 5 seconds
C. 5 to 7 seconds
D. 7 to 8 seconds
B. For what interval was Terrance
standing still?
A. p
C. r
B. q
D. s
C. In which interval is the rate of
change positive?
A. p
B. q
C. r
D. s
D. In which interval is the rate of
change zero?
A. p
B. q
C. r
D. s
Fall 2015
What is the equation of the line 𝑙 ?
A. 𝑥 = 3
B. 𝑦 = 3
D. 𝑦 = 𝑥 + 3
C. 𝑥 + 𝑦 = 3
E. none of these
What is the equation of line 𝑚 ?
A. 𝑥 = 2
B. 𝑦 = 2
D. 𝑦 = 𝑥 + 2
C. 𝑥 + 𝑦 = 2
E. none of these
16. A line passes through (-3, 6) and (9, -2).
If the line is extended, where will it cross
the 𝑥- and 𝑦-axes?
It will cross the 𝑥-axis at ________
It will cross the 𝑦-axis at ________
Page 3 of 10
INTENSIFIED ALGEBRA Semester 1 review
17. Jason is planning a field trip to USF
for an AVID trip. A bus rental costs
$1000 plus $1.20 per mile for gas.
Which function represents the total
cost of the trip 𝐶 for 𝑚 miles?
20. What are the next 3 terms in the sequence
-3, 2, 7, ______,______,______.
21. Match the graph description to the story.
A. C = 1000m + 1.20
A. A horizontal line close to the x-axis.
B. C = 1000 + 1.20m
B. A very steep line that starts high on the
y-axis and falls from left to right.
C. C = (1000 +1.2)m
D. C = 1.20(1000)m
C. A very steep line that starts low on the
y-axis and rises from left to right.
D. A line that is almost horizontal but
climbs slowly from left to right.
18.
figure 1
E. A line that is almost horizontal but
falls slowly from left to right.
figure 2
figure 3
How many small squares will figure 40
have?
19.
___ Terrance the Turtle is placed 6 feet
from the sensor and walks with turtle
speed toward it.
figure 1
___ The teacher briskly walks away from
the sensor. She is really moving!
figure 2
___Terrance the Turtle moves away from
the sensor, at turtle speed.
figure 3
How many circles will be in figure 20?
Fall 2015
___ Jane stands close to the motion
sensor and just stands there. Is she
asleep?
___ Marvin thinks the sensor is going to
fall and runs toward it, trying to save
it. Marvin is a good guy.
Page 4 of 10
INTENSIFIED ALGEBRA Semester 1 review
23. Jakob sells newspapers every weekend.
The table below gives the amount he
collected and how many papers he sells.
22.
Pablo stacks
cartons at his
job after school.
He noticed that
there is a
relationship
between the
number of
cartons in the
bottom
(shaded) row and the number of cartons
in the entire stack. Which table below
shows that relationship?
A.
Bottom row
1
2
3
4
5
Bottom row
B.
1
2
3
4
5
Bottom row
C.
1
2
3
4
5
Fall 2015
Total
Cartons
1
3
6
10
15
Total
Cartons
1
4
7
11
16
Total
Cartons
1
1
4
6
8
# of
Newspapers
1
2
3
4
5
Amount
collected
$0.75
$1.50
$2.25
$3.00
$3.75
What is the rate of change for the
data in the table?
A. $3.75 newspapers per dollar
B. $1.50 newspapers per dollar
C. $0.75 per newspaper
D. $1.75 per newspaper
24. In the year 2000, Samuel paid $40 for
his phone. In 2004, Samuel paid $100 for
his phone. Outrageous! Sam intends to
buy a new phone in 2014. If the phones
he buys increase at the same rate, then
what is the cost we can expect that
Samuel will pay for his new phone?
A. $210
B. $250
C. $300
D. $400
25. What is the rate of change between the
points on the graph?
A. 2 B. −2
C. 1
2
D. −
1
2
Page 5 of 10
INTENSIFIED ALGEBRA Semester 1 review
26. Draw three points on the grid above so
that the rate of change of the points is zero.
29. Give the letter of the table below that
matches each description.
______
A person walking toward a
motion sensor at a constant rate.
______
A person standing still in front of
a motion sensor.
______
A person walking away from a
motion sensor.
Table A.
27. Draw three points on the grid above so
that the rate of change of the points is
undefined.
Time in
seconds
1
2
3
4
5
Distance
in ft
1
1
1
1
1
Time in
seconds
1
2
3
4
5
Distance
in ft
2
5
8
11
14
Time in
seconds
1
2
3
4
5
Distance
in ft
20
17
14
11
8
Table B.
28. The graph of y = 4 x + 1 is changed so
that the 1 is replaced by a 3. What
would happen to the graph?
A. It would become steeper.
B. The graph would translate 2 units to
the right.
C. The graph would translate 2 units up.
D. The graph would become less steep.
Fall 2015
Table C.
Page 6 of 10
INTENSIFIED ALGEBRA Semester 1 review
33. Which equation represents a line that is
perpendicular to y = 3x − 2 ?
Distance from home (miles)
30.
Sam
A. y = −3+x 2
Ralph
Minutes
Sam and Ralph each started 1 mile from
home and rode their bikes to a store 7 miles
from home. (They are brothers so they have
the same home.) Label each statement as
true or false.
T or F.
T or F.
T or F.
T or F.
Sam rode his bike faster.
Sam rode his bike for a longer
time.
Ralph rode a longer distance.
Ralph took a longer time to get
to the store.
31. Which is an equation of the line with
slope 4 and which passes through the
point (5, 6)?
A. 𝑦 = 4𝑥 + 11
B. 𝑦 = 4𝑥 − 14
B. y =
1
x +1
3
1
C. y = − + x 5 D. y = 3x − 2
3
34. Ralph found that his monthly grocery
bill varied directly as the number of
boxes of Twinkies he bought. Ralph
is quite fond of Twinkies. When Ralph
bought 4 boxes of Twinkies, his grocery
bill was $30. How many boxes of
Twinkies could Ralph buy if he had $45
for his groceries?
A. 30
B. 20
C. 14
D. 6
35. Jack wants to do a fundraiser at school.
He figures that he can sell tote bags for
$10 each and get his supplies to make
them at the Dollar Store. He will pay a
total of $100 for supplies.
A. Which function shows how much
Jack will make for the totes if he sells
T totes?
A. y = 100 + 10T
B. y = 10T −100
C. y = 10T
D. y =
100
10T
C. 𝑦 = 4𝑥 − 19 D. 𝑦 = 4𝑥
32. Which equation represents a line parallel
to y = 3x − 21 ?
A. y = −3+x 2
1
B. y = x + 1
3
1
C. y = − + x 5
3
D. y = 3x − 5
Fall 2015
B. Which function shows the profit Jack
will make for his fundraiser if he sells
T totes?
A. y = 100 + 10T
B. y = 10T −100
C. y = 10T
D. y =
100
10T
Page 7 of 10
INTENSIFIED ALGEBRA Semester 1 review
36. What is the 𝑥-intercept of the line with
equation 2 x − 4 y = 8 ?
A. 2
B. 4
39. Ralph looked up a database that told
how many calories he could burn for
C. 6
biking about 12 mph. How many
D. 8
calories would he burn for 30 minutes of
37. What is the slope of the line with points
Time
10
12
14
16
18
shown in the table?
Time
1
2
3
4
6
A. 3
Books sold
20
17
14
11
5
B. −3
C.
17
20
biking at that rate?
D.
1
3
Calories
70
84
98
112
126
40. Which is an equation for the line
graphed?
38. What is the slope of the line shown?
A. 1/2
B. −1/2
C. 2
D. -2
Fall 2015
A. y =
2
x+8
3
2
C. y = − + x 8
3
B. y =
3
x −8
2
3
D. y = − + x 8
2
Page 8 of 10
INTENSIFIED ALGEBRA Semester 1 review
41. Given the equation of a line
y − 1 = 5( x + 6) label each statement
below true or false.
45.
A. Can the table represent a function?
Why or why not?
x
y
____ A. The line has slope 5.
1
3
2
5
3
7
4
7
_____B. The line contains the point (-1, 6).
_____C. The line contains the point (-6, 1)
B. Can the table represent a function?
Why or why not?
_____D. The line contains the point (0, 31)
x
y
_____E. The line has a slope of -1.
42. What is the equation of a line that
passes through the points (−3,5) and
(1, −7)?
A. y = −4 x − 3
B. y = −3x − 4
C. y = 3 x + 14
D. y = 4 x − 7
43. Which relation is a function?
1
4
2
6
2
8
46.
x
y
1
3
2
5
5
7
List the domain of the function above.
{__________________________}
List the range of the function above.
{__________________________}
A. { ( 6, 3 ), ( 2, 4), ( 6, 6), ( 3, 7) }
B. { ( 1, 3 ), ( 2, 6), ( 3, 6), ( 3, 7) }
47. Solve for 𝑥: 15𝑥 – 10 = 20
C. { ( 4, 3 ), ( 2, 4), ( 6, 6), ( 4, 7) }
D. { ( 6, 3 ), ( 2, 4), ( 4, 5), ( 3, 7) }
44. Smedley the dog got 5 fleas when he
went outside 1 time. He got 29 fleas
when he went out 7 times. He got 37
fleas when he went out 9 times.
Which function could be used to predict
how many fleas Smedley would have if
he went outside 𝑛 times?
A. 𝑛 + 4
C. 4𝑛 + 1
Fall 2015
B. 5𝑛 + 29
D. 3𝑛 − 1
3
10
48. Solve for 𝑥: 12𝑥 + 6𝑥 – 14 = 22
49. What is the slope of the line with the
equation 6𝑥 + 5𝑦 = 15?
50. Solve the equation:
5(𝑑 – 6) + 7 = 3(𝑑 + 5)
51. Solve for 𝑥:
10 + 3(𝑥 + 5) + 5(2𝑥 – 3) = 10
Page 9 of 10
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10
INTENSIFIED ALGEBRA Semester 1 review
Cost in Dollars
52. Teacher Sally had to go to the copy
store because the school copier was
broken.
Number of Worksheets
Which is a function that could predict the
cost in dollars C of copying n worksheets?
A. C (n) = 2n + 8
B. C (n) = 0.10n + 2
C. C (n) = 0.5n + 2
D. C (n) = 0.125n + 2
Fall 2015
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