ALGEBRA 1 EOC PRATICE TEST 2012: ANSWER KEY
1) The matrix shows the average SAT Scores of students over a
three-year period.
Carter High School
What was the change in average SAT scores of the twelfth
graders from 1998 to 2000?
1253 – 1028 = 225 points
Average SAT Scores
1998 1999 2000
 976 1035 1100
1028 1164 1253


Grade 11
Grade 12
A. Scores increased by 225 points.
C. Scores decreased by 225 points.
B. Scored increased by 89 points.
D. Scored decreased by 89 points.
2) Walter, Emily, and Ryan are swimmers. Walter swam 12 freestyle laps of the swimming pool and 30
backstroke laps, Emily swam 20 freestyle laps of the swimming pool and 20 backstroke laps, and Ryan
swam 18 freestyle laps of the swimming pool and 20 backstroke laps. Which of the following matrices could
represent this information?
A.
12 30 20
20 18 20


B.
12 20 18 
30 20 20


3) There are 24 yards of rope with which to enclose
a rectangular area. If w is the width of the
rectangle, what is the area function of the roped off
rectangle?
24 = 2l + 2w
12 = w + l
A. A = w2 + 12w
12 – w = l
2
B. A = -12w
A = l*w
A = (12 – w)*w
C. A = - w2 + 12w
A = 12w – w2
D. A = - w2 - 12w
C.
12 18 30
20 20 20


D.
4) In planning a summer trip for his family, Jill’s
dad made up a mileage and cost table.
Mileage
50 miles
150 miles
175 miles
Cost
$67.45
$102.45
$112.20
If the relationship between mileage and cost is
linear, what equation would apply?
A. C = 50m + 50
B. C = 0.35m + 49.95
5) Given the points P(7,5), Q(8,3), R (0, -1), and
S (-1, 1), which statement is true?
mPQ = (5 – 3)/(7 – 8)
= -2
B. PQ is perpendicular to RS mRS = (-1 – 1)/(0 – -1)
C. PR is perpendicular to QS. = -2
mPR = (-1 – 5)/(0 – 7)
D. PR is parallel to QS
= 6/7
mQS = (1 - 3)/(-1 – 8)
= -2/9
A. PQ is parallel to RS.
18 20 12 
30 20 20


C. C = 0.35m – 50
D. C = 0.50m + 49.95
#1: Line of Best Fit
L1 = Mileage (x)
L2 = Cost (y)
#2: y = mx + b
Slope
(102.45 – 67.45)
(150 – 50)
m = 0.35
y-intercept
y = mx + b
67.45 = 0.35(50) + b
49.95 = b
6) The table below shows the number of doctors from 1960 to 1986.
Year
1960
1967
1970
1975
1982
1985
1986
(x)
Number of
2937
3511
3754
4173
4741
5019
5102
Doctors (y)
If a linear regression model is fit to this data, which equation would best represent the data? (let x = number
of years after 1960)
A. y = 1.01x – 3,500
B. y = 82x + 2937
C. y = 83x + 2,929
D. y = 83x + 2,944
#1: Line of Best Fit
L1 = year (x)
L2 = Number of doctors (y)
7) The height of an object dropped from a hot-air
balloon can be determined by the formula h = 16t2 + s, where h is the height of the object in feet, t
is the elapsed time in seconds, and s is the height of
the balloon.
9) The cost of a large pizza is given by the formula
C(t) = 1.5t + 7.50, where C(t) is the cost of the
pizza and t is the number of toppings. What does
the slope represent?
A. number of toppings
B. cost per slice
If the balloon is 400 feet from the ground, how
long will it take for an object dropped from the
balloon to hit the ground?
A. 2.5 seconds
C. 7.5 seconds
B. 5 seconds
D. 10 seconds
s = 400;
H = -16 t2 + 400
Want Height = 0; 0 = -16t2 + 400
8) A rectangular pen has a length 3 feet greater
than its width. If both dimensions are increased by
5 feet, which expression gives the resulting
increase in area? l = 3 +w
A. 10x + 40
Original = w(3 + w) = 3w + w2
B. 13x + 40
C. x2 + 13x + 40
D. x2 + 10x + 40
New = (w + 5)(w + 8)
= w2 + 13w + 40
Increase = (New) – (Original)
Increase = 10w + 40
C. cost of each topping
D. cost of the pizza with no toppings
Slope = 1.5
10) Henry opened a savings account by depositing
$150. He also signed an automatic draft
agreement to have $125 deposited directly from
his pay check each month. If x is the number of
months that have passed since Henry opened the
account, which of the following shows how much
Henry has deposited into his savings account?
A. f(x) = 150 + 125x Slope = 125 each month
B. f(x) = 150x + 125 y-intercept = 150
C. f(x) = (150 + 125) x
D. f(x) = 150 + 125(12x)
11) A store received $823 from the sale of 5 tape recorders and 7 radios. If the receipts from the tape
recorders exceeded the receipts from the radios by $137, what is the cost of a tape recorder?
A. $49
B. $68
C. $84
D. $96
5TR  7 R  823
5 7 823 1 0 96
RREF 


5TR  7 R  137
5  7 137  0 1 49
Average Surface Temperature (0C)
12) The following graph shows the distance from the sun each planet in the solar system, as measured in
astronomical units. Also recorded are the average surface temperatures of each planet, measured in
degrees Celsius.
500
400
300
200
100
0
10
5
15
20
25
30
40
35
- 100
- 200
- 300
Distance from Sun (au)
Which of the following best describes the relationship between the distance and average temperature?
A. linear
B. quadratic
C. absolute value
D. exponential
13) Which of the following situations describes a linear relationship?
A. Jeri invested $2000 in a savings account that earns 6% interest compounded quarterly.
B. The population of a town decreased from 12,000 to 11,000 in one year and is expected to decrease by
3.5$ each year for the next ten years.
C. A ball bounces to one-half its previous height on each bounce.
D. The pathway from the entrance of a cave to the bottom descends at a 5%-grade.
14) Nagel’s Bagel Shop makes a monthly report to summarize the cost of a single bagel each type and the
price at which is sold: Matrix C represents cost, and matrix P represents selling price.
Plain Blueberry Wheat Onion
C
 0.12
0.17
0.13
0.15

Plain Blueberry Wheat Onion
P
 0.45
0.50
0.50
0.50

Which matrix represents the profit on a single bagel of each type?
(Profit = Selling Price – Cost)
Plain Blueberry Wheat
A.
 0.57
0.67
Onion
0.63
0.65
Plain Blueberry Wheat
B.
 0.33

P  C  0.45
0.33
0.50
0.35
Plain Blueberry Wheat

 0.33
C.
Onion
0.37
0.50
 0.33
0.33
0.33
Plain Blueberry Wheat

 0.33
D.
 
0.50  0.12
0.33
0.17
0.37
0.33
0.13
0.35
0.37
0.15


Onion
0.33

Onion
0.35

15) Which of the following equations describes the data in the table below?
X (% reduction (or increase) in dietary fat)
-6
-4
-2
Y (weight loss (or gain) in pounds)
-15
-11
-7
A. 2x + y = -27
B. x – y = 3
C. x + y = -21
D. 2x – y = 3
#1: Line of Best Fit
L1 = (x)
L2 = (y)
1
-1
5
7
#2: Standard Form AX + BY = C
Y = 2x – 3
-2X + Y = -3
2x – y = 3
16) To find the image of length L of a 4-foot tall object in a spherical mirror with a focal length of 2 feet,
2
 2 
L  4
 can be used, where o is the distance, in feet, of the object from the mirror. What is the
o2
image length of the object when it is l.5 feet away from the mirror?
A. 256 feet
B. 128 feet
C. 64 feet
 2 
L  4

1
.
5

2


D. 32 feet
2
17) Denisha bought a car for $15,000. The value depreciates linearly. After 3 years the value is $11,250.
What is the amount of yearly depreciation?
11250  15000  3750
A. $2,000
B. $1,500
C. $1,250
D. $750

3
 1250
18) In the equation 3x + y = 12, if an x-value is increased by 2, what would be the effect on the
corresponding y-value?
A. value of y will be 3 times as large.
C. value of y will increase by 6.
B. value of y will decrease to be ½ as large.
D. value of y will decrease by 6.
3x + y = 12
3(x + 2) + y __ = 12
3x + 6 + y ___ = 12
3x + 6 + y + -6 = 12
19) Which of the following is an x-intercept of y = -8x2 – 10x + 3?
A. 3
B. 1/4
C. 2/3
y = -8x2 – 10x + 3
x-intercept: y = 0
0 = -8x2 – 10x + 3
x = ¼ or -3/2
 2 x  y  1
20) Solve:
2x  5 y  7
A. (1, 1)
D. 3/2
#2: Elimination
 2 x  y  1
2x  5 y  7
#1:
 2 1  1 1 0 1
RREF 


 2 5 7  0 1 1
B. (- 1, 1)
C. (1, - 1)
0x + 6y = 6
Y=1
-2x + 1 = -1
X=1
D. (-1, -1)
3