ALGEBRA 1 EOC PRATICE TEST 2012: ANSWER KEY
1) The matrix shows the average SAT Scores of students over a three-year period.
What was the change in average SAT scores of the twelfth graders from 1998 to 2000?
1253 – 1028 = 225 points
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.B.C.D.
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?
A. A = w2 + 12w
B. A = -12w2
C. A = - w2 + 12w
D. A = - w2 - 12w
5) Given the points P(7,5), Q(8,3), R (0, -1), and
S (-1, 1), which statement is true?
A. PQ is parallel to RS.
B. PQ is perpendicular to RS
C. PR is perpendicular to QS.
D. PR is parallel to QS
4) In planning a summer trip for his family, Jill’s dad made up a mileage and cost table.
Mileage / Cost50 miles / $67.45
150 miles / $102.45
175 miles / $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
C. C = 0.35m – 50
D. C = 0.50m + 49.95
6) The table below shows the number of doctors from 1960 to 1986.
Year(x) / 1960 / 1967 / 1970 / 1975 / 1982 / 1985 / 1986
Number of Doctors (y) / 2937 / 3511 / 3754 / 4173 / 4741 / 5019 / 5102
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 – 3,500B. y = 82x + 2937C. y = 83x + 2,929D. y = 83x + 2,944
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.
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 secondsC. 7.5 seconds
B. 5 secondsD. 10 seconds
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?
A. 10x + 40
B. 13x + 40
C. x2 + 13x + 40
D. x2 + 10x + 40
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
C. cost of each topping
D. cost of the pizza with no toppings
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
B. f(x) = 150x + 125
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. $49B. $68C. $84D. $96
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.
Which of the following best describes the relationship between the distance and average temperature?
A. linearB. quadraticC. absolute valueD. 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.
Which matrix represents the profit on a single bagel of each type?
(Profit = Selling Price – Cost)
A.C.
B.D.
15) Which of the following equations describes the data in the table below?
X (% reduction (or increase) in dietary fat) / -6 / -4 / -2 / 1 / 5Y (weight loss (or gain) in pounds) / -15 / -11 / -7 / -1 / 7
A. 2x + y = -27B. x – y = 3C. x + y = -21D. 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, can be used, where o is the distance, in feet, of the object from the mirror. What is the image length of the object when it is l.5 feet away from the mirror?
A. 256 feetB. 128 feetC. 64 feetD. 32 feet
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?
A. $2,000B. $1,500C. $1,250D. $750
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.
B. value of y will decrease to be ½ as large.
C. value of y will increase by 6.
D. value of y will decrease by 6.
19) Which of the following is an x-intercept of y = -8x2 – 10x + 3?
A. 3B. 1/4C. 2/3D. 3/2
20) Solve:
A. (1, 1)B. (- 1, 1)C. (1, - 1)D. (-1, -1)