CLASS SECTION/SCHEDULE (FRI-AM, FRI-PM, SAT-AM, SAT-PM, SUN-AM, SUN-PM, ONLINE)

1.

The sum of three consecutive integers is −126. What are the integers?

a) -43, -42, -41 b) -42, -41, -40 c) -41, -40, -39 d) -40, -39, -38

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2.

Find three consecutive integers such that the sum of the first, twice the second, and three times the third is −76.

a) -15, -14, -13 b) -14, -13, -12 c) -13, -12, -11 d) -12, -11, -10

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3.

The sum of two consecutive even integers is 106. What are the integers?

a) 52, 54 b) 53, 55 c) 55, 57 d) 57, 59

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4.

The sum of three consecutive odd integers is 189. What is the middle integer?

a) 61 b) 62 c) 63 d) 64

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5.

The sum of three consecutive odd integers is 255. What is the middle integer?

a) 83 b) 85 c) 87 d) 89

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6.

Find the first of three consecutive odd integers such that the sum of the first, two times the second, and three times the third is 70.

a) 7 b) 8 c) 9 d) 10

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7.

A navigator plots the course a plane is currently traveling. The plane is 300 miles from its destination. If it continues on its current course it will travel 325 miles and end up 125 miles due south of its destination. To the nearest degree, how many degrees is the plane off course?

a) 23 deg b) 24 deg c) 25 deg d) 26 deg

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11.

A ferris wheel with a radius of 15 m rotates once every 100 seconds. Riders board the ferris wheel using a platform 1 m above the ground. The trigonometric function that gives the height of the rider A function of time is:

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12.

A boy's coins, consisting of nickels and dimes, amount to 42.15. If the number of dimes exceeds 3 times the number of nickels by 4, find the number of each kind of coin.

a) 4, 18 b) 3, 17 c) 5, 19 d) 1, 15

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13.

A newsboy had 2.65, consisting of nickels, dimes and quarters. If the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one, what was the number of each kind of coin?

a) 4, 5, 6 b) 5, 6,7 c) 6, 7, 8 d) 7, 8, 9

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14.

Find the area between the curve y= 2 the x-axis and the lines x = 1 and x = 3.

a) 23/3 b) 24/3 c) 25/3 d) 26/3

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15.

Find the area between the curve y=(x-1)(x-3), the x-axis and the x = 2 and x = 3.

a) 1/3 b) 2/3 c) 3/3 d) 4/3

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16.

Find the area enclosed by the y=x and y=2 − 2.

a) 1/6 b) 2/6 c) 3/6 d) 4/6

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17.

Determine what kind of Conic the equation is and find its center 4x2−16x+9y2+54y=−61.

a) Circle centered at (2,3) b) Circle centered at (2,-3) c) Ellipse centered at (-2,-3) d) Ellipse centered at (2,-3)

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18.

Determine what kind of Conic the equation is and find its center x2−6x+8y−7=0

a) Parabola with a vertex (3,-2) and opens to the left b) Parabola with a vertex (-3,2) and opens to the right c) Parabola with a vertex (3,2) and opens downward d) Parabola with a vertex (-3,2) and opens upward

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20.

Determine the conic’s center and foci. 144y2 – 25x2 – 576y – 150x = 3249

a) Center at (-3,2) ; Foci at (-3,15) and (-3,11) b) Center at (-3,2) ; Foci at (3,15) and (3,11) c) Center at (-3,2) ; Foci at (-3,15) and (-3,-11) d) Center at (-3,2) ; Foci at (-3,-15) and (-3,11)

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21.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 deg and 45 deg respectively. If the lighthouse is 100 m high. What is the distance between the two ships?

a) 273 m b) 274 m c) 275 m d) 276 m

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22.

The angle of elevation of an aeroplane from a point A on the ground is 60 deg. After a flight of 15 seconds horizontally, the angle of elevation changes to 30 deg. If the aeroplane is flying at a speed of 200 m/s, then find the constant height at which the aeroplane is flying.

a) 2597 m b) 2598 m c) 2599 m d) 2600 m

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29.

A sample of 32 grams of an unknown substance has a half-life of 1,200 years. Approximately how long will it take for 0.1 grams of the substance to remain (to the nearest year)?

a) 7000 b) 8000 c) 9000 d) 10000

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30.

A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. Its height is given by s=−16t2+16. When does the rock hit the ground? At what velocity?

a) 10 s, 160 ft/sec b) 10 s, -160 ft/sec c) 0 s, -160 ft/sec d) 0 s, 160 ft/sec