review sheet for regents test 4

Teacher: Mrs. Polan

Name: ____________________________________

1.

Find, to the nearest degree, all values of θ in the interval 0° ≤ θ ≤ 180° that satisfy the equation 8 cos2

θ – 2 cos θ – 1 = 0. Express your answers in increasing order.

Answer: °, °

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2.

The graph below represents the function y = f(x).

State the domain and range of this function in interval notation.

1. D = (–5, 8], R = [–3, 2)2. D = [–5, 8], R = (–3, 2)3. D = (–5, 8), R = (–3, 2)4. D = [–5, 8], R = [–3, 2]

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of 9review castlelearning 4

5/29/2013http://www.castlelearning.com/review/teacher/AssignmentPrinting.aspx

3.

Find the 19th term of the following sequence: −20, −17, −14, …

Answer: a19 =

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4.

What is the solution of the equation 2 log4 (5x) = 3?

1. 6.42. 2.56

3.

4.

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5.

Which is the fourth term in the expansion of (cos x + 3)5?

1. 90 cos2x2. 270 cos2x3. 90 cos3x4. 270 cos3x

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6.

Which relation is a function?

1. xy = 7 2. x = 7 3. x2 - y2 = 7 4. x2 + y2 = 7

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7.

Which set of ordered pairs is not a function?

1. {(3,1), (2,1), (1,2), (3,2)} 2. {(4,1), (5,1), (6,1), (7,1)} 3. {(1,2), (3,4), (4,5), (5,6)} 4. {(0,0), (1,1), (2,2), (3,3)}

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8.

Find, to the nearest minute, the angle whose measure is 3.45 radians.

1.197°40’ 3.197°40’ 14''2. 197.67° 4.0° 3'

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9.

What are the zeros of the polynomial p(x) = x3 – 8x2 + 4x + 48?

1.–6, –4, 2 3.–16, 1, 32.–2, 4, 6 4.–8, 1.5, 4

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10.

What is the radius of the circle whose equation is x2 + y2 + 18x + 12y + 36 = 0?

1. 92. 33. 814. 153

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11.

When factored completely, x3 + 3x2 – 4x – 12 equals

1. (x + 2)(x – 2)(x – 3)2. (x + 2)(x – 2)(x + 3)3. (x2 – 4)(x + 3)4. (x2 – 4)(x – 3)

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12.

In simplest form, is equal to

1.

2.

3. x – y4. y – x

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13.

In ΔABC, a = 8, b = 7, and m∠C = 30. What is the area of ΔABC?

1. 142. 283. 144. 14

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14.

Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

1.

2.

3.

4.

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15.

The solution set of |x – 3| > 5 is

1. {x < 8 and x < –2}2. {x < 8 or x < –2}3. {x < 8 and x > –2}4. {x > 8 or x < –2}

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16.

What is the solution of the inequality |x + 3| ≤ 5?

1. –8 ≤ x ≤ 22. –2 ≤ x ≤ 83. x ≤ –8 or x ≥ 24. x ≤ –2 or x ≥ 8

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17.

What is the smallest positive value of θ which satisfies the equation 2 cos2 θ – cos θ = 0?

1.30° 3.90°2.60° 4.270°

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18.

What is the solution set of the inequality x2 – 3x – 10 > 0?

1. {x | –2 < x < 5}2. {x | –5 < x < 2}3. {x | x < –5 or x > 2}4. {x | x < –2 or x > 5}

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19. In physics class, Eva noticed the pattern shown in the accompanying diagram on an oscilloscope.

1.

2. y = sin x + 13. y = 2 sin x + 1

4.

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20.

Each day the probability of rain on a tropical island is 7/8. Which expression represents the probability that it will rain on the island exactly n days in the next 3 days?

1.

2.

3.

4.

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21.

If f and g are two functions defined by f(x) = 3x + 5 and g(x) = x2 + 1, then g(f(x)) is

1. x2 + 3x + 6 2. 9x2 + 30x + 26 3. 3x2 + 8 4. 9x2 + 26

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22.

According to Boyle’s Law, the pressure, p, of a compressed gas is inversely proportional to the volume, v. If a pressure of 20 pounds per square inch exists when the volume of the gas is 500 cubic inches, what is the pressure when the gas is compressed to 400 cubic inches?

1.16 lb/in2 3.40 lb/in2

2.25 lb/in2 4.50 lb/in2

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23.

A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The angle between the signals sent to the ship by the transmitters is 117.4°. Find the distance between the two transmitters, to the nearest mile.

Answer: miles

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24.

Expressed in a + bi form, is equivalent to

1. – i

2. – 5i

3. – i

4. 15 – 5i--------------



25.

An angle that measures 5π/6 radians is drawn in standard position. In which quadrant does the terminal side lie?

1. I 3. III2. II 4. IV

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26.

What is the fourth term in the expansion of (x – 2y)5?

1. 80x2y3

2. 80xy4

3. –80x2y3

4. –80xy4

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27.

Rewrite the expression using radicals and integer exponents.

1.

2.

3.

4.

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28.

Rewrite the expression using radicals.

1.

2.

3.4. x

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29.

Rewrite the radical expression using exponents. Do not leave the answer in terms of a

fraction. Use negative exponents when needed.

1.2.3.4.

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review sheet for regents test 4

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