Free Printable IF.4 & 7(e), TF.1 & 2

1.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

2.

What is 3π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

3.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

4.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

5.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

6.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

7.

is the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

8.

Determine the interval of this function's DOMAIN.

a)

(-5, -1)

b)

(-∞, ∞)

c)

No solution

d)

(-∞, -3)

9.

Identify the increasing interval:

a)

(0, 4)

b)

(1, 0) U (1, 4)

c)

(-1, 1)

d)

(-∞, -1) U (1, ∞)

10.

Identify the decreasing interval:

a)

(0, 4)

b)

(1, 0) U (1, 4)

c)

(-1, 1)

d)

(-∞, -1) U (1, ∞)

11.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

12.

List the types of intervals that the graph demonstrates in order.

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

13.

What are the x-intercepts of the graph?

a)

(2, 0)

b)

(0, -2)

c)

(-1.225, -4.25) and (1.225, -4.25)

d)

(-1.887, 0) and (1.887, 0)

14.

What is the range of the graph?

a)

$\left[9,-\infty\right)$

b)

$\left(-\infty,9\right]$

c)

$(-2,9]$

d)

$\left[-\infty,9\right]$

15.

Using the graph of the quadratic function, identify the y-intercept.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

16.

What are the x-intercepts?

a)

(0,5) (-5, 1)

b)

(-5, 0) (1, 0)

c)

(-2, 9) (-5, 0)

d)

(1, 0) (0, 5)

17.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

18.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

19.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

20.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

21.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

22.

Select all of the degrees that are IN the 4th quadrant.

a)

330

b)

315

c)

270

d)

300

23.

Select all of the coordinates that are NOT in a quadrant.

a)

$\left(-\frac{1}{2},\ \frac{\sqrt{3}}{2}\right)$

b)

$\left(0,1\right)$

c)

$\left(-\frac{\sqrt{2}}{2},\ -\frac{\sqrt{2}}{2}\right)$

d)

$\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$

24.

Coordinates on the unit circle are written as

a)

$\left(\sin,\ \cos\right)$

b)

$\left(\cos,\cos\right)$

c)

$\left(\sin,\sin\right)$

d)

$\left(\cos,\sin\right)$

25.

Why is the unit circle called the unit circle?

4 lines

26.

What is π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

27.

What is 7π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

28.

What is 5π/3 radians in degrees?

a)

30

b)

330

c)

360

d)

300

29.

What is 7π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

30.

What is 5π/6 radians in degrees?

a)

315

b)

135

c)

150

d)

330

31.

What is 210 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

32.

What is 30 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

33.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

34.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

35.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

36.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

37.

What is the value of cosine at 0

a)

0

b)

1/2

c)

1

d)

√3 / 2

38.

What is the value of sine at 30

a)

1/2

b)

√3 / 2

c)

0

d)

√2 ⁄ 2

39.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

40.

What is the value of cosine at 135

a)

0

b)

1/2

c)

√2 /2

d)

-√2 /2

41.

What is the value of sine at 210?

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

42.

What is the value of cosine at 270

a)

0

b)

1

c)

-1

43.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

44.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

45.

What is the value of sine at 330

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

46.

What is the value of cosine at 315

a)

0

b)

1

c)

√2 / 2

d)

-√2 /2

47.

What is the value of sine at 150

a)

0

b)

1/2

c)

1

d)

√3 / 2

48.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

49.

If I wanted to find the sine of an angle, what side lengths would I need to know?

a)

base, hypotenuse

b)

hypotenuse, adjacent

c)

opposite, hypotenuse

d)

adjacent, opposite

50.

The cosine of an angle can be calculated by which expression?

a)

$\frac{hypotenuse}{adjacent}$

b)

$\frac{opposite}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{adjacent}{opposite}$

51.

Over what interval is this function constant?

a)

(−5, ∞)

b)

(−3, 4)

c)

(4,∞)

d)

(−5)

52.

True or False:

The x-intercept of a function ALWAYS has a zero as the y-coordinate.

a)

TRUE

b)

FALSE

53.

Which ordered pair could represent a y-intercept?

a)

(-1, 0)

b)

(2, 4)

c)

(0,4)

d)

(-2, 4)

54.

What is the range of the graph?

a)

y ≥ -1.225

b)

y ≥ -4.25

c)

All Real Numbers ℝ

d)

y ≤ -4.25

55.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

56.

Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

57.

What is the range of this function?

a)

All real numbers.

b)

All real numbers greater than or equal to 0.

c)

All real numbers greater than or equal to -2.

d)

All real numbers greater than or equal to 2.

58.

How long did it take Sam to get to school?

a)

5 minutes

b)

20 minutes

c)

1.25 km

d)

1.25 minutes

59.

How long did Sam sit on the bench and wait for the bus?

a)

5 min

b)

10 min

c)

15 min

d)

20 min

60.

Over which interval of time is this person returning home?

a)

8:00 < x < 9:00

b)

9:00 < x < 9:30

c)

9:30 < x < 11:00

d)

12:00 < x < 13:00

61.

At what time did this Kayak trip begin?

a)

15:00

b)

12:00

c)

0 km

d)

11:00

62.

Which statement is true about this function?

a)

The function is never constant

b)

The function is always increasing

c)

The function is never decreasing

d)

The function increases on the interval 11:00 < x < 15:00

IF.4 & 7(e), TF.1 & 2

Total questions: 62

Worksheet time: 1hrs 3mins

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