Free Printable Pre-Calculus HN Semester 1 Exam Version B

1.

Use the Law of Sines to solve for BC

a)

33

b)

24

c)

12

d)

29

2.

Use Law of Cosines to find XZ.

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

3.

4. The sides of a triangle are 3 cm, 5 cm and 6 cm. What is its area?

a)

$2\sqrt{3}cm^2$

b)

$2\sqrt[]{12}cm^2$

c)

$5\sqrt{12}cm^2$

d)

$2\sqrt{5}cm^2$

4.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

5.

What are the vertices of the hyperbola?

a)

(0, 5) and (0, -5)

b)

(5, 0) and (-5, 0)

c)

(0, 25) and (-25, 0)

d)

(0, 0) and (0, 5)

6.

What is the center of the ellipse?

a)

(0, 0)

b)

(1, 5)

c)

(1, 0)

d)

(0, 1)

7.

Center ?

a)

(-3 , 2)

b)

(2 , -3)

c)

(12 , 5)

d)

(5 , 12)

8.

What direction does the parabola open? Careful to put in proper form!
(y-9)²= -40(x+4)

a)

Up

b)

Down

c)

Left

d)

Right

9.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

10.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

11.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

12.

Find the measure of the indicated angle.

a)

$6^{\circ}$

b)

$20^{\circ}$

c)

$43^{\circ}$

d)

$47^{\circ}$

13.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

14.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

15.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

16.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

17.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

18.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

19.

tanθ 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.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

21.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

22.

135° is equal to how many radians?

a)

π

b)

π/3

c)

3π/4

d)

3π/2

23.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

24.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(x\right)\right)$

a)

$4x^2-1$

b)

$4x^2-2$

c)

$8x^2-1$

d)

$16x^2-1$

25.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(x\right)\right)$

a)

$4x^2-1$

b)

$4x^2-2$

c)

$8x^2-1$

d)

$16x^2-1$

26.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

27.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

28.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

29.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

30.

Given g(x) = $-\sqrt{x}\ +\ 5$ ,

what is g(x + h) ?

a)

$-\sqrt{x+h}\ +\ 5$

b)

$\sqrt{x\ -h}\ +\ 5$

c)

$-\sqrt{x}\ -\ \sqrt{h}\ +\ 5$

d)

all of these

31.

$t\left(x\right)=\frac{x+3}{x+1}$
Evaluate $t\left(-1\right)$

a)

0

b)

3

c)

$\phi$

d)

undefined

32.

Find the average rate of change of $f\left(x\right)=-2x^2+4x+6$ from [-3, -1].

a)

10

b)

12

c)

14

d)

16

33.

If $f\left(x\right)=x^2$ find $\frac{f\left(3+h\right)-f\left(3\right)}{h}$ .

a)

$h$

b)

$6+h$

c)

$18+h$

d)

$6+3h$

34.

sin(35π/4)

a)

1/2

b)

-√2/2

c)

√2/2

d)

-1/2

35.

cot 4π/3

a)

√3/3

b)

√3/2

c)

-√3/2

d)

-1/2

Pre-Calculus HN Semester 1 Exam Version B

Total questions: 35

Worksheet time: 9hrs 45mins

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