Free Printable Pre-Calculus 2nd Semester Exam

1.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

2.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

3.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

4.

What size is this matrix?

a)

2x2

b)

2x3

c)

3x2

d)

1x6

5.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

6.

Which option below correctly shows the steps to find the inverse of this matrix?

a)

b)

c)

d)

No Inverse Exists

7.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

8.

Find the product.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

9.

4) Solve the system of linear equations.

a)

(1, -3, -4)

b)

(-1, 3, -4)

c)

no solution

d)

infinitely many solutions

10.

Solve the system.

a)

(5, -6, 3)

b)

(2, 3, -1)

c)

(-4, 2, 5)

d)

No Solution

11.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

12.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

13.

a)

$25\degree$

b)

$26\degree$

c)

$23\degree$

d)

$22\degree$

14.

Find the measure of side length "c" (the longest side).

NOTE: this is a two step problem.

a)

18

b)

29

c)

25

d)

24

15.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

16.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

17.

What is 270 degrees in radians?

a)

π/4

b)

3π/2

c)

3π/4

d)

π/2

18.

How many radians does a circle have?

a)

360 degrees

b)

$2\pi$ radians

c)

$\pi$ radians

d)

^{2 radians}

19.

Which ordered pair will satisfy the given system of linear equations in two variables?

3x + 2y = 16

7x + y = 19

a)

(-2, 5)

b)

(-2, -5)

c)

(2, -5)

d)

(2, 5)

20.

Which ordered pair will satisfy the given system of linear equations in two variables?

-x + y = -13

-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

21.

Which ordered pair will satisfy the given system of linear equations in two variables?

y = 4x+1

3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

22.

$m\angle G=$

a)

$74.3\degree$

b)

$76.1\degree$

c)

$76.9\degree$

d)

$77.5\degree$

23.

Using Heron's Formula, find the Area.

a)

8 mi²

b)

24 mi²

c)

21.1 mi²

d)

64.2 mi²

24.

Using Heron's Formula, find the Area.

a)

38.5 in²

b)

17.5 in²

c)

27.5 in²

d)

13 in²

25.

Using Heron's Formula, find the Area.

a)

55.1 km²

b)

60 km²

c)

61 km²

d)

73.2 km²

Pre-Calculus 2nd Semester Exam

Total questions: 25

Worksheet time: 1hrs 15mins

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