Question 1

For the given rectangular equation, write an equivalent polar equation.
-y = 5

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Determine the number of triangles with the given parts.
-

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 3

For the given polar equation, write an equivalent rectangular equation.
-

Accepted Answer

A)  x = 10y 
B)  y = 10x 
C)  x = 10 
D)  y = 10 
A)  x = 10y 
B)  y = 10x 
C)  x = 10 
D)  y = 10

Question 4

Find all specified roots.
-Square roots of

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Approximate the area of the triangle to the nearest tenth.
-a = 8.5, b = 16.2, c = 15.4

Accepted Answer

A)  73.4 
B)  70.4 
C)  67.4 
D)  64.4 
A)  73.4 
B)  70.4 
C)  67.4 
D)  64.4

Question 6

Solve the problem.
-A projectile is fired with an initial velocity of 550 feet per second at an angle of 70° with the horizontal. To the nearest 10 feet, find the horizontal distance covered by the projectile. The parametric equations for the path of
The projectile are

Accepted Answer

A)  5940 feet 
B)  6080 feet 
C)  6320 feet 
D)  6190 feet 
A)  5940 feet 
B)  6080 feet 
C)  6320 feet 
D)  6190 feet

Question 7

Find the absolute value of the complex number.
-8 - 7i

Accepted Answer

A)  113 
B)    
C)    
D)  15 
A)  113 
B)    
C)    
D)  15

Question 8

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in [0,360°].
--20, 0

Accepted Answer

A)  400; 180° 
B)  20; 270° 
C)  20; 180° 
D)  20; 90° 
A)  400; 180° 
B)  20; 270° 
C)  20; 180° 
D)  20; 90°

Question 9

Graph the pair of parametric equations with the aid of a graphing calculator.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.
-

Accepted Answer

A)    
B)  -128 + 128i 
C)  -64 + 64i 
D)    
A)    
B)  -128 + 128i 
C)  -64 + 64i 
D)

Question 11

Graph the point.
-(2, 45°)

Accepted Answer

A)    
B)    
A)    
B)

Question 12

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in [0,360°].
-

Accepted Answer

A)  28; 30° 
B)  14; 30° 
C)  14; 150° 
D)    
A)  28; 30° 
B)  14; 30° 
C)  14; 150° 
D)

Question 13

Find the area of the region.
-Round to the nearest square foot.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Find the absolute value of the complex number.
--3i

Accepted Answer

A)  -3 
B)  9 
C)  3i 
D)  3 
A)  -3 
B)  9 
C)  3i 
D)  3

Question 15

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the
same direction or in opposite directions.
-a = 4, -3 , b = -16, 12

Accepted Answer

A)  Perpendicular 
B)  Parallel, opposite directions 
C)  Parallel, same direction 
D)  Neither 
A)  Perpendicular 
B)  Parallel, opposite directions 
C)  Parallel, same direction 
D)  Neither

Question 16

Approximate the area of the triangle to the nearest tenth.
-a = 150, b = 164, c = 170

Accepted Answer

A)  13,977.4 
B)  11,181.9 
C)  718.8 
D)  16,772.9 
A)  13,977.4 
B)  11,181.9 
C)  718.8 
D)  16,772.9

Question 17

Find all specified roots.
-Cube roots of 8i

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Write the complex number in the form a + bi.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Graph the point.
-(3, -150°)

Accepted Answer

A)    
B)    
A)    
B)

Question 20

For the given rectangular equation, write an equivalent polar equation.
-y = x

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

For the given rectangular equation, write an equivalent polar equation. -y = 5

Determine the number of triangles with the given parts. -

For the given polar equation, write an equivalent rectangular equation. -

Find all specified roots. -Square roots of

Approximate the area of the triangle to the nearest tenth. -a = 8.5, b = 16.2, c = 15.4

Solve the problem. -A projectile is fired with an initial velocity of 550 feet per second at an angle of 70° with the horizontal. To the nearest 10 feet, find the horizontal distance covered by the projectile. The parametric equations for the path of The projectile are

Find the absolute value of the complex number. -8 - 7i

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --20, 0

Graph the pair of parametric equations with the aid of a graphing calculator. -

Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. -

Graph the point. -(2, 45°)

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. -

Find the area of the region. -Round to the nearest square foot.

Find the absolute value of the complex number. --3i

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 4, -3 , b = -16, 12

Approximate the area of the triangle to the nearest tenth. -a = 150, b = 164, c = 170

Find all specified roots. -Cube roots of 8i

Write the complex number in the form a + bi. -

Graph the point. -(3, -150°)

For the given rectangular equation, write an equivalent polar equation. -y = x

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Exam 7: Applications of Trigonometry

For the given rectangular equation, write an equivalent polar equation. -y = 5

Determine the number of triangles with the given parts. -

For the given polar equation, write an equivalent rectangular equation. -

Find all specified roots. -Square roots of

Approximate the area of the triangle to the nearest tenth. -a = 8.5, b = 16.2, c = 15.4

Solve the problem. -A projectile is fired with an initial velocity of 550 feet per second at an angle of 70° with the horizontal. To the nearest 10 feet, find the horizontal distance covered by the projectile. The parametric equations for the path of The projectile are

Find the absolute value of the complex number. -8 - 7i

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --20, 0

Graph the pair of parametric equations with the aid of a graphing calculator. -

Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. -

Graph the point. -(2, 45°)

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. -

Find the area of the region. -Round to the nearest square foot.

Find the absolute value of the complex number. --3i

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 4, -3 , b = -16, 12

Approximate the area of the triangle to the nearest tenth. -a = 150, b = 164, c = 170

Find all specified roots. -Cube roots of 8i

Write the complex number in the form a + bi. -

Graph the point. -(3, -150°)

For the given rectangular equation, write an equivalent polar equation. -y = x

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters