Question 1

Add or subtract.
-

Accepted Answer

A)  7 + 7i 
B)  7 - 7i 
C)  -3 + 11i 
D)  -7 + 7i 
A)  7 + 7i 
B)  7 - 7i 
C)  -3 + 11i 
D)  -7 + 7i

Question 2

Multiply. Write the result in the form a + bi.
-3i(7 - 2i)

Accepted Answer

A)    
B)  6 + 21i 
C)    
D)  21i - 6 
A)    
B)  6 + 21i 
C)    
D)  21i - 6

Question 3

Solve the problem.
-Abigail needs to determine the distance at certain points across a lake. Her crew and she are able to measure the distances shown on the diagram below. Find how wide the lake is to the nearest tenth of a meter.

Accepted Answer

A)  50 m 
B)  86.6 m 
C)  7.1 m 
D)  111.8 m 
A)  50 m 
B)  86.6 m 
C)  7.1 m 
D)  111.8 m

Question 4

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

Accepted Answer

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

Question 5

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

Accepted Answer

A)    
B)  -256 
C)  -4 
D)  not a real number 
A)    
B)  -256 
C)  -4 
D)  not a real number

Question 6

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)  243 
B)  81 
C)  -27 
D)  -3 
A)  243 
B)  81 
C)  -27 
D)  -3

Question 7

Solve and check your solution(s). If the equation has no real solution, so state.
-

Accepted Answer

A)  0 
B)  1 
C)  -2 
D)  no real solution 
A)  0 
B)  1 
C)  -2 
D)  no real solution

Question 8

Solve and check your solution(s). If the equation has no real solution, so state.
-(

Accepted Answer

A)    
B)  4 
C)  20 
D)    
A)    
B)  4 
C)  20 
D)

Question 9

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-

Accepted Answer

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

Question 10

Simplify the radical expression. Write the answer in radical form when appropriate.
-

Accepted Answer

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

Question 11

Find the perimeter of the figure in radical form with the radicals simplified.
-

Accepted Answer

A)    
B)    
C)    
D)  120 
A)    
B)    
C)    
D)  120

Question 12

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)    
B)  2 
C)  1 
D)  not a real number 
A)    
B)  2 
C)  1 
D)  not a real number

Question 13

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

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

Question 14

Solve the problem.
-The formula for the period of a pendulum on the moon is   where T is the period in seconds, and ȴ is its length in feet. Find the period of a pendulum whose length is 10 feet. (Round to the nearest hundredth.)

Accepted Answer

A)  2.72 sec 
B)  8.60 sec 
C)  4.97 sec 
D)  2.74 sec 
A)  2.72 sec 
B)  8.60 sec 
C)  4.97 sec 
D)  2.74 sec

Question 15

Write as an absolute value.
-

Accepted Answer

A)  |x + 5| 
B)  x + 5 
C)    
D)    
A)  |x + 5| 
B)  x + 5 
C)    
D)

Question 16

Evaluate if possible. If the expression is not a real number, so state.
-

Accepted Answer

A)  5 
B)  20 
C)  3125 
D)  100 
A)  5 
B)  20 
C)  3125 
D)  100

Question 17

Simplify.
-

Accepted Answer

A)  10 
B)  -4 
C)    
D)    
A)  10 
B)  -4 
C)    
D)

Question 18

Use absolute value to evaluate.
-

Accepted Answer

A)    
B)    
C)    
D)  not a real number 
A)    
B)    
C)    
D)  not a real number

Question 19

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 20

Find the area of the figure in radical form with the radicals simplified.
-

Accepted Answer

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

Add or subtract. -

Multiply. Write the result in the form a + bi. -3i(7 - 2i)

Solve the problem. -Abigail needs to determine the distance at certain points across a lake. Her crew and she are able to measure the distances shown on the diagram below. Find how wide the lake is to the nearest tenth of a meter.

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

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Evaluate if possible. If the expression is not a real number, so state. -

Solve and check your solution(s). If the equation has no real solution, so state. -

Solve and check your solution(s). If the equation has no real solution, so state. -(

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Simplify the radical expression. Write the answer in radical form when appropriate. -

Find the perimeter of the figure in radical form with the radicals simplified. -

Evaluate if possible. If the expression is not a real number, so state. -

Evaluate if possible. If the expression is not a real number, so state. -

Solve the problem. -The formula for the period of a pendulum on the moon is where T is the period in seconds, and ȴ is its length in feet. Find the period of a pendulum whose length is 10 feet. (Round to the nearest hundredth.)

Write as an absolute value. -

Evaluate if possible. If the expression is not a real number, so state. -

Simplify. -

Use absolute value to evaluate. -

Simplify. Assume all variables represent positive real numbers. -

Find the area of the figure in radical form with the radicals simplified. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 11: Roots, Radicals, and Complex Numbers

Add or subtract. -

Multiply. Write the result in the form a + bi. -3i(7 - 2i)

Solve the problem. -Abigail needs to determine the distance at certain points across a lake. Her crew and she are able to measure the distances shown on the diagram below. Find how wide the lake is to the nearest tenth of a meter.

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

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Evaluate if possible. If the expression is not a real number, so state. -

Solve and check your solution(s). If the equation has no real solution, so state. -

Solve and check your solution(s). If the equation has no real solution, so state. -(

Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest hundredth. If the expression is not a real number, so state. -

Simplify the radical expression. Write the answer in radical form when appropriate. -

Find the perimeter of the figure in radical form with the radicals simplified. -

Evaluate if possible. If the expression is not a real number, so state. -

Evaluate if possible. If the expression is not a real number, so state. -

Solve the problem. -The formula for the period of a pendulum on the moon is where T is the period in seconds, and ȴ is its length in feet. Find the period of a pendulum whose length is 10 feet. (Round to the nearest hundredth.)

Write as an absolute value. -

Evaluate if possible. If the expression is not a real number, so state. -

Simplify. -

Use absolute value to evaluate. -

Simplify. Assume all variables represent positive real numbers. -

Find the area of the figure in radical form with the radicals simplified. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters