Question 1

Solve. You will have to square both sides of the equation twice to eliminate all radicals.
-

Accepted Answer

A)  0, 4 
B)  4 
C)  0, 8 
D)  no real solution 
A)  0, 4 
B)  4 
C)  0, 8 
D)  no real solution

Question 2

Solve the problem.
-Find the length of the hypotenuse of a right triangle whose legs measure 3 feet and 12 feet in length.

Accepted Answer

A)    
B)    
C)    
D)  6 ft 
A)    
B)    
C)    
D)  6 ft

Question 3

Multiply. Write the result in the form a + bi.
-(6 + 9i)(3 + 5i)

Accepted Answer

A)    
B)  63 - 3i 
C)  -27 + 57i 
D)  -27 - 57i 
A)    
B)  63 - 3i 
C)  -27 + 57i 
D)  -27 - 57i

Question 4

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

A)    
B)    
C)    
D)  31p 
A)    
B)    
C)    
D)  31p

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)  4 
B)  -2 
C)  3 
D)  not a real number 
A)  4 
B)  -2 
C)  3 
D)  not a real number

Question 6

Multiply.
--

Accepted Answer

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

Question 7

Multiply. Write the result in the form a + bi.
-  i

Accepted Answer

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

Question 8

Simplify.
-

Accepted Answer

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

Question 9

Simplify.
-

Accepted Answer

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

Question 10

Simplify. Write the answer in exponential form without negative exponents.
-

Accepted Answer

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

Question 11

Simplify. Write the answer in exponential form without negative exponents.
-

Accepted Answer

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

Question 12

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)  5 
B)  5.39 
C)  5.4 
D)  not a real number 
A)  5 
B)  5.39 
C)  5.4 
D)  not a real number

Question 13

Write the expression in exponential form. Assume that all variables represent positive real numbers.
-

Accepted Answer

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

Question 14

Simplify.
-

Accepted Answer

A)  12 
B)  21 
C)    
D)    
A)  12 
B)  21 
C)    
D)

Question 15

Simplify.
-

Accepted Answer

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

Question 16

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

Question 17

Write the expression in radical form. Assume that all variables represent positive real numbers.
-

Accepted Answer

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

Question 18

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

Accepted Answer

A)  10 
B)  5 
C)  20 
D)  40 
A)  10 
B)  5 
C)  20 
D)  40

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

A)  2, 3 
B)  -3, 3 
C)  -3 
D)  -2, 3 
A)  2, 3 
B)  -3, 3 
C)  -3 
D)  -2, 3

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Solve the problem. -Find the length of the hypotenuse of a right triangle whose legs measure 3 feet and 12 feet in length.

Multiply. Write the result in the form a + bi. -(6 + 9i)(3 + 5i)

Simplify. Assume all variables represent positive real numbers. -

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. -

Multiply. --

Multiply. Write the result in the form a + bi. - i

Simplify. -

Simplify. -

Simplify. Write the answer in exponential form without negative exponents. -

Simplify. Write the answer in exponential form without negative exponents. -

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. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

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. -

Write the expression in radical form. Assume that all variables represent positive real numbers. -

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. -

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

Solve. You will have to square both sides of the equation twice to eliminate all radicals. -

Solve the problem. -Find the length of the hypotenuse of a right triangle whose legs measure 3 feet and 12 feet in length.

Multiply. Write the result in the form a + bi. -(6 + 9i)(3 + 5i)

Simplify. Assume all variables represent positive real numbers. -

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. -

Multiply. --

Multiply. Write the result in the form a + bi. - i

Simplify. -

Simplify. -

Simplify. Write the answer in exponential form without negative exponents. -

Simplify. Write the answer in exponential form without negative exponents. -

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. -

Write the expression in exponential form. Assume that all variables represent positive real numbers. -

Simplify. -

Simplify. -

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. -

Write the expression in radical form. Assume that all variables represent positive real numbers. -

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. -

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