Question 1

Simplify.
-

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

A)  0, 4 
B)  0, 24 
C)  24 
D)  no real solution 
A)  0, 4 
B)  0, 24 
C)  24 
D)  no real solution

Question 5

Provide an appropriate response.
-The expression   is not considered simplified since the contains a fraction.

Accepted Answer

A)  denominator 
B)  numerator 
C)  index 
D)  radicand 
A)  denominator 
B)  numerator 
C)  index 
D)  radicand

Question 6

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 7

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

Accepted Answer

A)  0 - 13i 
B)    
C)    
D)  0 + 13i 
A)  0 - 13i 
B)    
C)    
D)  0 + 13i

Question 8

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

Accepted Answer

A)  -8 
B)  -7 
C)  7 
D)  8 
A)  -8 
B)  -7 
C)  7 
D)  8

Question 9

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

Accepted Answer

A)  7 
B)    
C)  49 
D)    
A)  7 
B)    
C)  49 
D)

Question 10

Simplify.
-

Accepted Answer

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

Question 11

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

Accepted Answer

A)    
B)  49 
C)  7 
D)    
A)    
B)  49 
C)  7 
D)

Question 12

Add or subtract.
-7i + (-9 - i)

Accepted Answer

A)  9 - 6i 
B)  9 - 8i 
C)  -9 + 6i 
D)  -9 + 8i 
A)  9 - 6i 
B)  9 - 8i 
C)  -9 + 6i 
D)  -9 + 8i

Question 13

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)  8 
B)  -8 
C)  4096 
D)  not a real number 
A)  8 
B)  -8 
C)  4096 
D)  not a real number

Question 14

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Simplify.
-

Accepted Answer

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

Question 17

Solve the problem.
-Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Accepted Answer

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

Question 18

Simplify.
-

Accepted Answer

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

Question 19

Solve the problem.
-Solve the formula

Accepted Answer

The answer of Solve the problem.
-Solve the formula  ...

Question 20

Simplify by rationalizing the denominator.
-

Accepted Answer

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

Simplify. -

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

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

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

Provide an appropriate response. -The expression $Provide an appropriate response. -The expression is not considered simplified since the contains a fraction.$ is not considered simplified since the contains a fraction.

Simplify. Assume all variables represent positive real numbers. -

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

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. -

Simplify. -

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

Add or subtract. -7i + (-9 - i)

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. Assume all variables represent positive real numbers. -

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

Simplify. -

Solve the problem. -Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Simplify. -

Solve the problem. -Solve the formula

Simplify by rationalizing the denominator. -

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

Simplify. -

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

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

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

Provide an appropriate response. -The expression is not considered simplified since the contains a fraction.

Simplify. Assume all variables represent positive real numbers. -

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

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. -

Simplify. -

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

Add or subtract. -7i + (-9 - i)

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. Assume all variables represent positive real numbers. -

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

Simplify. -

Solve the problem. -Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.

Simplify. -

Solve the problem. -Solve the formula

Simplify by rationalizing the denominator. -

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

Provide an appropriate response. -The expression $Provide an appropriate response. -The expression is not considered simplified since the contains a fraction.$ is not considered simplified since the contains a fraction.