Question 1

Divide.
-

Accepted Answer

A)  1 
B)  0 
C)  -1 
D)  - i 
A)  1 
B)  0 
C)  -1 
D)  - i

Question 2

Simplify.
-

Accepted Answer

A)    
B)  4 
C)    
D)  2 
A)    
B)  4 
C)    
D)  2

Question 3

Use absolute value to evaluate.
-

Accepted Answer

A)    
B)  9 
C)  6561 
D)  not a real number 
A)    
B)  9 
C)  6561 
D)  not a real number

Question 4

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational
numbers to the nearest thousandth.
-Find r(27) if r(x) =

Accepted Answer

A)  22 
B)  -4 
C)  4 
D)  14 
A)  22 
B)  -4 
C)  4 
D)  14

Question 5

Simplify.
-

Accepted Answer

A)  0 
B)  1 
C)    
D)  5 
A)  0 
B)  1 
C)    
D)  5

Question 6

Simplify.
-

Accepted Answer

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

Question 7

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 8

Simplify.
-

Accepted Answer

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

Question 9

Simplify.
-

Accepted Answer

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

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

Simplify.
-

Accepted Answer

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

Question 12

Simplify.
-

Accepted Answer

A)  900 
B)    
C)    
D)  30 
A)  900 
B)    
C)    
D)  30

Question 13

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

Accepted Answer

A)  16 
B)    
C)  4 
D)    
A)  16 
B)    
C)  4 
D)

Question 14

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

Accepted Answer

A)  0 + 6i 
B)    
C)    
D)    
A)  0 + 6i 
B)    
C)    
D)

Question 15

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

Accepted Answer

A)    n. 
B)    
C)    
D)  1080 in. 
A)    n. 
B)    
C)    
D)  1080 in.

Question 16

Simplify.
-

Accepted Answer

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

Question 17

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)  -6.58 
B)  6.59 
C)  -6.59 
D)  not a real number 
A)  -6.58 
B)  6.59 
C)  -6.59 
D)  not a real number

Question 18

Solve the problem.
-A right circular cone used for packaging candy needs to hold 5 cubic inches of candy and be 3 inches tall. Let   represent the radius of the circular base where V represents the volume of the cone and h represents the height of the cone. Approximate the radius of this package.

Accepted Answer

A)  r = 2.19 in. 
B)  r = 0.56 in. 
C)  r = 1.26 in. 
D)  r = 2.24 in. 
A)  r = 2.19 in. 
B)  r = 0.56 in. 
C)  r = 1.26 in. 
D)  r = 2.24 in.

Question 19

Multiply.
-

Accepted Answer

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

Question 20

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

Accepted Answer

A)  64 
B)    
C)    
D)  8 
A)  64 
B)    
C)    
D)  8

Divide. -

Simplify. -

Use absolute value to evaluate. -

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational numbers to the nearest thousandth. -Find r(27) if r(x) =

Simplify. -

Simplify. -

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

Simplify. -

Simplify. -

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

Simplify. -

Simplify. -

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

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

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

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. -

Solve the problem. -A right circular cone used for packaging candy needs to hold 5 cubic inches of candy and be 3 inches tall. Let represent the radius of the circular base where V represents the volume of the cone and h represents the height of the cone. Approximate the radius of this package.

Multiply. -

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

Divide. -

Simplify. -

Use absolute value to evaluate. -

Find the indicated value of the function. Use your calculator to approximate irrational numbers. Round irrational numbers to the nearest thousandth. -Find r(27) if r(x) =

Simplify. -

Simplify. -

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

Simplify. -

Simplify. -

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

Simplify. -

Simplify. -

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

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

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

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. -

Solve the problem. -A right circular cone used for packaging candy needs to hold 5 cubic inches of candy and be 3 inches tall. Let represent the radius of the circular base where V represents the volume of the cone and h represents the height of the cone. Approximate the radius of this package.

Multiply. -

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