Question 1

Simplify.
-

Accepted Answer

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

Question 2

Solve the problem.
-Solve the formula

Accepted Answer

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

Question 3

Divide.
-

Accepted Answer

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

Question 4

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

Accepted Answer

A)  12, 4 
B)  -6, 6 
C)  6, 6 
D)  12, -4 
A)  12, 4 
B)  -6, 6 
C)  6, 6 
D)  12, -4

Question 5

Factor. Write the answer without negative exponents.
-

Accepted Answer

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

Question 6

Divide.
-

Accepted Answer

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

Question 7

Simplify. Assume all variables represent positive real numbers.
-

Accepted Answer

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

Question 8

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 9

Solve the problem.
-A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 30 feet from where the rope is staked down. Find the
Altitude of the balloon if the rope is 70 feet long.

Accepted Answer

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

Question 10

Solve the problem.
-A formula used to determine the velocity v in feet per second per second of an object (neglecting air resistance) after it has fallen a certain height is   , where g is the acceleration due to gravity and h is the height the
Object has fallen. If the acceleration g due to gravity on Earth is approximately 32 feet per second per second,
Find the velocity of a bowling ball after it has fallen 90 feet. (Round to the nearest tenth.)

Accepted Answer

A)  5760 ft/sec 
B)  53.7 ft/sec 
C)  75.9 ft/sec 
D)  13.4 ft/sec 
A)  5760 ft/sec 
B)  53.7 ft/sec 
C)  75.9 ft/sec 
D)  13.4 ft/sec

Question 11

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)  0.19 
C)    
D)  not a real number 
A)    
B)  0.19 
C)    
D)  not a real number

Question 12

Simplify.
-

Accepted Answer

A)    
B)    
C)  11 
D)    
A)    
B)    
C)  11 
D)

Question 13

Divide.
-

Accepted Answer

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

Question 14

Simplify.
-

Accepted Answer

A)  42 
B)    
C)    
D)    
A)  42 
B)    
C)    
D)

Question 15

Simplify.
-

Accepted Answer

A)    
B)    
C)    
D)  35 + 49 
A)    
B)    
C)    
D)  35 + 49

Question 16

Simplify.
-

Accepted Answer

A)  6 
B)    
C)    
D)  3 
A)  6 
B)    
C)    
D)  3

Question 17

Write as an absolute value.
-

Accepted Answer

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

Question 18

Simplify.
-

Accepted Answer

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

Question 19

Simplify by rationalizing the denominator.
-

Accepted Answer

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

Question 20

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

Accepted Answer

A)    
B)  2 
C)  -2 
D)    
A)    
B)  2 
C)  -2 
D)

Simplify. -

Solve the problem. -Solve the formula

Divide. -

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

Factor. Write the answer without negative exponents. -

Divide. -

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. -

Solve the problem. -A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 30 feet from where the rope is staked down. Find the Altitude of the balloon if the rope is 70 feet long.

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. -

Divide. -

Simplify. -

Simplify. -

Simplify. -

Write as an absolute value. -

Simplify. -

Simplify by rationalizing the denominator. -

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

Simplify. -

Solve the problem. -Solve the formula

Divide. -

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

Factor. Write the answer without negative exponents. -

Divide. -

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. -

Solve the problem. -A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 30 feet from where the rope is staked down. Find the Altitude of the balloon if the rope is 70 feet long.

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. -

Divide. -

Simplify. -

Simplify. -

Simplify. -

Write as an absolute value. -

Simplify. -

Simplify by rationalizing the denominator. -

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