Question 1

Find the value without using a calculator.

Accepted Answer

A)  999 
B)  10 
C)  1,000 
D)  30 
E)  100 
A)  999 
B)  10 
C)  1,000 
D)  30 
E)  100

Question 2

Write   in terms of i and simplify.

Accepted Answer

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

Question 3

Simplify the expression.

Accepted Answer

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

Question 4

Simplify the expression. Enter the answer in a + bi form.

Accepted Answer

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

Question 5

Find the domain and range of the function.

Accepted Answer

A)  D : (-∞, ∞), R : (-∞, ∞) 
B)  D : (-∞, ∞), R : [-8, ∞) 
C)  D : (-∞, 7)∪(7, ∞), R : (-∞, ∞) 
D)  D : (-∞, 7)∪(7, ∞), R : [-8, ∞) 
A)  D : (-∞, ∞), R : (-∞, ∞) 
B)  D : (-∞, ∞), R : [-8, ∞) 
C)  D : (-∞, 7)∪(7, ∞), R : (-∞, ∞) 
D)  D : (-∞, 7)∪(7, ∞), R : [-8, ∞)

Question 6

Find the following product and express your answer in simplest radical form.

Accepted Answer

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

Question 7

The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. On wet pavement,   . How far will a car skid if it is going 50 mph?

Accepted Answer

A)  about 215 ft 
B)  about 204 ft 
C)  about 238 ft 
D)  about 283 ft 
E)  about 226 ft 
A)  about 215 ft 
B)  about 204 ft 
C)  about 238 ft 
D)  about 283 ft 
E)  about 226 ft

Question 8

Find the square root without using a calculator.

Accepted Answer

A)  8 
B)  10 
C)    8 
D)    7 
E)  7 
A)  8 
B)  10 
C)    8 
D)    7 
E)  7

Question 9

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Accepted Answer

A)  -3 y 
B)  -3 y 2 
C)  3| y | 
D)  3 y 2 
E)  3 y 
A)  -3 y 
B)  -3 y 2 
C)  3| y | 
D)  3 y 2 
E)  3 y

Question 10

Use the distributive property to help simplify the expression.

Accepted Answer

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

Question 11

Rationalize the denominator and simplify. All variables represent positive real numbers.

Accepted Answer

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

Question 12

Find the value without using a calculator.

Accepted Answer

A)  -0.1 
B)  0.1 
C)  0.3 
D)  -0.3 
E)  not a real number 
A)  -0.1 
B)  0.1 
C)  0.3 
D)  -0.3 
E)  not a real number

Question 13

Find lengths of AC and BC, if AB =   .

Accepted Answer

A)  AC =   , BC = 12 
B)  AC = 12, BC =   
C)  AC =   , BC =   
D)  AC = 12, BC =   
E)  AC =   , BC = 6 
A)  AC =   , BC = 12 
B)  AC = 12, BC =   
C)  AC =   , BC =   
D)  AC = 12, BC =   
E)  AC =   , BC = 6

Question 14

Rationalize the numerator of a fraction.

Accepted Answer

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

Question 15

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Accepted Answer

A)  | a + 1| 
B)  a - 1 
C)  -a - 1 
D)  a + 1 
E)  | a - 1| 
A)  | a + 1| 
B)  a - 1 
C)  -a - 1 
D)  a + 1 
E)  | a - 1|

Question 16

Write   in terms of i and simplify.

Accepted Answer

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

Question 17

Find the distance between the two points. (1, 9) and (-9, -3)

Accepted Answer

A)    
B)    
C)  61 
D)    
E)    
A)    
B)    
C)  61 
D)    
E)

Question 18

Simplify the expression. Enter the answer in a + bi form.

Accepted Answer

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

Question 19

The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula   . If the satellite's orbital speed is   meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.

Accepted Answer

A)  4,397 
B)  21,478 
C)  19,331,856 
D)  19,333,456 
E)  19,330,256 
A)  4,397 
B)  21,478 
C)  19,331,856 
D)  19,333,456 
E)  19,330,256

Question 20

Simplify the expression.

Accepted Answer

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

Find the value without using a calculator.

Write in terms of i and simplify.

Simplify the expression.

Simplify the expression. Enter the answer in a + bi form.

Find the domain and range of the function.

Find the following product and express your answer in simplest radical form.

The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. On wet pavement, . How far will a car skid if it is going 50 mph?

Find the square root without using a calculator.

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Use the distributive property to help simplify the expression.

Rationalize the denominator and simplify. All variables represent positive real numbers.

Find the value without using a calculator.

Find lengths of AC and BC, if AB = .

Rationalize the numerator of a fraction. $Rationalize the numerator of a fraction.$

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Write in terms of i and simplify.

Find the distance between the two points. (1, 9) and (-9, -3)

Simplify the expression. Enter the answer in a + bi form.

Simplify the expression.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 7: Radical Expressions and Equations

Find the value without using a calculator.

Write in terms of i and simplify.

Simplify the expression.

Simplify the expression. Enter the answer in a + bi form.

Find the domain and range of the function.

Find the following product and express your answer in simplest radical form.

The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. On wet pavement, . How far will a car skid if it is going 50 mph?

Find the square root without using a calculator.

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Use the distributive property to help simplify the expression.

Rationalize the denominator and simplify. All variables represent positive real numbers.

Find the value without using a calculator.

Find lengths of AC and BC, if AB = .

Rationalize the numerator of a fraction.

Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.

Write in terms of i and simplify.

Find the distance between the two points. (1, 9) and (-9, -3)

Simplify the expression. Enter the answer in a + bi form.

Simplify the expression.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Rationalize the numerator of a fraction. $Rationalize the numerator of a fraction.$