Question 1

Simplify the radical expression. Assume that variables represent positive numbers.

Accepted Answer

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

Question 2

Find the value.

Accepted Answer

The answer of Find the value.  ...

Question 3

The period of a pendulum is the time it takes to swing from one side to the other side and back. The formula   where T represents the time in seconds and L the length in feet, can be used to determine the period of a pendulum (see the figure). Find the period of a 4-feet pendulum. Express your answer to the nearest tenth of a second.

Accepted Answer

A)  2.4 seconds 
B)  2.9 seconds 
C)  2.2 seconds 
D)  2.5 seconds 
E)  0.8 seconds 
A)  2.4 seconds 
B)  2.9 seconds 
C)  2.2 seconds 
D)  2.5 seconds 
E)  0.8 seconds

Question 4

Solve the equation. Check all solutions.

Accepted Answer

A)  x = 0, x =   is extraneous 
B)  x = 0, x = -   is extraneous 
C)  x = 0, x =   
D)  x = 0, x = -   
E)  x = 0, x =   
A)  x = 0, x =   is extraneous 
B)  x = 0, x = -   is extraneous 
C)  x = 0, x =   
D)  x = 0, x = -   
E)  x = 0, x =

Question 5

The number of wrenches that can be produced at a given price can be predicted by the formula   , where   is the supply (in thousands) and   is the price (in dollars). If the demand   for the wrenches can be predicted by the formula   , find the equilibrium price.

Accepted Answer

A)  $5 
B)  $4 
C)  $3 
D)  None of the above 
A)  $5 
B)  $4 
C)  $3 
D)  None of the above

Question 6

Use the distributive property to help simplify the expression.

Accepted Answer

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

Question 7

Find the domain and range of the function.

Accepted Answer

A)  D : (-4, ∞), R : [0, ∞) 
B)  D : [-4, ∞), R : (0, ∞) 
C)  D : [-4, ∞), R : [0, ∞) 
D)  D : (-4, ∞), R : (0, ∞) 
A)  D : (-4, ∞), R : [0, ∞) 
B)  D : [-4, ∞), R : (0, ∞) 
C)  D : [-4, ∞), R : [0, ∞) 
D)  D : (-4, ∞), R : (0, ∞)

Question 8

Find the length of AB, if BC =   .

Accepted Answer

A)  4 
B)  2 
C)  3 
D)  8 
E)  16 
A)  4 
B)  2 
C)  3 
D)  8 
E)  16

Question 9

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

Accepted Answer

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

Question 10

Solve the equation.

Accepted Answer

A)  t = 6 
B)  t = 7 
C)  t = 5 
D)  t = 5, 6 
E)  no solution 
A)  t = 6 
B)  t = 7 
C)  t = 5 
D)  t = 5, 6 
E)  no solution

Question 11

Solve the equation.

Accepted Answer

A)  a = 36 
B)  a = 3 
C)  a = 9 
D)  a = 6 
E)  no solution 
A)  a = 36 
B)  a = 3 
C)  a = 9 
D)  a = 6 
E)  no solution

Question 12

What size is the television screen shown in the illustration? Find   if   in. and   in.

Accepted Answer

A)  25 in. 
B)  35 in. 
C)  14.2 in. 
D)  13.2 in. 
E)  5 in. 
A)  25 in. 
B)  35 in. 
C)  14.2 in. 
D)  13.2 in. 
E)  5 in.

Question 13

Find the domain and range of the function.

Accepted Answer

A)  D : (0, ∞), R :(-∞, -6) 
B)  D : [0, ∞), R :(-6, ∞] 
C)  D : [0, ∞), R :(-∞, -6] 
D)  D : [0, ∞), R :(-∞, ∞) 
A)  D : (0, ∞), R :(-∞, -6) 
B)  D : [0, ∞), R :(-6, ∞] 
C)  D : [0, ∞), R :(-∞, -6] 
D)  D : [0, ∞), R :(-∞, ∞)

Question 14

Find the value.

Accepted Answer

A)    
B)  1 
C)    
D)    
E)  -1 
A)    
B)  1 
C)    
D)    
E)  -1

Question 15

Write the expression in   form.

Accepted Answer

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

Question 16

Perform the operation. Write the answer in a + bi form.

Accepted Answer

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

Question 17

The power generated by a windmill is related to the speed of the wind by the formula   , where   is the speed of the wind (in mph) and   is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.

Accepted Answer

A)  27.07 mph 
B)  28.99 mph 
C)  28.25 mph 
D)  27.44 mph 
E)  27.56 mph 
A)  27.07 mph 
B)  28.99 mph 
C)  28.25 mph 
D)  27.44 mph 
E)  27.56 mph

Question 18

Simplify the expression.

Accepted Answer

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

Question 19

A cubical box has a volume of 8 cubic feet. Substitute 8 for V in the formula   , and solve for s to find the length of each side of the box.

Accepted Answer

A)    
B)  6 cu. ft. 
C)  4 cu. ft. 
D)  2 cu. ft. 
E)  none of the above 
A)    
B)  6 cu. ft. 
C)  4 cu. ft. 
D)  2 cu. ft. 
E)  none of the above

Question 20

Find the absolute value.

Accepted Answer

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

Simplify the radical expression. Assume that variables represent positive numbers.

Find the value.

Solve the equation. Check all solutions.

The number of wrenches that can be produced at a given price can be predicted by the formula , where is the supply (in thousands) and is the price (in dollars). If the demand for the wrenches can be predicted by the formula , find the equilibrium price.

Use the distributive property to help simplify the expression.

Find the domain and range of the function.

Find the length of AB, if BC = .

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

Solve the equation.

Solve the equation.

What size is the television screen shown in the illustration? Find if in. and in.

Find the domain and range of the function.

Find the value.

Write the expression in form.

Perform the operation. Write the answer in a + bi form.

The power generated by a windmill is related to the speed of the wind by the formula , where is the speed of the wind (in mph) and is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.

Simplify the expression.

A cubical box has a volume of 8 cubic feet. Substitute 8 for V in the formula , and solve for s to find the length of each side of the box.

Find the absolute value.

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

Simplify the radical expression. Assume that variables represent positive numbers.

Find the value.

Solve the equation. Check all solutions.

The number of wrenches that can be produced at a given price can be predicted by the formula , where is the supply (in thousands) and is the price (in dollars). If the demand for the wrenches can be predicted by the formula , find the equilibrium price.

Use the distributive property to help simplify the expression.

Find the domain and range of the function.

Find the length of AB, if BC = .

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

Solve the equation.

Solve the equation.

What size is the television screen shown in the illustration? Find if in. and in.

Find the domain and range of the function.

Find the value.

Write the expression in form.

Perform the operation. Write the answer in a + bi form.

The power generated by a windmill is related to the speed of the wind by the formula , where is the speed of the wind (in mph) and is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.

Simplify the expression.

A cubical box has a volume of 8 cubic feet. Substitute 8 for V in the formula , and solve for s to find the length of each side of the box.

Find the absolute value.

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