Question 1

Match between columns
                        Premises: U varies directly with the square of r and inversely with the square of s
U varies jointly with r and s
U varies jointly with r and the square of s
U varies jointly with r and s and inversely with t

Accepted Answer

The Answer of 11ec1e8e_2c0a_142d_be9b_0df57616d951_TBX8967_11 and 11ec1e8e_2c0a_6256_be9b_5bf0a97651ed_TBX8967_11 and 11ec1e8e_2c0a_3b41_be9b_c70e9cf5a349_TBX8967_11 and 11ec1e8e_2c0a_625a_be9b_a39352abc7a2_TBX8967_11 is...

Question 2

Perform the indicated operation and express your answer in simplest form.

Accepted Answer

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

Question 3

Express the sentence as a formula. Assume that   is a constant of variation. For a fixed area, the length   of a rectangle varies inversely with its width   .

Accepted Answer

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

Question 4

Perform the division.

Accepted Answer

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

Question 5

The average cost c (in dollars) for a company to produce x child car seats is given by the formula .   Find the company's average cost to produce a car seat if 1,000 are produced.   $ __________

Accepted Answer

The answer of The average cost c (in dollars) for...

Question 6

Simplify this rational expression. Assume the denominator never equals zero.

Accepted Answer

A)    
B)    
C)    
D)    
E)  Does not simplify further. 
A)    
B)    
C)    
D)    
E)  Does not simplify further.

Question 7

A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollment of 2,750 students?

Accepted Answer

A)  190 teachers 
B)  176 teachers 
C)  165 teachers 
D)  181 teachers 
E)  222 teachers 
A)  190 teachers 
B)  176 teachers 
C)  165 teachers 
D)  181 teachers 
E)  222 teachers

Question 8

Perform the indicated division and express your answer in simplest form.

Accepted Answer

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

Question 9

The function   gives the number of days it would take two construction crews, working together, to frame a house that crew 1 (working alone) could complete in t days and crew 2 (working alone) could complete in   days. If crew 2 could frame a certain house in 20 days, how long would it take both crews working together? Round the answer to the nearest tenth.

Accepted Answer

A)  10.7 days 
B)  1.7 days 
C)  12.2 days 
D)  9.2 days 
A)  10.7 days 
B)  1.7 days 
C)  12.2 days 
D)  9.2 days

Question 10

Simplify.

Accepted Answer

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

Question 11

Use similar triangles to help solve the problem. A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole.   a = 13, b = 4, c = 34

Accepted Answer

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

Question 12

Solve   for c .

Accepted Answer

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

Question 13

Which value of x makes the rational expression   undefined?

Accepted Answer

A)    
B)    
C)    
D)    
E)  none 
A)    
B)    
C)    
D)    
E)  none

Question 14

Perform the indicated operation.

Accepted Answer

The answer of Perform the indicated operation.  ...

Question 15

Suppose that the width of a certain rectangle is 3 inches more than one-fourth of its length. The perimeter of the rectangle is 66 inches. Find the length and width of the rectangle. length: __________ inches width: __________ inches

Accepted Answer

The answer of Suppose that the width of a certain...

Question 16

Perform the division.

Accepted Answer

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

Question 17

Add the rational expressions. Be sure to express your answer in simplest form.

Accepted Answer

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

Question 18

Express the formula in words. k is the constant of variation.

Accepted Answer

A)  L varies directly with   and inversely with m . 
B)  L varies inversely with m and directly with   . 
C)  L varies directly with m and inversely with   . 
D)  none of these. 
A)  L varies directly with   and inversely with m . 
B)  L varies inversely with m and directly with   . 
C)  L varies directly with m and inversely with   . 
D)  none of these.

Question 19

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x ; P ( x ) = 7 x 3 - 7 x 2 - 8 x . Hint : Write x as x - 0.

Accepted Answer

A)  no 
B)  yes 
A)  no 
B)  yes

Question 20

Perform the indicated operation and simplify.

Accepted Answer

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

Perform the indicated operation and express your answer in simplest form.

Express the sentence as a formula. Assume that is a constant of variation. For a fixed area, the length of a rectangle varies inversely with its width .

Perform the division.

The average cost c (in dollars) for a company to produce x child car seats is given by the formula . Find the company's average cost to produce a car seat if 1,000 are produced. $ __________

Simplify this rational expression. Assume the denominator never equals zero.

A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollment of 2,750 students?

Perform the indicated division and express your answer in simplest form.

Simplify.

Use similar triangles to help solve the problem. A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole. a = 13, b = 4, c = 34

Solve for c .

Which value of x makes the rational expression undefined?

Perform the indicated operation.

Suppose that the width of a certain rectangle is 3 inches more than one-fourth of its length. The perimeter of the rectangle is 66 inches. Find the length and width of the rectangle. length: inches width: inches

Perform the division.

Add the rational expressions. Be sure to express your answer in simplest form.

Express the formula in words. k is the constant of variation.

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x ; P ( x ) = 7 x ³ - 7 x ² - 8 x . Hint : Write x as x - 0.

Perform the indicated operation and simplify.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Radical Expressions and Equations

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 6: Rational Expressions

Perform the indicated operation and express your answer in simplest form.

Express the sentence as a formula. Assume that is a constant of variation. For a fixed area, the length of a rectangle varies inversely with its width .

Perform the division.

The average cost c (in dollars) for a company to produce x child car seats is given by the formula . Find the company's average cost to produce a car seat if 1,000 are produced. $ __________

Simplify this rational expression. Assume the denominator never equals zero.

A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollment of 2,750 students?

Perform the indicated division and express your answer in simplest form.

Simplify.

Use similar triangles to help solve the problem. A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole. a = 13, b = 4, c = 34

Solve for c .

Which value of x makes the rational expression undefined?

Perform the indicated operation.

Suppose that the width of a certain rectangle is 3 inches more than one-fourth of its length. The perimeter of the rectangle is 66 inches. Find the length and width of the rectangle. length: __________ inches width: __________ inches

Perform the division.

Add the rational expressions. Be sure to express your answer in simplest form.

Express the formula in words. k is the constant of variation.

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x ; P ( x ) = 7 x 3 - 7 x 2 - 8 x . Hint : Write x as x - 0.

Perform the indicated operation and simplify.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Radical Expressions and Equations

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

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Suppose that the width of a certain rectangle is 3 inches more than one-fourth of its length. The perimeter of the rectangle is 66 inches. Find the length and width of the rectangle. length: inches width: inches

Use the factor theorem and tell whether the first expression is a factor of P ( x ). x ; P ( x ) = 7 x ³ - 7 x ² - 8 x . Hint : Write x as x - 0.