Question 1

Solve for x:

Accepted Answer

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

Question 2

Divide:

Accepted Answer

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

Question 3

Write the fractions below in terms of the LCM of the denominators.

Accepted Answer

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

Question 4

Solve:

Accepted Answer

A)  10 
B)  -10 
C)  4 
D)    
E)    
A)  10 
B)  -10 
C)  4 
D)    
E)

Question 5

A new machine can make 12,500 aluminum cans four times faster than an older machine. With both machines working, 12,500 cans be made in 20 h. How long would it take the new machine, working alone, to make 12,500 cans?

Accepted Answer

A)  24 h 
B)  25 h 
C)  80 h 
D)  27 h 
E)  26 h 
A)  24 h 
B)  25 h 
C)  80 h 
D)  27 h 
E)  26 h

Question 6

Solve:

Accepted Answer

A)    
B)    
C)  -5 
D)  4 
E)  -4 
A)    
B)    
C)  -5 
D)  4 
E)  -4

Question 7

Solve:

Accepted Answer

A)  3 
B)    
C)  6 
D)  -3 
E)    
A)  3 
B)    
C)  6 
D)  -3 
E)

Question 8

The repulsive force (f) between the north poles of two magnets is inversely proportional to the square of the distance (d) between them. If the repulsive force is 10 lb when the distance is 16 in., find the repulsive force when the distance is 8 in.

Accepted Answer

A)  40 lb 
B)  60 lb 
C)  20 lb 
D)  5 lb 
E)  2 lb 
A)  40 lb 
B)  60 lb 
C)  20 lb 
D)  5 lb 
E)  2 lb

Question 9

In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 206 had cable television. Estimate the number of homes in the city that have cable television.

Accepted Answer

A)  20,600 
B)  43,689 
C)  9400 
D)  20,611 
E)  21,087 
A)  20,600 
B)  43,689 
C)  9400 
D)  20,611 
E)  21,087

Question 10

A cruise ship can sail at 27 mph in calm water. Sailing with the gulf current, the ship can sail 136 mi in the same amount of time it can sail 80 mi against the gulf current. Find the rate of the gulf current.

Accepted Answer

A)  9 mph 
B)  14 mph 
C)  7 mph 
D)  16 mph 
E)  11 mph 
A)  9 mph 
B)  14 mph 
C)  7 mph 
D)  16 mph 
E)  11 mph

Question 11

The distance (d) that a spring will stretch varies directly as the force (f) applied to the spring. If a force of 4 lb is required to stretch a spring 2 in., what force is required to stretch the spring 6 in.?

Accepted Answer

A)  1 lb 
B)  3 lb 
C)  12 lb 
D)  15 lb 
E)  13 lb 
A)  1 lb 
B)  3 lb 
C)  12 lb 
D)  15 lb 
E)  13 lb

Question 12

Simplify:

Accepted Answer

A)    
B)    
C)    
D)    
E)  cannot be simplified 
A)    
B)    
C)    
D)    
E)  cannot be simplified

Question 13

Divide:

Accepted Answer

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

Question 14

Two pipelines can fill a small tank in 10 min. One of the pipelines would require 20 min to fill the tank. How long would it take the second pipeline, working alone, to fill the tank?

Accepted Answer

A)  17 min 
B)  20 min 
C)  30 min 
D)  24 min 
E)  23 min 
A)  17 min 
B)  20 min 
C)  30 min 
D)  24 min 
E)  23 min

Question 15

Write each of the following fractions in terms of the LCM of the denominators:

Accepted Answer

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

Question 16

Solve for y:

Accepted Answer

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

Question 17

On a map, two cities are   in. apart. If 3/8 in. on the map represents 25 mi, find the number of miles between the two cities.

Accepted Answer

A)  19.92 mi 
B)  141.67 mi 
C)  16.67 mi 
D)  123.67 mi 
E)  143.67 mi 
A)  19.92 mi 
B)  141.67 mi 
C)  16.67 mi 
D)  123.67 mi 
E)  143.67 mi

Question 18

Multiply:

Accepted Answer

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

Question 19

An express train travels 464 mi in the same amount of time it takes a freight train to travel 240 mi. The rate of the express train is 28 mph faster than that of the freight train. Find the rate of the express train.

Accepted Answer

A)  58 mph 
B)  66 mph 
C)  64 mph 
D)  65 mph 
E)  59 mph 
A)  58 mph 
B)  66 mph 
C)  64 mph 
D)  65 mph 
E)  59 mph

Question 20

Simplify:

Accepted Answer

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

Solve for x:

Divide:

Write the fractions below in terms of the LCM of the denominators. $Write the fractions below in terms of the LCM of the denominators.$

Solve:

A new machine can make 12,500 aluminum cans four times faster than an older machine. With both machines working, 12,500 cans be made in 20 h. How long would it take the new machine, working alone, to make 12,500 cans?

Solve:

Solve:

The repulsive force (f) between the north poles of two magnets is inversely proportional to the square of the distance (d) between them. If the repulsive force is 10 lb when the distance is 16 in., find the repulsive force when the distance is 8 in.

In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 206 had cable television. Estimate the number of homes in the city that have cable television.

A cruise ship can sail at 27 mph in calm water. Sailing with the gulf current, the ship can sail 136 mi in the same amount of time it can sail 80 mi against the gulf current. Find the rate of the gulf current.

The distance (d) that a spring will stretch varies directly as the force (f) applied to the spring. If a force of 4 lb is required to stretch a spring 2 in., what force is required to stretch the spring 6 in.?

Simplify:

Divide:

Two pipelines can fill a small tank in 10 min. One of the pipelines would require 20 min to fill the tank. How long would it take the second pipeline, working alone, to fill the tank?

Write each of the following fractions in terms of the LCM of the denominators: $Write each of the following fractions in terms of the LCM of the denominators:$

Solve for y:

On a map, two cities are in. apart. If ³/₈ in. on the map represents 25 mi, find the number of miles between the two cities.

Multiply:

An express train travels 464 mi in the same amount of time it takes a freight train to travel 240 mi. The rate of the express train is 28 mph faster than that of the freight train. Find the rate of the express train.

Simplify:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Exam 8: Rational Expressions

Solve for x:

Divide:

Write the fractions below in terms of the LCM of the denominators.

Solve:

A new machine can make 12,500 aluminum cans four times faster than an older machine. With both machines working, 12,500 cans be made in 20 h. How long would it take the new machine, working alone, to make 12,500 cans?

Solve:

Solve:

The repulsive force (f) between the north poles of two magnets is inversely proportional to the square of the distance (d) between them. If the repulsive force is 10 lb when the distance is 16 in., find the repulsive force when the distance is 8 in.

In a city of 30,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 206 had cable television. Estimate the number of homes in the city that have cable television.

A cruise ship can sail at 27 mph in calm water. Sailing with the gulf current, the ship can sail 136 mi in the same amount of time it can sail 80 mi against the gulf current. Find the rate of the gulf current.

The distance (d) that a spring will stretch varies directly as the force (f) applied to the spring. If a force of 4 lb is required to stretch a spring 2 in., what force is required to stretch the spring 6 in.?

Simplify:

Divide:

Two pipelines can fill a small tank in 10 min. One of the pipelines would require 20 min to fill the tank. How long would it take the second pipeline, working alone, to fill the tank?

Write each of the following fractions in terms of the LCM of the denominators:

Solve for y:

On a map, two cities are in. apart. If 3/8 in. on the map represents 25 mi, find the number of miles between the two cities.

Multiply:

An express train travels 464 mi in the same amount of time it takes a freight train to travel 240 mi. The rate of the express train is 28 mph faster than that of the freight train. Find the rate of the express train.

Simplify:

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Linear Functions and Inequalities in Two Variables

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Write the fractions below in terms of the LCM of the denominators. $Write the fractions below in terms of the LCM of the denominators.$

Write each of the following fractions in terms of the LCM of the denominators: $Write each of the following fractions in terms of the LCM of the denominators:$

On a map, two cities are in. apart. If ³/₈ in. on the map represents 25 mi, find the number of miles between the two cities.