Question 1

A 59 ounce jar of orange juice costs $3.00. Find the price per cup rounded to the nearest penny.
A) $0.41/cup
B) $0.40/cup
C) $0.05/cup

Accepted Answer

There are 8 ounces in a cup, so a 59 ounce jar contains 59 / 8 = 7.375 cups. The cost per cup is $3.00 / 7.375 = $0.407, which rounds to $0.41 per cup.

Question 2

Find the values of the variable that must be excluded for the rational expression.

Accepted Answer

The answer of Find the values of the variable that...

Question 3

Find the values of the variable that must be excluded for the rational expression.

Accepted Answer

The answer of Find the values of the variable that...

Question 4

You drive on the highway at a speed of 67 miles per hour. What is your speed in feet per minute? There are 5280 feet in one mile.
A) 353760 ft/min
B) 0.76 ft/min
C) 5896 ft/min

Accepted Answer

To convert miles per hour to feet per minute, we need to multiply by the number of feet in one mile (5280) and divide by the number of minutes in an hour (60), so:

67 miles/hour * 5280 feet/mile / 60 minutes/hour = 5896 feet/minute

Therefore, the correct answer is C.

Question 5

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 6

A complex fraction may be rewritten as a division problem.

Accepted Answer

A complex fraction is a fraction where either the numerator, denominator, or both contain fractions or have expressions that involve variables. To rewrite such a fraction as a division problem, we simply write the fraction's numerator over its denominator and calculate the division. For example, the complex fraction (1/2)/(3/4) can be rewritten as (1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3.

Question 7

A unit price always has a one in the numerator.

Accepted Answer

A unit price can have any number in the numerator, as it represents the cost per unit of measurement (e.g., per ounce, per liter, per kilogram, etc.), and is not restricted to having a one in the numerator.

Question 8

Find the values of the variable that must be excluded for the rational expression.

Accepted Answer

The answer of Find the values of the variable that...

Question 9

You drive to school at a speed of 1950 feet per minute. What is your speed in meters per second rounded to two decimal places? There are 3.28 feet in one meter.
A) 9.91 m/sec
B) 35670.73 m/sec
C) 106.6 m/sec

Accepted Answer

First, convert the speed from feet per minute to meters per minute by dividing by 3.28 (since there are 3.28 feet in a meter): 1950 feet/minute ÷ 3.28 = 594.51 meters/minute. Then, convert meters per minute to meters per second by dividing by 60 (since there are 60 seconds in a minute): 594.51 meters/minute ÷ 60 = 9.91 meters/second.

Question 10

To divide rational expressions multiply by the reciprocal of the second fraction.

Accepted Answer

This is the correct method for dividing rational expressions. Multiplying by the reciprocal of the second fraction is the same as multiplying by its inverse, which is equivalent to dividing by the second fraction.

Question 11

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 12

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 13

Turkey costs $4.60 per pound. Convert the price per pound (lb) to dollars per ounce (oz) rounded to the nearest penny.
A) $0.46/oz
B) $0.38/oz
C) $0.29/oz
D) $0.28/oz

Accepted Answer

There are 16 ounces in a pound. To find the cost per ounce, divide the cost per pound by 16. $4.60 / 16 = $0.2875, which rounds to $0.29 per ounce.

Question 14

Your dog needs a medicine that states the dosage is 30 mcg/kg of body weight. Find the dosage per pound then calculate the dosage for your dog that weighs 24 pounds. One pound is equivalent to 0.454 kg. Round to two decimal places.
A) 13.62 mcg/lb and 0.57 mcg
B) 13.62 mcg/lb and 326.88 mcg
C) 66.08 mcg/lb and 2.75 mcg
D) 66.08 mcg/lb and 1585.92 mcg

Accepted Answer

To find the dosage per pound, we need to convert mcg/kg to mcg/lb. 
30 mcg/kg * (1 kg/2.20462 lbs) = 13.62 mcg/lb

Now, to find the dosage for our dog weighing 24 pounds, we can use the following formula:
Dosage = Weight (in lbs) x Dosage per lb

Dosage = 24 lbs x 13.62 mcg/lb
Dosage = 326.88 mcg (rounded to two decimal places)

Therefore, choice B is correct.

Question 15

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 16

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 17

Find the values of the variable that must be excluded for the rational expression.

Accepted Answer

The answer of Find the values of the variable that...

Question 18

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 19

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. ...

Question 20

Multiply the rational expression. Simplify. 
A) 
B) 
C)

Accepted Answer

The answer of Multiply the rational expression. Simplify. 
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B)...

Quiz 7: Rational Expressions and Equations

A 59 ounce jar of orange juice costs $3.00. Find the price per cup rounded to the nearest penny.

Find the values of the variable that must be excluded for the rational expression.

Find the values of the variable that must be excluded for the rational expression.

You drive on the highway at a speed of 67 miles per hour. What is your speed in feet per minute? There are 5280 feet in one mile.

Simplify the rational expression.

A complex fraction may be rewritten as a division problem.

A unit price always has a one in the numerator.

Find the values of the variable that must be excluded for the rational expression.

You drive to school at a speed of 1950 feet per minute. What is your speed in meters per second rounded to two decimal places? There are 3.28 feet in one meter.

To divide rational expressions multiply by the reciprocal of the second fraction.

Simplify the rational expression.

Simplify the rational expression.

Turkey costs $4.60 per pound. Convert the price per pound (lb) to dollars per ounce (oz) rounded to the nearest penny.

Your dog needs a medicine that states the dosage is 30 mcg/kg of body weight. Find the dosage per pound then calculate the dosage for your dog that weighs 24 pounds. One pound is equivalent to 0.454 kg. Round to two decimal places.

Simplify the rational expression.

Simplify the rational expression.

Find the values of the variable that must be excluded for the rational expression.

Simplify the rational expression.

Simplify the rational expression.

Multiply the rational expression. Simplify.