Worksheet: Rational Equations by Cross Multiplication

In this worksheet, we will practice solving rational equations using cross multiplication.

Q1:

Solve .

• A
• B
• C
• D
• E

Q2:

Solve .

• A
• B
• C
• D
• E

Q3:

If the average of two numbers is 65, where one of them is 60, find the other number.

• A190
• B5
• C92
• D70

Q4:

Find given .

Q5:

Given that , , and , what is the value of ?

Q6:

Consider the function .

For what values of does have a solution?

• A and 9
• Ball real numbers except and 9
• C
• D
• Eall real numbers

What is the range of the function ?

• A
• B
• Call real numbers
• Dall real numbers except and 9
• E

Q7:

If , find the value of .

Q8:

Given that , which of the following is equal to ?

• A
• B
• C
• D

Q9:

Container has one litre of acid at a concentration, and container has the same acid at a concentration. How many litres from must be added to to obtain a concentration?

• A 7.35 litres
• B 2.17 litres
• C 4.28 litres
• D 5.25 litres
• E 6.97 litres

Q10:

Given that the ratio is equivalent to , then what are the possible values of ?

• A
• B
• C
• D

Q11:

If , find in its simplest form.

• A
• B
• C
• D
• E

Q12:

If the function , what is the value of for which the multiplicative inverse of is 16?

• A
• B
• C
• D
• E

Q13:

Given that , where and , determine the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q14:

Find the solution set of in .

• A
• B
• C
• D

Q15:

Find the value of given is the multiplicative inverse of .

• A
• B
• C
• D