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In this lesson, we will learn how to get an unknown value in a proportional relation using cross multiplication and how to apply that in real-life situations.

Q1:

Given that 8 1 9 = 4 π¦ , which of the following expressions must be equal to 8 Γ π¦ ?

Q2:

3 5 = β― 1 0 0 .

Q3:

If 6 6 π₯ = 0 . 7 5 , find the value of π₯ .

Q4:

If 2 6 π₯ = 0 . 5 , find the value of π₯ .

Q5:

If 8 and 3 are in the same ratio as 96 and π₯ , then find the value of π₯ .

Q6:

The numbers 6 and 19 are in the same proportion as π₯ and 22. Calculate the value of π₯ , giving your answer as a top heavy fraction in its simplest form.

Q7:

The velocity π£ of a falling object varies directly with the time, π‘ , of the fall. If, after 2 seconds, the velocity of the object is 64 feet per second, what is the velocity after 5 seconds?

Q8:

Given that π 4 = 2 4 3 2 , find the value of π .

Q9:

Given that , find the value of .

Q10:

If 7 π₯ = 4 2 7 8 , find the value of π₯ .

Q11:

If π π = π π , then π Γ π = .

Q12:

It took Liam 30 minutes to bike 7 miles. At this rate, use a ratio table to find how long it would take him to bike for 21 miles.

Q13:

Which of the following shows a proportional relationship?

Q14:

A person walks 10 kilometers in 40 minutes walking at a constant speed. If they continue walking at this speed, how long will it take them to walk 6 kilometers?

Q15:

James ran 7 km in 45 minutes. How long would it take him to run 14 km at the same speed?

Q16:

If 5 3 = π₯ 2 . 1 6 , find the value of π₯ .

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