Solving a literal equation that is a proportion ex 13, x/a = y/b; solve for x

Solving a literal equation that is a proportion ex 13, x/a = y/b; solve for x

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to work with proportions by setting two ratios equal to each other. It introduces the concept of cross products to simplify the equation and solve for a variable. The process involves multiplying across the equation sign and isolating the variable by dividing. The tutorial concludes with a brief summary of the steps involved.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a proportion in mathematical terms?

A sum of numbers

A ratio set equal to another ratio

A difference between two numbers

A single number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the cross product to a proportion?

Add the ratios

Divide the cross products

Multiply the cross products

Subtract the ratios

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After applying the cross product, what equation do we get?

X / B = A / Y

X + B = A + Y

X * B = A * Y

X - B = A - Y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you isolate X in the equation X * B = A * Y?

Subtract B from both sides

Multiply both sides by B

Add B to both sides

Divide both sides by B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for X after solving the equation?

X = A * Y * B

X = A * Y / B

X = A + Y / B

X = A / Y * B