Solving a literal equation by solving for y with a fraction

Solving a literal equation by solving for y with a fraction

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve for X in a literal equation. It begins by introducing the concept of pinning the variable and using inverse operations to simplify the equation. The instructor demonstrates how to add 12 to both sides and then multiply by the reciprocal to isolate X. The tutorial concludes with a step-by-step walkthrough of the final calculations, resulting in the solution for X.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a literal equation according to the instructor?

Multiply both sides by a constant

Pin the variable and identify operations affecting it

Add a constant to both sides

Divide both sides by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving the equation, why can't we add 12 directly to Y?

Because Y is a constant

Because it would make the equation incorrect

Because the value of Y is unknown

Because Y is already isolated

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to handle the fraction in the equation?

Dividing by the fraction

Multiplying by the reciprocal of the fraction

Adding the same fraction to both sides

Subtracting the fraction from both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying a fraction by its reciprocal?

A larger fraction

One

The original fraction

Zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the equation after solving for X?

X = 3/2 * Y + 18

X = Y + 12

X = 3/2 * Y - 18

X = 2/3 * Y - 12