Solving a rational Equation

Solving a rational Equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve the equation 1/X + 2 = 7. It begins by discussing the importance of removing X from the denominator, followed by multiplying both sides by X + 2. The distributive property is applied to simplify the equation, leading to a multi-step linear equation. The tutorial concludes with finding the final solution for X, which is -15/4.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step to solve the equation 1/X + 2 = 7?

Add 2 to both sides

Divide both sides by X + 2

Subtract 2 from both sides

Multiply both sides by X + 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After multiplying both sides by X + 2, what property is applied to simplify the equation?

Commutative Property

Distributive Property

Associative Property

Identity Property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 3X from both sides of the equation?

0 = 3X + 14

-1 = 3X + 14

0 = 4X + 14

-1 = 4X + 14

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed after subtracting 14 from both sides?

Subtraction of 4

Addition of 4

Division by 4

Multiplication by 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for X in the equation?

X = 15/2

X = -15/4

X = 15/4

X = -15/2

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