Understanding Negative Variables and Solving Equations

Understanding Negative Variables and Solving Equations

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial explains how to solve the equation negative x equals 42 by introducing the concept of the invisible one. It guides the viewer through the process of identifying the problem as a multiplication issue and solving it by dividing both sides by negative one to isolate the variable x, resulting in the solution x equals negative 42.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation presented in the video?

x equals 42

negative x equals 42

x plus 42 equals 0

negative x plus 42 equals 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the 'invisible one' in equations?

To subtract a number from the equation

To replace any number in front of a variable

To add a number to the equation

To represent a number when none is present in front of a variable

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When should you not insert the invisible one in front of a variable?

When the variable is positive

When the equation is a multiplication problem

When the variable is negative

When there is already a number present

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of mathematical operation is identified in the equation negative one times a variable?

Addition

Subtraction

Multiplication

Division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the opposite operation of multiplication that is used to solve the equation?

Addition

Subtraction

Multiplication

Division

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed on both sides of the equation to isolate the variable?

Addition by 42

Multiplication by negative one

Subtraction by 42

Division by negative one

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of x after solving the equation?

1

0

-42

42

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to perform the same operation on both sides of an equation?

To change the variable

To make the equation more complex

To keep the equation balanced

To simplify the equation