Backtracking and Flowchart Techniques

Backtracking and Flowchart Techniques

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve equations using backtracking, a method that involves creating a flowchart to build and solve equations step by step. It emphasizes the importance of understanding inverse operations and demonstrates the process with an example. The tutorial also highlights the need to verify solutions by substituting values back into the equation and encourages practicing the method with various problems.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of this video tutorial?

Solving equations using substitution

Solving equations using guess-check-improve

Solving equations using inspection

Solving equations using backtracking

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might the guess-check-improve method be ineffective?

It requires too much time for decimal values

It is only suitable for simple equations

It does not involve any calculations

It is not a recognized mathematical method

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation of multiplication?

Exponentiation

Subtraction

Addition

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in creating a flowchart for backtracking?

Start with the equation

Start with the answer

Start with the solution

Start with the pronumeral

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the flowchart, what operation is performed first on the pronumeral?

Addition

Subtraction

Division by two

Multiplication by two

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of reversing the flowchart?

To check for errors

To verify the solution

To solve for the unknown variable

To simplify the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 11 minus 5 in the backtracking process?

5

7

6

4

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the solution obtained through backtracking?

By asking a teacher

By using a calculator

By substituting back into the original equation

By checking the flowchart

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after learning the backtracking method?

Forget about other methods

Practice more complex problems

Only use it for simple equations

Avoid using it in exams