FORMING AN EQUATION WRITING AN EQUATION

Forming An Equation (Writing An Equation)

Definition Of Forming An Equation (Writing An Equation)

It is the process of expressing a verbal description in the form of an equation.

More About Forming an Equation (Writing an Equation)

Numbers, variables, operators, and equality signs are used to form an equation from a verbal description.

Example of Forming an Equation (Writing an Equation)

Sam had few marbles. He purchased 6 more. Then he had 18 marbles. This situation can mathematically be expressed as x + 6 = 18.

Video Examples: How to Write an Equation

Solved Example on Forming an Equation (Writing an Equation)

Ques: Identify the situation that represents the equation, c ÷ 8 = 20

Choices:

A. Brian purchased c lb of carrot and 8 lb of onions. Weight of both vegetables was 20 lb
B. Steve had 8 pencils and his friend had 20 pencils. Number of pencils both had was c
C. Carol has 20 candies. She divided equally among 8 children. Each child got c candiesD. Amy has c chocolates. She divided them equally among 8 children. Each child got 20 chocolates

Correct Answer: D

Solution:

Step 1: Brian purchased c lb of carrots and 8 lb of onions. Weight of both vegetables was 20 lb. This situation can be represented by ' c + 8 = 20'
Step 2: Steve had 8 pencils and his friend had 20 pencils. Number of pencils both had was c. This situation can be represented by '8 + 20 = c'
Step 3: Carol has 20 candies. She divided equally among 8 children. Each child got c candies. This situation can be represented by ' 20 % 8 = c'
Step 4: Amy has c chocolates. She divided them equally among 8 children. Each child got 20 chocolates. This situation can be represented by 'c ÷ 8 = 20'
Step 5: So, the equation 'c ÷ 8 = 20' corresponds to the situation 'Amy has c chocolates. She divided them equally among 8 children. Each child got 20 chocolates'

Quick Summary

Translate verbal descriptions into mathematical expressions.
Use variables to represent unknown quantities.
Construct equations that represent relationships between quantities.

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🍎 Teacher Insights

Encourage students to break down complex sentences into smaller parts. Provide ample examples and practice problems with varying levels of difficulty. Emphasize the importance of checking the solution to ensure it satisfies the original problem.

🎓 Prerequisites

Basic arithmetic operations
Understanding of variables
Concept of equality

Check Your Knowledge

Q1: Which equation represents the statement: 'A number x increased by 5 is equal to 12'?

A. x - 5 = 12 B. x + 5 = 12 C. 5x = 12 D. x / 5 = 12

Q2: Amy has c chocolates. She divided them equally among 8 children. Each child got 20 chocolates. Which equation represents the situation?

A. c + 8 = 20 B. 8 + 20 = c C. 20 / 8 = c D. c / 8 = 20

Frequently Asked Questions

Q: What is a variable?
A: A variable is a symbol (usually a letter) that represents an unknown number or quantity.

Q: How do I know which operation to use?
A: Look for key words in the verbal description. 'More than' usually indicates addition, 'less than' indicates subtraction, 'times' indicates multiplication, and 'divided by' indicates division.