EQUATE

Equate

Definition Of Equate

Equate is to make two things equal or the values that are equal.

Example of Equate

A ring weighing 19 gm is placed on one pan of the common balance and another ring weighing 12 gm is placed on the other pan.
To equate the weights on the common balance, we have to add 7 gm to the pan containing the ring of 12 gm as 19 gm = 12 gm + 7 gm.

Video Examples: Algebra and Functions (1) Polynomial Division & Equating Coefficients

Solved Example on Equate

Ques: How many feet do 3 yards equate to?

Choices:

A. 81
B. 9
C. 6
D. 3
Correct Answer: B

Solution:

Step 1: 1 yard = 3 feet.
Step 2: 3 yards = 3 × 3 feet = 9 feet.
Step 3: So, 3 yards can be equated to 9 feet

Quick Summary

Equating involves setting two expressions or quantities equal to each other.
It is used to solve for unknown variables or compare values.
The goal is to find the value(s) that satisfy the equality.

\[ a = b \]

🍎 Teacher Insights

Use real-world examples, like balancing weights or comparing costs, to illustrate the concept of equating. Emphasize the importance of performing the same operations on both sides of the equation.

🎓 Prerequisites

Basic Arithmetic
Understanding Variables

Check Your Knowledge

Q1: Solve for x: x + 5 = 9

A. 3 B. 4 C. 14 D. 45

Q2: Solve for y: 2y = 10

A. 20 B. 12 C. 5 D. 8

Frequently Asked Questions

Q: What does it mean to equate two expressions?
A: It means to set them equal to each other and solve for the unknown variable(s).

Q: When do we use equating?
A: When we want to find the value(s) that make two expressions equal.