Questions and Answers
What is the solution to the equation $2X + 5 = 15$?
X = 5
What is the solution to the equation $X/3 - 7 = 5$?
X = 36
Whatever you do to one side of the equation, you must do to the other side.
True
What are inverse operations?
Signup and view all the answers
What is the solution to the equation $5X + 7 = 42$?
Signup and view all the answers
Study Notes
Solving Algebraic Equations
-
To solve the equation 2X + 5 = 15, subtract 5 from both sides to obtain 2X = 10, then divide by 2, yielding X = 5.
-
In the equation X/3 - 7 = 5, first add 7 to both sides which results in X/3 = 12; multiplying both sides by 3 gives the solution X = 36.
-
The principle of maintaining balance in equations states that whatever you do to one side of the equation, you must do to the other side to keep the equation valid.
-
Inverse operations are fundamental in algebra; they are pairs of operations that reverse each other, such as:
- Addition is undone by subtraction
- Multiplication is undone by division
-
For the equation 5X + 7 = 42, begin by subtracting 7 from both sides resulting in 5X = 35; then, divide by 5 to find X = 7 as the solution.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Improve your algebra skills with these flashcards focused on solving algebraic equations. Each card presents a different equation and guides you through the steps to find the solution. Perfect for students looking to sharpen their math knowledge.
