Subject: Mathematics
Book: Maths Mastery
Solving linear equations with one variable is a foundational algebraic skill. These typically appear in the form ax + b = c, where x is the variable to solve for. The key steps involve isolating x by reversing operations in a structured manner: subtract or add constants from both sides, then multiply or divide by the coefficient. For example, in 3x + 4 = 16, subtract 4 from both sides to get 3x = 12, then divide by 3 to find x = 4. Linear equations model numerous real-life situations, such as budgeting daily expenses, calculating distances, and analyzing rates. Proficiency with them paves the way for advanced mathematics like systems of equations and polynomials.
The area of an equilateral triangle with side length 6 cm is:
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionWhat is the square root of 144?
View QuestionIf x² - 9x + 18 = 0, what are the roots of the equation?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionWhat is the cube root of 729?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
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