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.
If a:b = 7:9 and b:c = 5:6, what is a:c?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionIf x:y = 2:3 and z:y = 4:3, what is x:z?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionIf a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionWhat is the sum of the first 20 odd numbers?
View Question