🔢 Algebra

    Algebra Practice Questions

    Master linear equations, quadratic equations, factoring, and simplification with solved examples.

    What is Algebra?

    Algebra is the branch of mathematics that uses symbols and letters to represent numbers and quantities in formulas and equations. It forms the foundation for higher mathematics including calculus, statistics, and applied sciences.

    Key Algebra Concepts

    • Variables and constants
    • Linear equations in one and two variables
    • Quadratic equations and factoring
    • Algebraic identities and expressions
    • Polynomials and their operations
    Easy

    Solve for x: 2x + 5 = 15

    Answer: x = 5

    Easy

    What is the value of x in 3x − 7 = 14?

    Answer: x = 7

    Easy

    Simplify: 4x + 3x − 2x

    Answer: 5x

    Medium

    Solve: x² − 5x + 6 = 0

    Answer: x = 2 or x = 3

    Easy

    Solve: 5x − 3 = 2x + 9

    Answer: x = 4

    Easy

    Evaluate 3x + 2y when x = 4 and y = 5.

    Answer: 22

    Medium

    Expand: (2x + 3)²

    Answer: 4x² + 12x + 9

    Easy

    Factor: x² − 9

    Answer: (x − 3)(x + 3)

    Easy

    What is the slope of the line y = 3x + 2?

    Answer: 3

    Easy

    What is the y-intercept of y = 2x − 4?

    Answer: −4

    Medium

    Solve the system: x + y = 7 and x − y = 3.

    Answer: x = 5, y = 2

    Easy

    Simplify: 2a + 3b + 5a − b

    Answer: 7a + 2b

    Easy

    What is log₁₀(100)?

    Answer: 2

    Easy

    What is log₁₀(1000)?

    Answer: 3

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