Transformations of Algebraic Expressions
Math ⇒ Algebra
Transformations of Algebraic Expressions starts at 8 and continues till grade 12.
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See sample questions for grade 10
Describe how to factor a quadratic expression of the form ax² + bx + c.
Describe the difference between expanding and factoring an algebraic expression.
Describe the process of completing the square for the quadratic expression x² + 6x + 5.
Expand and simplify: (3x + 2)(x - 4).
Expand and simplify: (x - 3)(x + 7).
Expand and simplify: (x + 2)(x - 5).
Expand the expression: (x - 4)².
Expand: (2x + 3)².
Which of the following expressions is equivalent to 5(x - 2) + 3x? (1) 8x - 2 (2) 8x - 10 (3) 5x - 10 + 3x (4) 5x - 2 + 3x
Which of the following is a correct factorization of x² + 5x + 6? (1) (x + 2)(x + 3) (2) (x - 2)(x - 3) (3) (x + 1)(x + 6) (4) (x - 1)(x - 6)
Which of the following is the correct factorization of 2x² + 7x + 3? (1) (2x + 1)(x + 3) (2) (2x + 3)(x + 1) (3) (x + 1)(x + 3) (4) (2x + 1)(x + 2)
Which of the following is the correct factorization of 4x² - 25? (1) (2x + 5)(2x - 5) (2) (x + 5)(x - 5) (3) (4x + 5)(x - 5) (4) (2x + 25)(2x - 1)
Fill in the blank: The distributive property states that a(b + c) = ________.
Fill in the blank: The expression (a + b)(a - b) simplifies to ________.
Fill in the blank: The expression (x - 5)² expands to x² - ________x + 25.
Fill in the blank: The expression (x + 4)² expands to x² + ________x + 16.
True or False: The expression (x + 1)(x - 1) is equivalent to x² - 1.
True or False: The expression (x + 2)² is equal to x² + 4.
True or False: The expression (x + 5)(x - 2) expands to x² + 3x - 10.
True or False: The expression 2(x + 5) is equivalent to 2x + 10.
