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 12
Expand and simplify: (2x + 3)(x - 4).
Expand and simplify: (x - 4)(x + 5).
Factorize the expression: x2 - 9.
Factorize the expression: x2 + 5x + 6.
Factorize: 2x2 - 8x.
Given the expression 3x2 + 12x, factor out the greatest common factor.
Given the expression 4x2 - 25, write it as a product of two binomials.
Given the expression 6x2 - 27, factor it completely.
Which of the following is a correct factorization of 6x2 + 11x + 3? (1) (2x + 3)(3x + 1) (2) (6x + 1)(x + 3) (3) (3x + 1)(2x + 3) (4) (2x + 1)(3x + 3)
Which of the following is NOT a valid transformation of the expression 2(x + 3)? (1) 2x + 6 (2) x + 3 + x + 3 (3) 2x + 3 (4) x + x + 6
Which of the following is the correct expansion of (a - b)2? (1) a2 - 2ab + b2 (2) a2 + 2ab + b2 (3) a2 - b2 (4) a2 + b2
Which of the following is the correct factorization of x2 - 6x + 9? (1) (x - 3)(x + 3) (2) (x - 3)(x - 3) (3) (x + 3)(x + 3) (4) (x - 6)(x + 1)
Fill in the blank: The distributive law states that a(b + c) = ________.
Fill in the blank: The expression (a + b)(a - b) is called the ________ of squares.
Fill in the blank: The expression (x + y)2 expands to x2 + 2xy + ________.
Fill in the blank: The expression x2 - 16 can be written as (x + 4) ________.
Is the expression (x + 2)2 equivalent to x2 + 4?
Is the expression (x + 5)2 equivalent to x2 + 10x + 25?
Is the expression 2(x + 3) + 4 equivalent to 2x + 10?
True or False: The expression (a + b)(a - b) simplifies to a2 - b2.
