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 11
Expand and simplify: (2x - 3)(x + 4)
Expand and simplify: (x - 3)2
Expand and simplify: (x + 5)2
Factorize the expression: x2 - 9.
Given the expression 2x2 + 7x + 3, factorize it completely.
Given the expression 4x2 - 25, factorize it completely.
Given the expression 5(x - 2) + 3x, what is its simplified form?
If f(x) = 2x + 1, what is f(x + 3)?
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 a correct transformation of 2(x + 3) - 4x? (1) 2x + 6 - 4x (2) 2x + 3 - 4x (3) 2x + 6 + 4x (4) 2x - 6 - 4x
Which of the following is equivalent to 2(x + y) - 3(x - y)? (1) -x + 5y (2) 5x - y (3) -x - y (4) 5x + y
Which of the following is the 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)
Fill in the blank: The distributive law states that a(b + c) = __________.
Fill in the blank: The expression (a - b)2 expands to __________.
Fill in the blank: The expression (a + b + c)2 expands to a2 + b2 + c2 + 2ab + 2ac + __________.
Fill in the blank: The expression (a + b)(a - b) expands to __________.
Is the expression x2 + 4x + 4 a perfect square trinomial? (Yes/No)
True or False: The expression (x + 1)(x - 1) is equivalent to x2 - 1.
True or False: The expression (x + 2)2 expands to x2 + 4x + 4.
True or False: The expression 2(x + 5) is equivalent to 2x + 10.
