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 9
Combine like terms: 2a + 3b - a + 4b.
Describe how to factorize the expression x2 + 7x + 10.
Describe the process of expanding (a + b)(a - b).
Expand and simplify: (x - 5)(x + 2).
Expand and simplify: (y + 5)2.
Expand and simplify: 2(x + 3) - (x - 4).
Expand the expression (x + 3)(x - 2).
Expand: (2x - 3)(x + 4).
Which of the following is a correct factorization of 4x2 - 9? (1) (2x + 3)(2x - 3) (2) (x + 3)(x - 3) (3) (2x + 9)(2x - 9) (4) (4x + 9)(4x - 9)
Which of the following is a correct transformation of 2(x + 3) + 4x? (1) 2x + 6 + 4x (2) 2x + 3 + 4x (3) 2x + 4x + 3 (4) 2x + 4x + 6
Which of the following is a like term to 5x? (1) 3x (2) 2y (3) 7 (4) x2
Which of the following is NOT a transformation of algebraic expressions? (1) Expanding (2) Factoring (3) Simplifying (4) Graphing
Fill in the blank: The distributive property states that a(b + c) = ________.
Fill in the blank: The expression (a + b)(a - b) simplifies to a2 - ________.
Fill in the blank: The expression (x + 1)(x + 2) expands to x2 + ________x + 2.
Fill in the blank: The expression (x + 3)2 expands to x2 + ________x + 9.
True or False: The expression (x + 2)(x - 2) simplifies to x2 - 4.
True or False: The expression (x + 4)2 expands to x2 + 8x + 16.
True or False: The expression 2(x + 5) is equivalent to 2x + 10.
True or False: The expression 3(x + 2) - 2x is equivalent to x + 6.
