Algebraic Expressions
Math ⇒ Algebra
Algebraic Expressions starts at 6 and continues till grade 12.
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See sample questions for grade 12
Expand and simplify: (2x - 5)(x + 3).
Expand: (x + 1)3.
Factor completely: x2 - 9.
Given the context: The area of a rectangle is represented by the expression 2x2 + 5x. If the length is x, what is the expression for the width?
If 2x + 3y = 12, express x in terms of y.
If a polynomial is divided by (x - 2) and the remainder is 5, what is the value of the polynomial at x = 2?
If a polynomial is of degree 5, what is the highest possible degree of its product with a quadratic polynomial?
If f(x) = 2x2 - 3x + 1, find f(-2).
Given the context: The area of a rectangle is represented by the expression 2x2 + 5x. If the length is x, what is the expression for the width?
Which of the following expressions is a binomial?
(1) x2 + 2x + 1
(2) 3x
(3) x - 5
(4) 2x2y2
Which of the following is a monomial?
(1) 5x3
(2) 2x + 1
(3) x2 - 4x
(4) 3x/y
Which of the following is a polynomial expression?
(1) 3x2 + 2x - 5
(2) 2/x + 7
(3) √x + 4
(4) x-1 + 6
Which of the following is a rational algebraic expression?
(1) x2 + 1
(2) (x + 1)/(x - 2)
(3) √x + 3
(4) x3 - 4
The degree of the algebraic expression 7x4y2 - 3x2y + 5 is _______.
The product of (x + 4) and (x - 4) is _______.
The sum of 3x2 - 2x + 7 and 5x2 + 4x - 3 is _______.
State whether the following statement is true or false: The sum of two polynomials is always a polynomial.
True or False: The expression (x + 2)2 is equivalent to x2 + 4.
True or False: The expression (x + y)2 = x2 + y2.
True or False: The expression 2x2 + 3x - 7 is quadratic.
