Algebraic Expressions Flashcards
What is an algebraic expression?
An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols.
True or False: The expression 3x + 5 is an algebraic expression.
True
Fill in the blank: In the expression 4x^2 + 3x - 7, the coefficient of x^2 is ____.
4
What is the degree of the polynomial 5x^3 + 2x^2 - x + 4?
3
Which of the following is a like term of 3x? A) 4y B) 5x C) 2xy D) 7
B) 5x
Simplify the expression: 2(x + 3) + 4.
2x + 10
What is the constant term in the expression 7x - 4?
-4
True or False: The expression 2x^2 + 3x + 5 is a quadratic expression.
True
What is the result of combining like terms in the expression 5x + 3x - 2?
8x - 2
If a = 3, what is the value of the expression 2a + 5?
11
What is the leading coefficient of the polynomial 4x^4 - 2x^3 + x?
4
Which operation is performed first in the expression 3 + 2 * (x - 1)?
Multiplication
Fill in the blank: The expression 5xy + 2y - 3x has ____ terms.
3
What is the difference between a monomial and a polynomial?
A monomial has one term, while a polynomial has two or more terms.
True or False: The expression 0.5x^2 + 3x - 1 is a quadratic expression.
True
What is the simplified form of the expression x^2 - 4x + 4?
(x - 2)^2
What do we call the highest power of a variable in a polynomial?
Degree
If b = -2, what is the value of the expression 3b^2 + 4b + 1?
3
Which of the following is NOT an algebraic expression? A) 5x + 3 B) 7 C) 4xy - 2 D) 2 + 3 = 5
D) 2 + 3 = 5
What is the result of evaluating the expression 2x^2 - 3x + 1 for x = 1?
0
Fill in the blank: The expression 6xy^2 + 3x - 4y has ____ variables.
2
True or False: The expression 7x - 2y + 5 is a linear expression.
True
What is the sum of the coefficients in the polynomial 2x^3 + 4x^2 - x + 6?
11
What type of expression is 9x^2 - 16?
Quadratic expression
Which operation does the distributive property apply to?
Multiplication over addition or subtraction
