Algebra, equations, and inequalities - Intro to Algebra
15 important questions on Algebra, equations, and inequalities - Intro to Algebra
What is a variable (how is it defined)?
What is a constant (how is it defined)?
What is a term (how is it defined)?
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What is a coefficient (how is it defined)?
Do expressions have equal signs why or why not?
How do monomials, binomials, trinomials and polynomials differ/relate to each other?
Monomial: expression with exactly 1 term.
Binomial: expression with exactly 2 terms.
Trinomial: expression with exactly 3 terms.
Polynomial: expression with any number of terms involving only one variable.
Of the following 2 expressions, explain why either is a polynomial or not.
Expression 1: x^2 + 4x - 21
Expression 2: a^2 + b^2 -c^2
But only the first is an example of a polynomial because a polynomial has only 1 variable (first expression's variable: x).
The 2nd expression has 3 variables.
What is a linear term (example)?
What is an example of a quadratic term?
What is an example of a cubic term?
Identify the following expression: 17x (make sure you understand why).
Identify the following expression: 14x^2 (make sure you understand why).
Identify the following expression: 2x^2 + 8x
(make sure you understand why).
Identify the following expression: x2 - 10x + 25 (make sure you understand why).
Please identify the coefficient of the linear term of this expression: x2 - 10x + 25
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