Algebra Chapter 1.1-1.4

The numeric coefficient is the number that multiplies the variable in a term. For example, in the term $$7x^2$$ , the numeric coefficient is 7.

Substituting the values: $$2(3)^2 - 4 = 2(9) - 4 = 18 - 4 = 14$$ .

There are 3 terms in the expression: $$3x$$ , $$4y$$ , and $$-5$$ .

Using the order of operations: $$6 - 6 + 4 = 0 + 4 = 4$$ .

The equation is $$2y - 3 = 11$$ . Solving gives $$2y = 14$$ , so $$y = 7$$ .

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, $$3x + 2$$ is an algebraic expression.

A term is a single mathematical expression that can be a number, a variable, or a combination of both multiplied together. For example, $$5x$$ and $$-3$$ are both terms.

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

A variable is a symbol (usually a letter) that represents an unknown value. For example, in $$x + 5 = 10$$ , $$x$$ is the variable.

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.