Solving Linear Expressions and Equations

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

x = 1.5 and x = -1.

The solutions are x = -4 and x = 8.

Distributing means to multiply a term by each term inside a set of parentheses.

The result is $$-5y - 20$$ .

Distribute the -4 to both terms inside the parentheses.

The simplified form is $$14x - 4$$ .

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.