An expression is a mathematical phrase that contains numbers, operations, and variables, representing an unknown quantity. A variable is a letter or symbol that represents a number or the product of a number and a variable. Terms separated by an addition or subtraction sign are called expressions.
When Cassidy goes for a run, she runs 3 miles. To describe the number of miles Cassidy runs, we can use the expression 3d, where "d" represents the number of days she runs.
A coefficient is a number used to multiply a variable and comes before the variable. A constant is a number that stays fixed in an expression and does not have variables multiplied by them.
The distributive property states that adding or subtracting two numbers inside parentheses and then multiplying that sum by a number outside the parentheses is equal to first multiplying the number outside the parentheses by each term inside the parentheses and then adding the products together. Factoring is the reverse of the distributive property, where a common factor is pulled out of each term to simplify the expression.
Expressions are simplified if they can be reduced to the same simplest form. Like terms are terms that have the same variable(s) or have no variable. Combining like terms is a way of simplifying expressions so that all like terms are "combined" into one term by adding or subtracting their coefficients.
An inequality is like an equation, but the two sides are not equal (one side is greater than the other). Inequalities can be represented by greater than, less than, greater than or equal to, and less than or equal to.
The Flippin' Inequality Rule states that when dividing or multiplying both sides by a negative coefficient, you must flip the inequality sign to face the other direction.
One can find the area by multiplying the factors. To find the perimeter, you can add the sides. The value of the expression can be evaluated by substituting the value of the variable.
To solve an equation, one needs to find the missing number or variable that makes the equation true. This number is called the solution. Inverse operations are used to undo an operation in an equation.
For example, to solve the equation x+4= -11, we need to subtract 4 from both sides to get the value of x. In another example, to solve 4x = -32, we need to divide both sides by 4 to find the value of x.
