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# 2Algebraic Reasoning

### Algebraic Reasoning

TermDefinition
algebraic expression a mathematical phrase that has at least one variable, and it can contain numbers and operation symbols.
constraint a condition that a solution or problem must satisfy. It can be a restriction set in advance of solving a problem or a limit placed on a solution or graph so the answer makes sense in terms of a real-world scenario.
equation a mathematical sentence that uses an equals sign to show that two quantities are the same as one another.
inequality any mathematical sentence that has an inequality symbol.
inverse operations pairs of operations that reverse the effects of each other.
isolate the variable in an equation, perform an operation, or operations, to get the variable by itself on one side of the equals sign.
linear expression any expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.
literal equation an equation in which the variables represent specific measures. Examples A=LW d=rt
to solve an inequality to determine the values of the variable that make the inequality true.
two-step equation requires that two inverse operations be performed in order to isolate the variable.
bar model use rectangular bars to represent known and unknown quantities.
coefficient A number that is multiplied by a variable in an algebraic expression.
dependent quantity the quantity that depends on another in a problem situation.
double number line a model that is made up of two number lines used together to represent the ratio between two quantities.
equivalent expressions Two algebraic expressions, when any values are substituted for variables, the results are equal.
graph of an inequality is the set of all points on a number line that make the inequality true.
independent quantity the quantity the dependent quantity depends on.
like terms two or more terms that have the same variable raised to the same power.
reciprocal also known as the multiplicative inverse of the number. (See multiplicative inverse.)
solution set The set of all points that make an inequality true.
term a number, variable, or product of numbers and variables.
variable a letter or symbol that is used to represent a number.
Created by: hms112