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2Algebraic Reasoning
Algebraic Reasoning
Term | Definition |
---|---|
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. |