IM Algebra I: Unit 2 Vocabulary

A mathematical or statistical representation of a problem from science, technology, engineering, work, or everyday life, used to solve problems and make decisions.

• model

• slope

• constraint

• triangle

Answer explanation

A model is a mathematical or statistical representation of a problem from science, technology, engineering, work, or everyday life, used to solve problems and make decisions.

A limitation on the possible values of variables in a mode, often expressed by an equation or inequality or by specifying that the value must be an integer.

• constraint

• model

• constant of proportionality

• representation

Answer explanation

A constraint is a limitation on the possible values of variables in a mode, often expressed by an equation or inequality or by specifying that the value must be an integer.

For example, distance above the ground, d, in meters, might be constrained to be non-negative, expressed by d is greater than or equal to 0.

Equations that have the exact same solutions.

• equivalent equations

• expressions

• constraint

• ratios

Answer explanation

Equations that have the exact same solutions are equivalent equations.

Two or more equations that represent the constraints in the same situation form this.

Answer explanation

Two or more equations that represent the constraints in the same situation form a system of equations.

A coordinate pair that makes both equations in the system true.

• solution to a system of equations

• expression

• constant of proportionality

• rate of change

Answer explanation

A coordinate pair that makes both equations in the system true is called a solution to a system of equations.

On the graph shown of the equations in a system, the solution is the point where the graphs intersect. In this system, the solution is (2,3).

Replacing a variable with an expression it is equal to.

Answer explanation

Substitution is replacing a variable with an expression it is equal to.

A method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables.

Answer explanation

Elimination is a method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables (thus eliminating the other variable).

Two systems are this if they share the exact same solution set.

• equivalent systems

• negative

• parallel

• perpendicular

Answer explanation

Two systems are equivalent if they share the exact same solution set.

Two or more inequalities that represent the constraints in the same situation.

• system of inequalities

• system of equations

• equations

• expressions

Answer explanation

Two or more inequalities that represent the constraints in the same situation form a system of inequalities.

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

• solutions to a system of inequalities

• system of inequalities

• system of equations

• variables

Answer explanation

Solutions to a system of inequalities are all pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.