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Mathematics | Grade : 8
Domain - Expressions and Equations
Cluster - Analyze and solve linear equations and pairs of simultaneous linear equations.
[8.EE.C.8.c] - Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
- Linear equation
Any equation that can be written in the form Ax + By + C = 0 where A and B cannot both be 0. The graph of such an equation is a line. - Variable
A quantity that can change or that may take on different values. Refers to the letter or symbol representing such a quantity in an expression, equation, inequality, or matrix.
[AI.A-CED.A.2] -
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
[AI.A-CED.A.3] -
Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.* For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
[AI.A-CED.A.4] -
Rearrange formulas to highlight a quantity of interest using the same reasoning as in solving equations (Properties of equality).* For example, rearrange Ohm’s law R=V2/P to solve for voltage, V. Manipulate variables in formulas used in financial contexts such as for simple interest, I=Prt.
[MI.A-CED.A.2] -
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
[MI.A-CED.A.3] -
Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.* For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
[MI.A-CED.A.4] -
Rearrange formulas to highlight a quantity of interest, using the same reasoning (Properties of equality) as in solving equations.* For example, rearrange Ohm’s law, V = IR, to solve for resistance, R. Manipulate variables in formulas used in financial contexts such as for simple interest, I=Prt .