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Mathematics > Course Model Mathematics I (Integrated Pathway) > Reasoning with Equations and Inequalities
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Reasoning with Equations and Inequalities

Cluster - Solve equations and inequalities in one variable.

[MI.A-REI.B.3] - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Resources:


  • Coefficient
    Any of the factors of a product considered in relation to a specific factor.
  • 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.

Predecessor Standards:

  • 8.EE.C.7.a
    Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
  • 8.EE.C.7.b
    Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions with integer exponents.*
  • 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 .
  • MI.A-REI.A.1
    Explain each step in solving a simple linear equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify or refute a solution method.
  • MII.F-BF.B.4.a
    Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.