Critical Thinking: Applying logical reasoning to solve linear equations and interpret their implications in real-world scenarios.
Responsibility: Utilizing mathematical skills responsibly to model and analyze situations, making informed decisions.
Adaptive Perseverance: Persisting through challenges in solving equations and exploring multiple methods to find solutions.
What steps are involved in solving linear equations, and why do they work?
How do linear equations represent real-world situations, and how can we interpret their solutions?
In what ways can solving linear equations help us predict outcomes and make informed decisions?
CCSS.MATH.CONTENT.HSA.REI.B.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
CCSS.MATH.CONTENT.8.EE.C.7: Solve linear equations in one variable.
CCSS.MATH.CONTENT.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).
CCSS.MATH.CONTENT.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.
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