Solving Linear Equations
8th Grade · Math · 45 min· 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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Learning Objective
I can solve linear equations with one variable that have one solution, no solution and infinite solutions.
- 1
If solving an equation leads to a statement like x = a (where a is a number), the equation has one solution.
- 2
If simplifying an equation results in a false statement like 3 = 5, the equation has no solutions, meaning there is no value of x that can make the equation true.
- 3
If simplifying an equation results in a true statement like 5 = 5 or x = x, the equation has infinite solutions, meaning any value of x will satisfy the equation.
