Suitable for Grades: Algebra I, IM 1
CCSS: 8.EE.C.7, HSA.REI.B.3
CCSS Description: Solve linear equations in one variable. 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). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
This worksheet follows on from Solving Linear Equations (B), but provides equations involving parentheses. Section A presents equations in the form a(bx+c)=d. Section B extends on section A by including division of fractions in the equations. Section C then provides questions with the unknown on both sides and a set of parentheses on one side. Section D then extends this to question with two sets of parentheses with unknowns on one side or both sides of the equations.