20/20 Linear Equations 6.9

This comprehensive learning tool integrates Coaching Calculators, Practice exercises, and a Step-by-Step Guide to support students in mastering linear equations.

The Coaching Calculators cover various types of linear equations, including one-step, two-step, and multi-step equations, as well as those involving parentheses, decimals, and fractions:

• One-step: x − 2 = 3, x/7 = 2
• Two-step: 3x + 8 = 20, 2 = 5 − 6x
• Multi-step: 4 + 9x = 2x − 18
• Parentheses: 2(3 − 4x) = 2x + 9
• Decimals: 0.25x + 1.5 = 9.9 − 0.2x
• Fractions: (1/2)x − 5 = 3x + 1/5

The practice component expands on these types, including more complex equations with parentheses and fractions such as:

• 10 − 3(2 − 3(x + 5)) = 2x + 9
• (1/2)(2x − 5) = 3x + 3/4

Students demonstrate rapid progress by working through the Coaching Calculators and Practice exercises, which guide them through each step of the solution process.

The accompanying Step-by-Step Guide offers numerous worked examples that clarify and simplify algebraic concepts that students typically find challenging.