Linear equation — fractions?
Clear denominators before solving.
Solve linear equations — variables?
Isolate the variable on one side.
Hard linear problems — steps?
Distribute, combine, then isolate.
Perimeter problem — formula?
Perimeter = 2(length + width).
Word problem — dimensions?
Translate words into equations for length and width.
Cost word problem — setup?
Express total cost as start + rate×units.
Integer problem — variables?
Use whole numbers, set equations for sums.
Fraction equations — key step?
Multiply through by least common denominator.
Variables on both sides — fix?
Move all x-terms to one side.
Word problem — check?
Verify dimensions or totals satisfy original conditions.
Answer 10 questions on Mastering Linear Equations and Word Problems.
1. Why is it useful to combine like terms before solving an equation such as ax+b=cx+d?
2. If a rectangle’s length is 3 cm more than twice its width, which equation models that relationship?
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