Solving Equations With Variables On Both Sides Worksheets PDF

Solve a linear equation with variables on both sides, such as 9x - 4 = 8x + 2.

Apply the distributive property before combining like terms when a side of the equation is in parentheses, such as 2x + 1 = 3(x - 13).

Verify a proposed solution by substituting it back into the original equation and checking whether both sides are equal.

Select the correct solution from a set of plausible distractor answers rather than only generating one from scratch.

Assign Set A and B before Set C and D, since the answer-bank format offers a self-checking scaffold that the later sets remove.

Use Set C explicitly to practice solution-checking as its own skill, separate from solving, since students must justify why a given answer is right or wrong.

Point out that Set B's answer bank includes extra choices that are never used, so students can't just eliminate down to the last remaining letter.

Use the fully worked answer key to model one problem from each set before students begin, since the four sets require different response formats.

Solving equations with variables on both sides — students collect variable terms and constants across both sides, as in 9x - 4 = 8x + 2.

Applying the distributive property — students expand expressions like 3(x - 13) or -2(x - 3) before solving.

Solution verification — in Set C, students substitute a given proposed answer back into the equation to judge whether it is correct or incorrect.

Answer-bank matching under distractors — in Set B, students select the correct solution from six choices when not all will be used.