R.2

Inequalities with Variables on Both Sides

Q2 · Dec–Feb

Solve inequalities like 5x − 3 < 2x + 9 by collecting the variable on one side.

Level

Medium

Level

Problems

Show exampleInclude answer key

@page { size: letter; margin: 0; } @media print { .ws-page + .ws-page { break-before: page; } } Daniel Math Academy \cdot Grade 8 Math Inequalities with Variables on Both Sides Skill R.2 \cdot Multi-step inequalities \cdot ★★☆ Medium \cdot Quarter 2 Name Date Score / 8 Scan for answers Solve each inequality. Example 5 x - 3 < 2 x + 9 3 x < 12, so x < 4 Think: Collect the variable terms on one side. If the coefficient left is negative, dividing by it flips the sign. 1 - 18 - 4 k < - k 2 4 n - 11 \leq 5 - 4 n 3 9 n - 11 \leq - 2 n - 77 4 4 p - 20 \leq 8 p - 28 5 - p - 20 > - 6 p + 15 6 - 7 x - 13 > - 16 - 8 x 7 p - 9 \leq - 5 p - 15 8 2 - 4 y \leq 9 y - 24 Daniel Math Academy \cdot danielmath.com Worksheet # mdtkvjx \cdot Page 1 / 2 Daniel Math Academy \cdot Grade 8 Math Answer Key R.2 Inequalities with Variables on Both Sides \cdot ★★☆ Medium 1 k > - 6 2 n \leq 2 3 n \leq - 6 4 p \geq 2 5 p > 7 6 x > - 3 7 p \leq - 1 8 y \geq 2 Daniel Math Academy \cdot danielmath.com Worksheet # mdtkvjx \cdot Answer Key \cdot Page 2 / 2

R. Multi-step inequalities4 skills