Q.4

One, None, or Infinitely Many Solutions

Q2 · Dec–Feb

Decide whether a linear equation has one solution, no solution, or infinitely many.

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 One, None, or Infinitely Many Solutions Skill Q.4 \cdot Multi-step equations \cdot ★★☆ Medium \cdot Quarter 2 Name Date Score / 8 Scan for answers Write one solution (and give it), no solution, or infinitely many solutions. Example 2 (x + 3) = 2 x + 6 2 x + 6 = 2 x + 6 : infinitely many solutions Think: If the variable drops out and what is left is always true, every number is a solution. If what is left is false, like 6 = 5, there is no solution. 1 6 x - 42 - 12 x = - 6 x - 42 2 3 (p + 5) = - 9 (p + 2) + 9 3 7 y + 20 = 2 y - 5 4 3 (k - 2) = 3 k - 6 5 4 (n + 6) = 4 n + 24 6 5 (w + 2) = 5 w + 10 7 - n + 8 - 3 n = - 4 n + 8 8 3 (x + 3) = 3 x Daniel Math Academy \cdot danielmath.com Worksheet # 3p44j8z \cdot Page 1 / 2 Daniel Math Academy \cdot Grade 8 Math Answer Key Q.4 One, None, or Infinitely Many Solutions \cdot ★★☆ Medium 1 infinitely many solutions 2 one solution: p = - 2 3 one solution: y = - 5 4 infinitely many solutions 5 infinitely many solutions 6 infinitely many solutions 7 infinitely many solutions 8 no solution Daniel Math Academy \cdot danielmath.com Worksheet # 3p44j8z \cdot Answer Key \cdot Page 2 / 2

Q. Multi-step equations6 skills