Module 3 Lesson 3 Remediation

1
Multiple Step Inequalities

• Go from
• 7x 4 gt 3x 12
• To
• x gt -4

2

• Using More Than One Step
• Solve 7 6a gt 19. Check the solution.
• 7 6a gt 19
• -7 - 7 Isolate 6a by
  subtracting 7
• 6a gt 12
• a gt 2 Divide each side by 6. a is by
  itself

3
Using the Distributive Property

• Solve 2(t 2) 3t -1.
• 2(t 2) 3t -1 Distribute the 2 to t
  2
• 2t 4 3t -1 Combine 2t and -3t the
  like terms.
• -t 4 -1
• - 4 -4 Subtract 4 from
  each side.
• -t -5 Divide each side
  by 1 and switch the t 5
  inequality sign.

4
Solving Inequalities with Variables on Both Sides

• Gathering Variables on One Side of an Inequality.
• Solve 6z 15 lt 4z 11.
• 6z 15 lt 4z 11
• -4z -4z Move the smaller z term
  by subtracting 4z
• 2z 15 lt 11
• 15 15 Isolate 2z by adding 15
• 2z lt 26 Divide both sides by 2 so z
  is by itself.
• z lt 13

5
Multi-Step Inequalities

• Solve -3(4 m) 4 (2m 1).
• -3(4 m) 4 (2m 1)
• -12 3m 8m 4 Distribute 3 and 4
  on each side
• - 8m - 8m Move the m terms
  both to the left side.
• -12 5m 4
• 12 12 Add 12 to isolate 5m
• -5m 16

Divide both sides by 5. Switch the inequality
since 5 is negative.
Change fraction to a mixed number.
6
Practice!!!!

• Click on this link to try a worksheet with
  unlimited problems
• Bottomless Worksheet
• Play Rags to Riches (who wants to be a million
  style) and win 1,000,000 (pretend)
• Rags to Riches