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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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For more information, please see full course syllabus of Algebra 1
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  • Practice Questions

  • Download Lecture Slides

  • Table of Contents

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Multiplication & Division Techniques

  • If both sides of an inequality are multiplied or divided by the same positive number, the resulting inequality has the same solutions as the original one.
  • If both sides of an inequality are multiplied or divided by the same negative number, the direction of the resulting inequality must be reversed. The new inequality has the same solutions as the original one.

Multiplication & Division Techniques

12x < 24
x < 2
[m/3] > 11
m > 33
- [k/6] ≤ − 4
  • - 6( − [k/6] ) ≤ − 4( − 6)
k ≥ 24
- [i/5] > − 8
i < 40
− 30 > − 6n
  • [( − 30)/( − 6)] < [( − 6n)/( − 6)]
5 < n
- 18 < - 9e
2 > e
− 7w ≤ − 35
w ≥ 5
- 6p > - 72
p < 12
- [r/12] < - 4
  • r > - 4( - 12)
r > 48
- [a/13] ≥ − 3
  • a ≥ − 3( − 13)
a ≥ 39n

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Multiplication & Division Techniques

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Fundamental Principle 0:10
    • Only Positive Numbers
    • Example
  • Fundamental Principle, Cont. 2:01
    • Negative Numbers
    • Reverse Inequality Sign
    • Example
  • Example 1: Solve the Inequality 4:26
  • Example 2: Solve the Inequality 5:45
  • Example 3: Solve the Inequality 6:50
  • Example 4: Solve the Inequality 8:28