Lesson 3: Solving Multi-Step Equations

Please go through the following steps to complete Lesson 3.


STEP 1. Watch this short video from Mr H.

STEP 2. Read the following:

In this lesson, you'll learn how to solve multi-step equations. These equations mix two or more operations (for example addition and multiplication). It takes two or more steps to solve them. Such equations have the forms ax +b = c, x/a + b = c, ax = b + cx, and ax + b = cx + d. Here's an example of each type of equation:
  • 3x + 1 = 28 (1 more that 3 times a number is 28) 
  • g/4 + 2 = -7 (A number divided by 4 and increased by 2 is -7) 
  • 6t = 6 + 4t (A number multiplied by 6 is equivalent to 6 more than 4 times the number) 
  • -4p + 3 = p - 7 (4 times a number increased by 3 is equivalent to the number decreased by 7) 
You may notice in the third and fourth examples that the unknown is on both sides of the equal sign. The letter in each equation represents the same value. 

With the added complexity of these equations, we need to follow two or three steps to find the solution.

To succeed in this lesson, correctly solve 5 out of 8 equations on the lesson quiz.



STEP 3. Watch one or more of the following instructional videos on solving multi-step equations.

STEP 4. Make a choice.
Practice solving multi-step equations at Interactive-Maths. Do two sets of questions for practice. Solve the equations on paper, and remember to show all your work!
  • Set 1: Choose Two Step for type, and set yes/no parameters to Yes, No, No, Yes
  • Set 2: Choose Two Step for type, as set yes/no parameters to Yes, No, Yes, Yes
OR...
Practice solving multi-step equations from your textbook. Choose around 20 questions from p 311 #7-12 and p 327 #6-9. Check your answers!

STEP 5. Reflect. How did you do? Do you feel ready for the quiz, or do you need to do more review and practice? For many grade 9 students, a little extra time learning can prove very helpful! As needed, review more instructional videos, try more practice questions, or email me any questions.


STEP 6. Write the Quiz. Answer on paper, then compare your work to the answer key on the bottom of the quiz. If you get at least 5 correct and show the correct steps, you are ready for Lesson 4. If you get less than five correct and/or do not show correct steps to solve, please redo steps 3 to 5. Then retry the quiz.




STEP 7. Please show me with your quiz score and any questions you still have. Remember, quiz results do not count towards your grade, and it's okay to do the quiz more than once.