M4.8.1 For the adult
Harder linear equations
How do I solve 3(x + 2) = 2(x + 5), with a bracket on both sides?
What this chapter teaches
The number outside a bracket multiplies every term inside it. A fraction line is cleared by multiplying both sides by the number below it. Each step does the same thing to both sides, like a level balance.
Three questions to ask
There is no one right wording. Listen for the idea.
- What is 4(x − 1), and why is the 1 multiplied as well?
- How do you clear the 3 in (x + 2)/3 = 5, and what must you multiply?
- How can you check that an answer for x is right?
After the chapter, the learner can
- Solve equations with brackets on both sides
- Solve equations with fractions, like (x + 2)/3 = 5
What they copy into their notebook
Open a bracket by multiplying every term inside it. Clear a fraction by multiplying both sides by the number below it. Do the same to both sides.