Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 6 chapters and video availability01 · Read and understand
What you will learn
- Use a shared variable unit to simplify an expression.
- Explain your method and check what the result means in the stated situation.
Before you start
Fraction and decimal operations, whole-number factors, measurement units, and reading simple tables.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
Simplify 4x + 3 + 2x + 5.
Why this math matters
Think of like terms as counts of the same algebraic unit. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.
Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.
Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Combine terms with the same variable part
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Simplify 4x + 3 + 2x + 5.
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
Variable terms: 4x + 2x = 6x
Four x-sized groups plus two x-sized groups make six.
Connect the parts
Constants: 3 + 5 = 8
Combine terms with no variable separately.
State and check the result
6x + 8
This expression gives the same value as the original for every allowed x.
The result
6x + 8
This expression gives the same value as the original for every allowed x.
Common mistakes to catch
- Constants and variable terms are not like terms.
- Carry subtraction signs with their terms.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
Simplify 7y + 2 − 3y.
Show a hint
Combine the y-counts and keep the constant.
Reveal answer and explanation
4y + 2
Seven y-groups minus three leaves four y-groups.
Practice 2
Can 3x + 4 be simplified to 7x?
Show a hint
The four has no x factor.
Reveal answer and explanation
No
Only quantities with matching variable parts combine that way.
Take the idea with you
Think of like terms as counts of the same algebraic unit.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Explain and reverse distribution
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