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4y² + 3y²

Add like terms
for 6th grade

Simplify expressions by adding algebraic like terms such as a + a or b² + 3b² or 5c³ + 3c³

Adding like terms

When we talk about "like terms" in algebra, we are referring to terms that have the same variable(s) raised to the same power(s).

For example, 3x and 5x are like terms because they both have the same variable x raised to the same first power. Similarly, 2y² and 7y² are like terms because they both have the variable y raised to the second power. We have a topic about like and unlike terms.

To add like terms, you simply add the coefficients (the numbers in front of the variables) while keeping the variable and its exponent the same.

For example, to add 3x and 5x, you would add the coefficients 3 and 5 to get 8, and then write the result including the variable.

3x + 4x = 8x

Similarly, to add 3a³ and 4a³, you would add the coefficients 3 and 4 to get 7, and then write the result including the variable and the exponent.

3a³ + 4a³ = 7a³


Related topics

Below is a table showing the first 7 question answer pairs for the topic "Add like terms" as used in the lessons for this topic. Our games and tests for the topic use these 7 items plus 9 additional question answer pairs.

The topic "Add like terms" is in the category Algebra for 6th grade (ages 11 to 12).

1 / 7
Y + Y = 2Y
Y + Y
2Y
2 / 7
B + B + B = 3B
B + B + B
3B
3 / 7
3X + X = 4X
3X + X
4X
4 / 7
3E + 2E = 5E
3E + 2E
5E
5 / 7
B² + B² = 2B²
B² + B²
2B²
6 / 7
3X² + 3X² = 6X²
3X² + 3X²
6X²
7 / 7
5C³ + C³ + 2C³ = 8C³
5C³ + C³ + 2C³
8C³

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Each of our math topics for secondary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.


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