What grade is simplifying expressions taught in?

It's typically introduced in Grade 6-7 as the algebra strand begins, right before students start solving equations in Grade 7-8. Grade 8 extends it to adding binomials with negative terms.

What are 'like terms'?

Terms that share the same variable part, 3x and 5x are like terms and can combine to 8x, but 3x and 5 cannot.

Simplifying Expressions · Grades 6–8

Simplifying Expressions Worksheets

Combining like terms and applying the distributive property, the two core moves for rewriting algebraic expressions in their simplest form, before students move on to solving equations. Grade 8 adds a third: adding two binomials with integer terms.

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What it is

Simplifying an expression means rewriting it in a shorter, equivalent form, either by combining like terms (terms with the same variable), by using the distributive property to remove brackets, or by adding two binomials together term by term.

Why it matters

Simplifying is the algebra skill everything else depends on: solving equations, factoring, and graphing all require a student to first rewrite an expression cleanly. Getting it automatic here removes a source of errors everywhere else.

How to do it

If there are brackets, multiply the number outside by every term inside.
Group terms with the same variable together, and group the plain numbers together.
Add or subtract each group to get the simplified expression.

Examples by level

Beginner1x + 1x + 8 − 5 =2x + 3
Intermediate2(6x + 4) =12x + 8
Advanced2x + 8x + 11 + 3 =10x + 14

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

Combining terms that don't share the same variable (adding 3x and 5 as if they were like terms).
Forgetting to distribute to every term inside the brackets, not just the first one.
Dropping or flipping a negative sign when regrouping terms, especially with negative binomial coefficients.

Tips

Only combine terms that have the exact same variable, 3x and 5 can't be combined.
The sign in front of a term belongs to that term when you move it around.
When adding two binomials, add the x-terms to each other and the constants to each other, keeping every sign.

For parents

Have your child underline or color-code matching terms before combining them, it turns an abstract rule into a visual sorting task.

For teachers

Introduce combining like terms in isolation before layering in the distributive property; mixing both from day one is where most errors start.

Key vocabulary

like terms: terms with the same variable raised to the same power
distributive property: multiplying a number by each term inside brackets: a(b + c) = ab + ac
binomial: an expression with two terms, like 3x + 5

Frequently asked questions

What grade is simplifying expressions taught in?: It's typically introduced in Grade 6-7 as the algebra strand begins, right before students start solving equations in Grade 7-8. Grade 8 extends it to adding binomials with negative terms.
What are 'like terms'?: Terms that share the same variable part, 3x and 5x are like terms and can combine to 8x, but 3x and 5 cannot.

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