Simplifying Expressions - 7th Grade Math

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, which are terms that have the same variable raised to the same power, and performing any arithmetic operations.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3d and 5d are like terms, while 3d and 4d^2 are not.

Front

How do you combine like terms in the expression 7d + 5 + 6d - 2?

Back

To combine like terms, add the coefficients of the like terms: 7d + 6d = 13d. Then, combine the constant terms: 5 - 2 = 3. The simplified expression is 13d + 3.

Front

What is the simplified form of the expression 9 - z + 3 - 2z?

Back

The simplified form is -3z + 12 or 12 - 3z, obtained by combining like terms: -z - 2z = -3z and 9 + 3 = 12.

Front

How do you simplify the expression 7k + 9 + 4k - 3?

Back

Combine like terms: 7k + 4k = 11k and 9 - 3 = 6. The simplified expression is 11k + 6 or 6 + 11k.

Front

What is the result of simplifying -m + 3 + 7m - 1?

Back

Combine like terms: -m + 7m = 6m and 3 - 1 = 2. The simplified expression is 6m + 2 or 2 + 6m.

Front

How do you simplify the expression 5 - t + 3t + 2?

Back

Combine like terms: -t + 3t = 2t and 5 + 2 = 7. The simplified expression is 2t + 7 or 7 + 2t.

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations, understand relationships between variables, and perform calculations more efficiently.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in the term 5d, 5 is the coefficient of d.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 4, the number 4 is a constant.