lesson 9 simplify expressions

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, reducing fractions, and performing operations to express the expression in its simplest form.

Front

What are like terms in algebra?

Back

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

Front

How do you combine like terms in the expression 3x^2 - x + 7 + 5x + 2 - 2x^2?

Back

Combine like terms by grouping them: (3x^2 - 2x^2) + (-x + 5x) + (7 + 2) = x^2 + 4x + 9.

Front

What is the simplified form of the expression 3m - 15 + 2m - 4?

Back

The simplified form is 5m - 19.

Front

How do you simplify the expression 4x^2 - 3x + 11 - 2x?

Back

Combine like terms: 4x^2 + (-3x - 2x) + 11 = 4x^2 - 5x + 11.

Front

What is the result of simplifying the expression 2x^2 - 7x + 10 - x^2?

Back

The result is x^2 - 7x + 10.

Front

How do you distribute in the expression 8h + 7(2 + 4h)?

Back

Distribute 7 to both terms inside the parentheses: 8h + 7*2 + 7*4h = 8h + 14 + 28h.

Front

What is the final simplified form of the expression 8h + 7(2 + 4h)?

Back

The final simplified form is 36h + 14.

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 further calculations.

Front

What does it mean to reduce a fraction in algebra?

Back

Reducing a fraction means simplifying it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.