Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms and performing operations to reduce an expression to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the first step in simplifying the expression 3x + 4 + 5x + 3?

Back

The first step is to combine like terms: 3x and 5x.

Front

What is the simplified form of 3x + 4 + 5x + 3?

Back

The simplified form is 8x + 7.

Front

How do you distribute in the expression 5(y + 6)?

Back

You multiply 5 by each term inside the parentheses: 5y + 30.

Front

What is the simplified form of 5(y + 6) + 4?

Back

The simplified form is 5y + 34.

Front

What is the result of combining 4a + 9 + a?

Back

The result is 5a + 9.

Front

How do you simplify the expression 7 + 3(1 - 2x)?

Back

First, distribute 3: 7 + 3 - 6x, then combine like terms to get 10 - 6x.

Front

What is the simplified form of 6 + 2(7x - 3)?

Back

The simplified form is 14x.

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting coefficients of terms that have the same variable.