Equivalent expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

What is the result of combining the like terms in the expression 3x + 5 + 7x + 2?

Back

The result is 10x + 7.

Front

How do you simplify the expression 4(x + 6)?

Back

Using the distributive property, you multiply 4 by both x and 6, resulting in 4x + 24.

Front

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

Back

The simplified form is 12x - 18, obtained by distributing 6 to both terms inside the parentheses.

Front

What are like terms in the expression 3a^2 + 6a + 5a^2?

Back

The like terms are 3a^2 and 5a^2, which can be combined to form 8a^2.

Front

What is the simplified expression for 15x + 10 - 6x - 1?

Back

The simplified expression is 9x + 9, obtained by combining like terms.

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations and understand relationships between variables.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help in simplifying or solving equations.