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 distribute a number across a sum in parentheses?

Back

To distribute a number across a sum, multiply the number by each term inside the parentheses. For example, 4(x + 6) becomes 4x + 24.

Front

What is the result of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the equivalent expression for 6(3y - 2y + 7)?

Back

The equivalent expression is 6y + 42.

Front

How do you simplify the expression 6y + 22y + y?

Back

By combining like terms, the expression simplifies to 29y.

Front

What is the process of factoring an expression?

Back

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

Front

What is the equivalent expression for 6(2x - 3)?

Back

The equivalent expression is 12x - 18.

Front

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

Back

By combining like terms, the expression simplifies to 10x + 7.

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 in a sum.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to rewrite it in a more concise form, often by combining like terms and eliminating unnecessary parentheses.