Equivalent Expressions

Front

What is an equivalent expression?

Back

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

Front

How do you combine like terms in an expression?

Back

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

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 parenthesis.

Front

What is the result of combining the terms 3x and 6x?

Back

The result is 9x, as you add the coefficients (3 + 6) to get 9.

Front

How do you simplify the expression 9 - 6 + 7x - 2x + 3?

Back

Combine like terms: (7x - 2x) + (9 - 6 + 3) = 5x + 6.

Front

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

Back

First, apply the distributive property: 4 * 5x + 4 * 3 - 4x = 20x + 12 - 4x.

Front

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

Back

The simplified form is 16x + 12 after combining like terms.

Front

How do you simplify the expression 2(-18x - 12)?

Back

Use the distributive property: 2 * -18x + 2 * -12 = -36x - 24.

Front

What is the equivalent expression for 5(4x + 3)?

Back

The equivalent expression is 20x + 15, obtained by distributing 5 to both terms.

Front

What does it mean for two expressions to be not equivalent?

Back

Two expressions are not equivalent if they do not yield the same value for at least one value of the variable(s).