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, 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, meaning you can distribute a factor across a sum.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

What is the first step in simplifying an expression?

Back

The first step is to combine like terms.

Front

What is the result of combining 3a^2 + 5a^2?

Back

The result is 8a^2.

Front

How do you express 'twice the quantity of 11 less than k'?

Back

It is expressed as 2(k - 11).

Front

What is the equivalent expression for 36x + 24?

Back

The equivalent expression is 12(3x + 2).

Front

What is the equivalent expression for z + z^2 + 1?

Back

The equivalent expression is 1 + z + z^2.

Front

What does the expression 2(r + y) simplify to?

Back

It simplifies to 2r + 2y.