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 simplify the expression 12x - 16?

Back

You can factor it as 4(3x - 4).

Front

What is the process of combining like terms?

Back

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

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Simplify the expression 3x + 3(2x - 7).

Back

The simplified expression is 9x - 21.

Front

What is the result of the expression 4(2x - 5) + 6x?

Back

The result is 14x - 20.

Front

How do you solve the expression 3x + 4x + 6(x - 3) + 4?

Back

The solution is 13x - 14.

Front

What is the equivalent expression for 10x - 16?

Back

An equivalent expression is 8(2x - 2) - 6x.

Front

What is a variable in an expression?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters like x or y.