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

Simplify the expression: 3x + 5 + 7x + 2

Back

10x + 7

Front

Simplify the expression: 3a² + 6a + 5a²

Back

8a² + 6a

Front

Simplify the expression: z + z² + 1

Back

1 + z + z²

Front

Simplify the expression: 6(2x - 3)

Back

12x - 18

Front

Simplify the expression: 6(3y - 2y + 7)

Back

6y + 42

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract 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 is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, representing how many times the variable is multiplied.