Equivalent Expressions

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication over each addend.

The simplified expression is $$3y + 8$$ .

The simplified expression is $$18y + 12$$ .

Dividing by a number is the same as multiplying by its reciprocal. For example, dividing by 5 is the same as multiplying by $$\frac{1}{5}$$ .

The equivalent expression is $$\frac{1}{5}(20 + 3^2)$$ .

The simplified expression is $$2y + 7$$ .

The simplified expression is $$8y + 12$$ .

$$6 \times \frac{1}{2}$$ .

The simplified expression is $$7u + 28$$ .