4.03 Simplifying algebraic expressions

Lesson

Ideas

We simplify algebraic expressions following the same order of operations as for numeric expressions. That is,

Simplify the expression 4s+9\times 5s.

Worked Solution

Create a strategy

Use the order of operations.

Apply the idea

\displaystyle 4s+9\times 5s	\displaystyle =	\displaystyle 4s+45s	Evaluate the multiplication
	\displaystyle =	\displaystyle 49s	Evaluate the addition

Simplify the expression 12s-8s\div 4.

Worked Solution

Create a strategy

Use the order of operations.

Apply the idea

\displaystyle 12s-8s\div 4	\displaystyle =	\displaystyle 12s-2s	Divide -8s by 4
	\displaystyle =	\displaystyle 10s	Evaluate the subtraction

Idea summary

We simplify algebraic expressions following the same order of operations as for numeric expressions:

operates with positive-integer and zero indices of numerical bases