What you’ll learn
Interpret algebraic expressions.
Key idea
An outside multiplier applies to the complete grouped quantity, not only its variable term.
Worked example
Classify examples and non-examples for the concept 'Interpret algebraic expressions'.
Does 3(x+9) mean '3 times x, then add 9'? Classify while respecting the grouping.
- The parentheses group x+9 as one quantity.
- Multiplying the whole group gives 3x+27, not 3x+9.
Answer: Non-example — multiply the entire sum x+9 by 3.
Quick Check
Classify examples and non-examples for the concept 'Interpret algebraic expressions'.
Does 7(x+1) mean '7 times the sum of x and 1'? Classify while respecting the grouping.