What a Rewritten Expression Tells You

Rewrite the expression, then say what the new form reveals.

ExampleA shop takes 20% off every price. The situation can be written as p − 0.20p. Write it in an equivalent, simpler form and say what that form tells you. p − 0.20p = 0.80p. Written this way it shows that the sale price is 80% of the original price — one multiplication instead of a subtraction.

1.A shop takes 20% off every price. The situation can be written as p − 0.20p. Write it in an equivalent, simpler form and say what that form tells you.
2.A rectangle is w wide and 4 longer than it is wide. The situation can be written as 2w + 2(w + 4). Write it in an equivalent, simpler form and say what that form tells you.
3.A membership costs a $30 joining fee plus $12 a month. The situation can be written as 30 + 12m. Write it in an equivalent, simpler form and say what that form tells you.
4.A coat is discounted 25%, then 10% is taken off at the till. The situation can be written as 0.90(0.75c). Write it in an equivalent, simpler form and say what that form tells you.
5.A 5% tax is added to a bill. The situation can be written as b + 0.05b. Write it in an equivalent, simpler form and say what that form tells you.