(1) What are the factors of the expression (y-2)(x+3)?
(2)Explain the Error: A student wrote that there are two terms in the expression 3p-(7-4q). Explain the student's error.
(3) Chris buys p pair of pants and 4 more shirts than pairs of pants. Shirts cost $18 each and pair of pants cost $25 each. What does each term in the expression 25p+18(p+4) represent? What does the entire expression represent?
Now: Write an algebraic expression to model the Given context. Give your answer in the simplest form.
(1) the price s of a pair of shoes plus 5% sales tax.
(2) the original price p of an item less a discount of 20%
(3) the price h of a recently bought house plus 10% property tax
(4) the principal amount P originally deposited in a bank account plus 0.3% interest
1. The linear factors are (y -2) and (x + 3)
2. There are three terms : 3p, 7 and 4q
3. 25p the total cost of the pants
18(p + 4) the total cost of the shirts
The whole expression reprents the total cost of all the clothing purchased
(1) p(1 + .05) = 1.05P
(2) p(1 - .20) = .80P
(3) h(1 + .10) = 1.10h
(4) P(1 + .003) = 1.003P