For questions 1 and 2, simplify the expression. Then, identify the terms, constants, and coefficients of the simplified expression.
1. 8x2 - 3x + 6x2 + 5x - 9
2. 5(2x + 4) + 3x
For question 3, translate the verbal expression to an algebraic expression. Then, identify the terms, constants, and coefficients.
3. The product of three and x, added to 4
4. Explain what the expression 7(3x) does not equal 21x, but (5*2)x does equal 10x.
5. A bank account balance for an account with an initial deposit of P dollars eans interest at an annual rate of r. The amount of money in the account after n years is described using the following expression: P(1+r)n. What effect does increasing the value of r have on the amount of money after n years?
6. A cell phone company bills on a monthly basis. Each bill includes a $19.95 service fee (which includes 500 minutes), a $3.95 tax, and a $0.15 per minute fee for each minute over the first 500 minutes. Write an expression that describes the cost of a month's bill. Then, tell how the expression would change if the service fee were reduced.