Tutor profile: Patricia T.

Should you answer all questions on the ISEE?

Absolutely! There is no penalty for wrong answers on the ISEE so be sure to answer every question, and take a guess if necessary. On each section, be aware of your time and use the last few minutes to mark an answer for every single question.

Evaluate the difference quotient for f(x) = 4x^{2}

frac{f(x +h) - f(x)}{h} = frac{4(x + h)^{2} -4x^{2}}{h} = frac{4(x^{2} +2hx + h^{2}) - 4x^{2}}{h} = frac{4x^{2} + 8hx + 4h^{2} - 4x^{2}}{h} = frac{8hx + 4h^{2}}{h} = 8x + 4h

A customer has 10 coupons. Each coupon offers 10% off the purchase price. There is no restriction as to the number of coupons a customer can use. The customer buys a pair of boots which costs $80. How much will the customer pay if they use all 10 coupons & there is sales tax of 8%?

To figure out the problem algebraically & not have to perform the 10% discount off of the amount 10 times, we can multiply the price of the boots (80.00) by 90% (.90) ten times. We multiply by 90% because it is the same as reducing the price by 10%. x=(80.00)(.90)^{10} (1.08) x=30.13 The customer pays $30.13