NORTHERN ZAMBALES COLLEGE, INC. Inhobol, Masinloc, Zambales Basic Education Department/SHS GENERAL MATHEMATICS LONG QUIZ Name: _________________________________ Date: ______________ Grade and Section: ______________________ Score: _____________ I. MULTIPLE CHOICE Direction: Read and understand the questions carefully. Encircle the letter of the correct answer. 1. In converting degree temperature, what is the formula to convert degree Fahrenheit to Celsius? a. T(°F) = T(°C) x 9⁄5 + 32 c. T(°F) = T(°C) x 9⁄5 − 32 b. T(°C) = (T(°F)− 32) x 5⁄9 d. T(°C) = (T(°F)+ 32) x 5⁄9 2. If 68°F is 10°C, what is 122°F to degree Celsius? a. 50°C c. 78°C b. 100°C d. 180°C 3 3. What is the inverse function of 𝑓(𝑥) = 𝑥 − 1? 3 a. 𝑓 −1 (𝑥) = 𝑥 + 3 c. 𝑓 −1 (𝑥) = √𝑥 + 1 −1 (𝑥) 3 b. 𝑓 = −3 d. 𝑓 −1 (𝑥) = √𝑥 − 1 4. What is the inverse function of 𝑓(𝑥) = 3 − 2𝑥 ? 2−𝑥 3+𝑥 a. 𝑓 −1 (𝑥) = c. 𝑓 −1 (𝑥) = b. 𝑓 −1 (𝑥) = 3 2+𝑥 3 d. 𝑓 −1 (𝑥) = 2 3−𝑥 2 5. Using formula T(°C) = (T(°F)− 32) x 5⁄9 where °F = − 28, find °C of an inverse function. a. °C=33.33 c. °C=33.23 b. °C= − 33.33 d. °C= − 33.23 II. IDENTFICATION Direction: Distinguish whether the given is an EXPONENTIAL FUNTION, an EXPONENTIAL EQUATION, an EXPONENTIAL INEQUALITY, or NONE OF THESE. 1) 42𝑥+7 = 16𝑥 _________________________ 2) 𝑓(𝑥) = 25𝑥 _________________________ 3) 6 2+5 ≥3 𝑥+1 1 _________________________ 4) 𝑓(𝑥) = 𝑥 −2 _________________________ 5) 𝑦 = 81𝑥 _________________________ III. MATCHING TYPE Directions: Match Column A with Column B by writing the letter of the correct answer on the blank before each number in column A. COLUMN A 1) 3𝑥−3 = 9 2) 5−𝑥 = 625 1 2𝑥−3 3) (27) COLUMN B A.𝑥 = 6 B. 𝑥 ≤ 2 • 243𝑥 = 27 C.𝑥 = 5 1 2𝑥−1 D 𝑥 ≤ 2⁄5 E. 𝑥 = 4 F. 𝑥 = −5 4) 8𝑥−1 ≤ (2) 5) 73𝑥+4 ≤ 492𝑥+1 IV. PROBLEM SOLVING (5 pts. each item for a complete solution). Directions: Solve the following problems. Use the available space for your solution. 1. Ms. Justine invested P10, 000.00 at 3% compounded continuously. How much will you have from this investment after 4 years? 2. After8 years, Ms. Pia paid a total amount of P110, 135.75 as payment for her loan amounting to P80, 000. Find the rate of interest of the investment. Express your answer to the nearest percent. 3. Ms. Sarah invested P10, 000.00 at 10% compounded quarterly. How much will you have from this investment after 4 years? “GOODLUCK” Prepared by: SHS Mathematics Teachers