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8th grade Math Georgia CRCT Practice Study Guide Packet # 1 GPS Domain Number And Operations ( 13 Questions ) Name: ___________________________________________ Teacher: ____________________________ Period: _____ Completion grade: _________________ * Show WORK on every problem * “Answers Only” will NOT be accepted!!! Geometry ----------------------------------------------------------------------------------------------------------------------------1. Find the two square roots of the number 144. a. 36, –36 c. 11, –11 b. 72, –72 d. 12, –12 ----------------------------------------------------------------------------------------------------------------------------2. A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room? a. 9 tiles c. 40 tiles b. 11 tiles d. 20 tiles ----------------------------------------------------------------------------------------------------------------------------3. The square root a. 102, 104 b. 15, 16 is between two integers. Name the integers. c. 10, 11 d. 25, 26 ----------------------------------------------------------------------------------------------------------------------------4. Classify the number a. irrational as rational or irrational. b. rational ----------------------------------------------------------------------------------------------------------------------------- 5. Evaluate a. –36 b. 1 36 . c. – 1 36 d. 36 6. a. for a = 4, b = 2, c = 8, x = –1, and y = –2. c. –96 Evaluate b. d. ----------------------------------------------------------------------------------------------------------------------------7. Graph the numbers 1 , 1.7, , 2 , and on a number line. Then, order the numbers from least to greatest. a. 0 1 2 3 4 5 6 7 8 9 10 3 4 5 6 7 8 9 10 3 4 5 6 7 8 9 10 3 4 5 6 7 8 9 10 1 , , 2 , , and 1.7 b. 0 1 2 1 , 1.7, 2 , , and c. 0 1 , , 2 , 1.7, and 1 2 d. 0 1 2 , 1 , 2 , 1.7, and ----------------------------------------------------------------------------------------------------------------------------8. Multiply. Write the product as a power. a. b. Cannot combine c. d. 9. a. b. Simplify . c. d. ----------------------------------------------------------------------------------------------------------------------------10. a. b. Divide. Assume that no denominator equals zero. c. d. ----------------------------------------------------------------------------------------------------------------------------11. Write the number 9.91 106 in standard notation. a. 0.0000991 c. 0.00000991 b. 9,910,000 d. 0.000000991 ----------------------------------------------------------------------------------------------------------------------------12. a. b. Write the number 0.000000001 in scientific notation. c. 0 d. 1.0 109 ----------------------------------------------------------------------------------------------------------------------------13. If an average grape weighs 4.87 grams and a company purchases 1,000,000 grapes, how much will the grape shipment weigh in kilograms? Write the answer in scientific notation. a. 4.87 106 kg c. 4.87 103 kg b. d. 0 kg kg