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Name: __________________________________ Period: ______________ 8th Grade Test Review Directions: For the following numbers, tell if the number is rational or irrational. 1) 4) 3.5421….. __________________________ 1 ___________________________________ 9 5) 25 ________________________________ 2) 17 ________________________________ 3) 5.63 ________________________________ 6) 22 __________________________________ 7) Which real number is an integer but not a whole number? a) 12 c) -3.2 b) -9 d) 15 8) Circle all of the real numbers that are not integers. a) 3 4 b) 0.23 Directions: Find each square root. 9) 9 _____________________________ c) 7.2 d) 3,416 10) 196 __________________________ 11) Richard bought a bag of lawn fertilizer that will cover 64 square feet. What are the dimensions of the largest square plotof lawn that the bag of fertilizer will cover? 12) A cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters. What are the dimensions of the envelope? Name: __________________________________ Period: ______________ Directions: Find 2 consecutive integers between which each square root lies. 13) 44 _________________________ 15) 13 _________________________ 14) 107 _______________________ 59 _________________________ Directions: Use a calculator to find the square root of the following numbers. Round the answer to the nearest hundredth. 17) 19 _________________________ 16) 18) 73 _________________________ Directions: Write each number in scientific notation. 19) 0.00000621 20) 1,760,000 21) The worlds population is about 7,000,120,000. How is 7,000,120,000 written in scientific notation? Directions: Write each number in standard form. 23) 9.32 105 22) 2.2110 4 24) Last year, over 6.17 10 7 people visited the most popular shopping site on the internet. How is 6.17 10 7 written in standard form? Directions: Compare the numbers using <, >, or =. 26) 6.72 103 ________ 9.22 105 25) 5.223106 _________2.371108 Name: __________________________________ Period: ______________ 28) 6.321107 ________ 7.891107 27) 5.22 1012 ________5.22 1012 29) The following table shows the highest points of elevation in six U.S. states. States’ Highest Points State Altitude (Feet) Hawaii 1.3796 10 4 Utah 1.3528 10 4 Oklahoma 4.97310 3 Wyoming 1.3804 10 4 Alaska 2.032 10 4 Ohio 1.549 10 3 Write the states in order from lowest to highest point of elevation. Directions: Evaluate the following problems. 30) 3.33107 6.21107 31) 5.21103 2.13103 32) 4.21105 7.94 105 33) 3.81109 9.12109 Name: __________________________________ Period: ______________ 34) 6.43106 1.39103 35) 9.31103 3.79105 36) 7.83103 6.29106 37) 8.53108 5.28103 Directions: Use order of operations to solve the following problems. 38) 2 3 12 2 1 36 39) 18 3 5 23 64 41) 36 2 3 12 4 2 40) 32 2 30 55 41) The middle school team scored 3 field goals worth 3 points each and 2 touchdowns with each extra points worth 7 points each. Write a numerical expression to find the team’s score. Then evaluate the expression. Name: __________________________________ Period: ______________ Directions: Round each number. 42) Round 257 to the nearest ten. ______________________ 43) Round 1,231 to the nearest hundred. _______________________ 44) Round 4.567 to the nearest hundredth. _________________________ 45) Round 4.133 to the nearest whole number. _____________________ 46) Round 5.281 to the nearest tenth. _____________________ Directions: Round to the nearest whole number. 47) 5 7 ____________________ 9 49) 14 2 __________________ 5 48) 6 8 ___________________ 19 50) 28 5 _________________ 11