Name________________________________Block__________Date_______________ Exponents, Perfect Squares, Square Roots, Order of Operations Math 6 Unit 3 Test Study Guide – (SOL 6.5) Write each power as a product of the same factor. 1) 96 ________________________ 2) 34 ________________________ Write each product in exponential form. 3) 2•2•2•2•2•2 ________________________ 4) 13 ________________________ Evaluate each power. 5) 63 ________________________ 6) 142 ________________________ 7) 40 ________________________ 8) How do you know the answer for 1250 ? Explain. ______________________________________________________________________________ 9) 100 = _____ 101 = _______ 102 = _______ 103 = ________ 104 = __________ 105 = ____________ 106 = ______________ 107 = ________________ 108 = ______________ 109 = ________________ 1010 = ______________________ 10) How do you know the answer for 1020 ? Explain. ______________________________________________________________________________ Identify each part: 11) Write all the ways can you say the following: 12) 43 ____________________________________________________________________ 13) 32 ___________________________________________________________________ Find the square of each number. 14) 8 ________________________ 15) 5 ________________________ Find each square root. 16) 49 ________________________ 17) 9 ________________________ Find the value of each expression. You must SHOW ALL WORK to receive credit. 18) 2(8 – 3) – 7 ________________________ 19) 15 ÷ 5 • 4 + 3 – 1 ________________________ 20) (14– 8) • 6 ________________________ 21) 33 – 3 ÷ 12 ________________________ 22) 48 ÷ (12 + 4) • 7 ________________________ 23) 6 + 2 • 20 ________________________ 24) 8÷4•5 ________________________ 25) 9 + (4 + 16 ÷ 8)2 ________________________ Circle the number that is NOT a perfect square. 26) 2 9 16 25 81 27) Below is the work from a student’s test. Find the mistake and give the correct answer. Step 1: 14 + 3(7 – 2) – 2 • 5 Step 2: 14 + 3(5) – 2 • 5 Step 3: 17(5) – 2 • 5 Step 4: 85 – 2 • 5 Step 5: 85 – 10 Step 6: 75 What is the mistake? _______________________________________________ What is the correct answer? _______________________________________________ 28)