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Study Guide ANSWERS ANSWERS to 1-5 1) 44 2) a3 •• 3) 125 *Remember 53= 5 5 5 *Exponents mean repeated multiplication. BaseExponent 4) 36 +16 = 52 23 • 5 2 2•2•2 • 5• 5 5) c • 8 25 200 ANSWERS to 6-9 6. h + d – e 7. d – h + e – 5 9 + 11- 3 8. 2f + fg 11 – 9 + 3 – 5 20 – 3 2(2) + 2(18) 7(8) – 15 4 + 2(18) 56 - 15 2+3–5 17 9. 7(8) – x 5-5 4 + 36 0 40 Rewrite Problem Use Substitution Follow Order of Operations 41 ANSWERS are underlined. Study words that mean different math operations. Product multiply 11. Which expression represents “the product of 7 and a number increased by 2” Increased by Add a) 7n + 2 b) 7 + n + 2 c) 7 𝑛 +2 d) 7 + n - 2 12. Which expression represents “the sum of 14 and a number decreased by three” a) 14n -3 b) 14 + n + 3 c) 14𝑛 + 3 d) (14+ n) -3 SumAdd Decreased by subtract Study Guide ANSWERS Translate the statements below to algebraic expressions- variables, numbers and math operations Answers: 13. 12 more than a number 13) X + 12 14. The quotient of a number and 9 14) 15. 15 less than a number 15) 𝑥 9 Remember the word than makes you reverse that order. 𝑜𝑟 x÷ 9 x - 15 Translate the algebraic expressions below to statements 16. 23f Possible Answers: *Remember a number beside a Variable means multiply. The product of 23 and f or Twenty-three times a number Use Order of Operations. 18. 84 + (2 • 6) + 52 17. 2 + 3 • 4 P 19. (50 ·2) - 2(6 • 5) 100 - 2(6 • 5) Parenthesis Exponents 100- 2(30) Parenthesis Add 100- 60 Multiply 2 + 12 Multiply 84 + 12 + 52 P 14 84 + 12 + 25 96 + 25 arenthesis E MD Add AS 121 Add 40 Subtract 20. Use the formula V= s3 to find the Volume of a cube with a side Answer: . length of 8 inches. V= s3 Write formula V= 83 Substitute for variable V = 8•8•8 Use order of operations 21. The Expression 50 + 8n can be used to find the total price for n people V= 84• 8 to go to a Family Oktoberfest. Determine the cost for 4o people to attend V = 512 inches cubed the Oktoberfest. 4x + 2 Algebraic Expression. 50 + 8n write expression Vocabulary: 50 + 8• 40 Substitute value for variable. Coefficient – number you multiply variable by (in front of) 4 50 + 320 Constant- number that is by itself (can be + or -) 370 use order of operations to solve is the cost for 40 people Variable- a letter +2 x Term- parts of an Algebraic Expression Two 4x and +2