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Find the value of the expression 1.8 + 0.6. A. 2.6 B. 2.4 C. 2.2 D. 1.4 Find the value of the expression 72 ÷ 4. A. 16 B. 17 C. 18 D. 19 A. B. C. D. A B C D You have already performed mathematical operations. (Previous Course) • Translate verbal phrases into numerical expressions. • Use the order of operations to evaluate expressions. • numerical expression • a mathematical statement that has numbers and mathematical symbols without an equal sign Translate Phrases into Expressions A. Write a numerical expression for the verbal phrase eighteen marbles divided equally among six friends. Phrase the quotient of 18 and 6 Expression 18 ÷ 6 Answer: 18 ÷ 6 Translate Phrases into Expressions B. Write a numerical expression for the verbal phrase the total number of photos if there are nine photos in the camera plus four more. Phrase the sum of 9 and 4 Expression 9+4 Answer: 9 + 4 A. Write a numerical expression for the verbal phrase twenty dollars divided equally among five brothers. A. 5 ÷ 20 B. 20 ÷ 5 0% B A 0% A B C 0% D D D. 20 ÷ 4 C C. 4 ÷ 20 A. B. C. 0% D. B. Write a numerical expression for the verbal phrase the total number of DVDs if Sue has eight and gets five more. A. 8 + 5 B. 8 + 13 0% B A 0% A B C 0% D D D. 13 – 5 C C. 5 + 13 A. B. C. 0% D. Another way to remember this is PEMDAS!!! Evaluate Expressions A. Evaluate the expression 17 + 36 ÷ 9. 17 + 36 ÷ 9 = 17 + 4 We Divided 36 and 9 21 We Added 17 and 4 Answer: 21 Evaluate Expressions B. Evaluate the expression 24 ÷ 8 • 3. 24 ÷ 8 • 3 = 3•3 We divided 24 and 8 9 We multiplied 3 and 3 Answer: 9 Evaluate Expressions C. Evaluate the expression 5(4 + 6) – 7 ● 7. 5(4 + 6) – 7 • 7 5(10) – 7 • 7 We added 4 and 6 50 – 7 • 7 We multiplied 5 and 10 50 – 49 We multiplied 7 and 7 1 Answer: 1 Evaluate Expressions D. Evaluate the expression 3[(18 – 6) + 2(4)]. 3[(18 – 6) + 2(4)] 3[12 + 2(4)] We subtracted 18 – 6 3[12 + 8] We multiplied 2 and 4 3[20] We added 12 and 8 60 We multiplied 3 and 20 Answer: 60 Evaluate Expressions E. Evaluate the expression Treat the top and the bottom like parenthesis We added 49 and 31 We subtracted 19 and 14 We divided 80 and 5 Answer: 16 B. Evaluate the expression 63 ÷ 7 + 2. A. 7 B. 10 C. 8 D. 11 A. B. C. D. A B C D C. Evaluate the expression 3(12 – 10) + 14 ÷ 2. A. 13 B. 20 C. 33 D. 10 A. B. C. D. A B C D D. Evaluate the expression 4[(3 + 8) – 2(4)]. A. 16 B. 12 C. 144 D. 36 A. B. C. D. A B C D E. Evaluate the expression A. B. C. D. A. B. C. D. A B C D Write Expressions to Solve Problems EARNINGS Madison earns an allowance of $5 per week. She also earns $8 per hour babysitting, and usually babysits 6 hours each week. Write and evaluate an expression for the total amount of money she earns in one week. Then make a table showing what she will earn if she babysits 7, 8, and 9 hours a week. Understand You know how much Madison earns for her allowance. You need to find how much she earns for babysitting if she babysits for 6, 7, 8, and 9 hours a week. Write Expressions to Solve Problems Plan Write an expression to find the amount she earns from babysitting for each number of hours. Organize the results in a table. Solve First write an expression for babysitting 6 hours. Write Expressions to Solve Problems 5 + 8 × 6 = 5 + 48 = 53 Multiply. Add. Answer: Madison will earn $53 in one week if she babysits for 6 hours. Make a table for 7, 8, and 9 hours. Write Expressions to Solve Problems Check Look at the pattern in the earnings. As the number of hours increase by 1, the earnings increase by $8. SHOPPING The Good Price Grocery Store advertises a special on 2-liter bottles of soft drinks. The first bottle purchased is $1.50 and each bottle after that is $1.20. Write and evaluate an expression for the total cost when 8 bottles are purchased. A. 1.50 + 8(1.20) = $11.10 B. 1.50 + 7(1.20) = $9.90 C. 2 + 1.50 + 1.20 + 8 = $12.70 D. 1.20 + 7(1.50) = $11.70 A. B. C. D. A B C D