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© 3-1 NAME ______________________________________________ DATE ____________ PERIOD _____ 3-1 Skills Practice Practice Translate each sentence into an equation. (Average) Translate each sentence into an equation. 1. Fifty-three plus four times c is as much as 21. 53 4c 21 1. Two added to three times a number m is the same as 18. 3m 2 18 2. Twice a increased by the cube of a equals b. 2a 4. The sum of x and its square is equal to y times z. 2. The sum of five times h and twice g is equal to 23. 5h 2g 23 a3 b 3. Seven less than the sum of p and q is as much as 6. ( p 1 4 3. One fourth the sum of r and ten is identical to r minus 4. (r 10) q) 7 6 x x 2 yz 5. Four times the sum of f and g is identical to six times g. 4(f 4. Three plus the sum of the squares of w and x is 32. 3 (w 2 g ) 6g Translate each sentence into a formula. 6. The perimeter P of a square equals four times the length of a side s. P 4s Translate each sentence into a formula. 5. Degrees Kelvin K equals 273 plus degrees Celsius C. Translate each equation into a verbal sentence. 1 3 8. q (4 p) q A r 2 q minus the sum 1 of 4 and p equals times q. 3 Translate each equation into a verbal sentence. 13. 4(a b) 9a Twice p plus 4 times q is 20. 1 2 Half of the sum of f and y is f minus 5. s squared minus n squared is twice b. Write a problem based on the given information. Glencoe Algebra 1 17. c cost per pound of plain coffee beans c 3 cost per pound of flavored coffee beans 2c (c 3) 21 Sample answer: The cost of two pounds of plain coffee beans plus one pound of flavored beans is $21. How much does 1 pound of plain beans cost? Glencoe/McGraw-Hill Sample answer: The cost of two adult’s tickets and 4 children’s tickets to the zoo is $38. How much is an adult’s ticket? 8 minus 6 times x is 4 plus 2 times x. 16. s2 n2 2b 15. ( f y) f 5 139 Answers 5 11. 2(m n) v 7 Twice the quantity m minus n is v plus 7. 12. a cost of one adult’s ticket to zoo 13. c regular cost of one airline ticket a 4 cost of one children’s ticket to zoo 0.20c amount of 20% promotional discount 2a 4(a 4) 38 3(c 0.20c) 330 14. 8 6x 4 2x 4 times the sum of a and b is 9 times a. © of y squared and x is 18. 3 Two more than of t equals t. Write a problem based on the given information. 12. 2p 4q 20 g plus 10 is the same as 3 times g. 10. 9(y2 x) 18 9 times the sum 3 5 9. t 2 t 18. p cost of dinner 0.15p cost of a 15% tip p 0.15p 23 Sample answer: The cost of dinner plus a 15% tip was $23. How much was the dinner? Glencoe Algebra 1 Sample answer: The cost of three airline tickets that are discounted 20% is $330. What is the regular cost of a ticket? 14. GEOGRAPHY About 15% of all federally-owned land in the 48 contiguous states of the United States is in Nevada. If F represents the area of federally-owned land in these states, and N represents the portion in Nevada, write an equation for this situation. 0.15F N FITNESS For Exercises 15–17, use the following information. Deanna and Pietra each go for walks around a lake a few times per week. Last week, Deanna walked 7 miles more than Pietra. 15. If p represents the number of miles Pietra walked, write an equation that represents the total number of miles T the two girls walked. T p (p 7) 16. If Pietra walked 9 miles during the week, how many miles did Deanna walk? 16 mi 17. If Pietra walked 11 miles during the week, how many miles did the two girls walk together? 29 mi © Glencoe/McGraw-Hill 140 Glencoe Algebra 1 (Lesson 3-1) A3 10. The volume V of a rectangular prism equals the product of the length , the width w, and the height h. V wh C pg 7. The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2. S 180(n 2) Pabc 9. The area A of a circle is pi times the radius r squared. K 273 C 6. The total cost C of gas is the price p per gallon times the number of gallons g. A s2 8. The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c. r4 x 2) 32 Answers 7. The area A of a square is the length of a side s squared. 11. g 10 3g ____________ PERIOD _____ Writing Equations Writing Equations Lesson 3-1 Glencoe/McGraw-Hill NAME ______________________________________________ DATE