14. The quotient of t and forty is the same as twelve minus half of s. 16. The sum of one-third a number and 25 is as much as twice the number.

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1 Lesson -1 p. 74-7, Translate each sentence into an equation. (See Example 1 and Study Tip on page 70.) 1. The sum of twice r and three times s is identical to thirteen. 14. The quotient of t and forty is the same as twelve minus half of s. 1. Two hundred minus three times a number is equal to nine. 16. The sum of one-third a number and is as much as twice the number. 17. The square of m minus the cube of n is sixteen. 18. Two times z is equal to two times the sum of v and w. 19. GEOGRAPHY The Pacific Ocean covers about 46% of Earth. If P represents the area of the Pacific Ocean and E represents the area of Earth, write an equation for this situation. 0. GARDENING Mrs. Patton is planning to place a fence around her vegetable garden. The fencing costs $1.7 per yard. She buys f yards of fencing and pays $.0 in tax. If the total cost is $7.0, write an equation to represent this situation. Translate each sentence into an equation. (See Example on page 7.). The area A of a parallelogram is the base b times the height h. Glencoe Algebra 1 Page 1 of 16

2 4. The volume V of a pyramid is one-third times the product of the area of the base B time its height h.. The perimeter P of a parallelogram is twice the sum of the lengths of the two adjacent sides, a and b. 6. The volume V of a cylinder equals the product of, the square of the radius r of the base, and the height. Translate each equation into a verbal sentence. (See Example 4 on page 7.) 7. d f 6 19 Glencoe Algebra 1 Page of 16

3 Lesson - p. 8 Solve each equation. Check your solution. (See Ex. 1 and Key Concept on p. 79 and Ex. and Ex. on p. 80.) 1. v t d p z c n k f u. 4 r w Glencoe Algebra 1 Page of 16

4 . 1 a y Write an equation for each problem. Then solve the equation and check your solution. (See Ex. 4 and Study Tip on p. 80.) 7. Eighteen subtracted from a number equals 1. Find the number. 8. What number decreased by 77 equals 18? Write an equation for each problem. Then solve the equation and check your solution. 9. A number increased by 16 is 1. Find the number. 0. The sum of a number and 4 is 10. What is the number? For Exercises 1, write an equation for each situation. Then solve the equation. (See Ex. on p. 81.) 1. GAS MILEAGE A midsize car with a 4-cylinder engine goes 4 miles on a gallon of gasoline. This is 10 miles more than a luxury car with an 8-cylinder engine goes on a gallon of gasoline. How many miles more does a luxury car travel on a gallon of gasoline? Glencoe Algebra 1 Page 4 of 16

5 Lesson - p Solve each equation. Check your solution. (See Example 1 on page 8 and Example on page 86.) x b c y n g p 1. x 1. 6 n. z 4 4. g 4 1 v. 4 Glencoe Algebra 1 Page of 16

6 8. 8d t 0. r 1. 6s. 8 9h. 6a 64 Write an equation for each problem. Then solve the equation. (See Ex. and Study Tip on p. 87.) 4. Seven times a number equals 84. What is the number?. Two fifths of a number equals 4. Find the number. 6. Negative 117 is nine times a number. Find the number. 7. Twelve is one fifth of a number. What is the number? Glencoe Algebra 1 Page 6 of 16

7 Lesson -4 p. 9 Solve each equation. Check your solution. (See Example 1 on page 9 and Example on page 9.) 11. n c a 14. 7g 14 6 a 1. 7 c y t r m Glencoe Algebra 1 Page 7 of 16

8 1. 14 d 6 17 s Write an equation and solve each problem. (See Example and Study Tip on page 9.). Six less than two thirds of a number is negative ten. Find the number. 4. Twenty-nine is thirteen added to four times a number. What is the number?. Find three consecutive odd integers with a sum of Find three consecutive even integers with a sum of 0. Glencoe Algebra 1 Page 8 of 16

9 Lesson -A p. 101 Solve each equation. Check your solution. (See Example 1 on page 98 and Example on page 99.) 11. k 7k 1 1. t 9 t s 9 7s q 10q n 16 n y y c 1 c m c 0. 7 m 7 Glencoe Algebra 1 Page 9 of 16

10 r x a 1 10 a 4. w w 1. One half of a number increased by 16 is four less than two thirds of the number. Find the number. 6. The sum of one half of a number and 6 equals one third of the number. What is the number? 7. Two less than one third of a number equals more than one fourth of the number. Find the number. Glencoe Algebra 1 Page 10 of 16

11 Solve each equation. Check your solution. 8. Two times a number plus 6 is three less than one fifth of the number. What is the number? 9. NUMBER THEORY Twice the greater of two consecutive odd integers is 1 less than three times the lesser number. Find the integers. 0. NUMBER THEORY Three times the greatest of three consecutive even integers exceeds twice the least by 8. What are the integers? Glencoe Algebra 1 Page 11 of 16

12 Lesson -B p Solve each equation. Check your solution. (See Example on page 99.) f 4 f. y y 4 y. 1 d d 4. n 0. 1n 0 Glencoe Algebra 1 Page 1 of 16

13 Lesson -6 p. 109 Determine whether each pair of ratios forms a proportion. Write yes or no. (See Example 1 and Study Tip on page 10 and Example, Key Concept, and Study Tip on page 106.) 9., , , , , ,.6.4 Solve each proportion. If necessary, round to the nearest hundredth. (See Example on page 107.) 1. 4 x y 1 6 x n a b 1. w t n 4..4 s n 6. 7 z Glencoe Algebra 1 Page 1 of 16

14 For exercises 7 and 8, see Ex. 4 and Study Tip on page WORK Jun earns $1 in 4 days. At that rate, how many days will it take him to earn $? 8. DRIVING Lanette drove 48 miles in 4 hours. At that rate, how long will it take her to drive an additional 9 miles? For exercises 9 and 0, see Ex. on page MODELS A collector s model racecar is scaled so that 1 inch on the model equals 1 6 feet on the actual car. If the model is inch high, how high is the actual car? 4 0. GEOGRAPHY On a map of Illinois, the distance between Chicago and Algonquin is. centimeters. If centimeters = 40 kilometers, what is the approximate distance between the two cities? Glencoe Algebra 1 Page 14 of 16

15 Lesson -7 p State whether each percent of change is a percent of increase or a percent of decrease. Then find each percent of change. Round to the nearest whole percent. (See Example 1 on page 111.) 10. original: original: new: 70 new: original: 8 1. original: 1.7 new: 1 new: 40. For exercise 18, see Example on page EDUCATION According to the Census Bureau, the average income of a person with a high school diploma is $7,1. The income of a person with a bachelor s degree is about 7% higher. What is the average income of a person with a bachelor s degree? Find the total price of each item. (See Example on page 11.) 0. umbrella: $ backpack: $.00. candle: $7.0 tax:.% tax: 7% tax:.7%. hat: $ clock radio: $9.99. sandals: $9.99 tax: 6.% tax: 6.7% tax:.7% Glencoe Algebra 1 Page 1 of 16

16 Find the discounted price of each item. (See Example 4 on page 11.) 6. shirt: $ socks: $ watch: $7. discount: 40% discount: 0% discount: % 9. gloves: $4, 0. suit: $ coat: $79.99 discount: % discount: 4% discount: 0% Glencoe Algebra 1 Page 16 of 16

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