Chapter Homework Support Pages Algebra 1H -A1 Writing Equations Pages 7-7 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. 1. 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 6% 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 11
. 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 on page 7.) 7. d 1 8. f 6 19 9. k 17 j 0. a 7a b 1 1. p p 1. w w Glencoe Algebra 1 Page of 11
-A Solving Equations by Using Addition and Subtraction Page 8 Solve each equation. Check your solution. (See Example 1 and Key Concept on page 79 and Example and Example on page 80.) 1. 18 f 91. 88 1 u Check:. r. 9 w Check:. 1 a 6. 8 7 10 y Check: Write an equation for each problem. Then solve the equation and check your solution. (See Example and Study Tip on page 80.) 7. Eighteen subtracted from a number equals 1. Find the number. 8. What number decreased by 77 equals 18? (cont. on next page) Glencoe Algebra 1 Page of 11
p. 88-89 Solve each equation. Check your solution. (See Example 1 on page 8 and Example on page 86.) b 1. 11 7. z 1 17. y 8 v. 19. g 6 9. 6 1t 1. 1 x 1. 6s. 6a 6 Write an equation for each problem. Then solve the equation. (See Ex. and Study Tip on p. 87.). Two fifths of a number equals. Find the number. 7. Twelve is one fifth of a number. What is the number? Glencoe Algebra 1 Page of 11
-A p. 9 Solve each equation. Check your solution. (See Example 1 on page 9 and Example on page 9.) t 18. 6 1 Check: 8 1. 1 d 6 17 s. 10 Check: 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.. Twenty-nine is thirteen added to four times a number. What is the number?. Find three consecutive odd integers with a sum of 1. 6. Find three consecutive even integers with a sum of 0. (cont. on next page) Glencoe Algebra 1 Page of 11
p. 101 Solve each equation. Check your solution. (See Example 1 on page 98 and Example on page 99.) 1 1. 6 r 10. x 6 Check:. a 1 10 a. w w 1 Check:. 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? Check: 7. Two less than one third of a number equals more than one fourth of the number. Find the number. Glencoe Algebra 1 Page 6 of 11
8. Two times a number plus 6 is three less than one fifth of the number. What is the number? Check: 1 1. f f. y y y Check:. 1 d d. n 0. 1n 0 Check: Glencoe Algebra 1 Page 7 of 11
-A7 Ratios and Proportions Page 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., 1 1 11..,..0.6 1. 1.1 1.1, 1. 1. Solve each proportion. If necessary, round to the nearest hundredth. (See Example on page 107.) 1. x 10 19. 6 8 7 a. 0.1 8 n 6 x 17. 1 1. w. 6.8. 1 0.19 1 n 7. WORK Jun earns $1 in days. At that rate, how many days will it take him to earn $? (see Ex. and Study Tip on page 107.) 9. 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? (see Ex. on page 108) Glencoe Algebra 1 Page 8 of 11
-A8 p. 11-11 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.) 1. original: 1.6 meters new: 11. meters 16. original: $8 new: $90 18. 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? (see Example on page 11.) Find the total price of each item. (See Example on page 11.) 0. umbrella: $1.00. candle: $7.0. clock radio: $9.99 tax:.% tax:.7% tax: 6.7% Find the discounted price of each item. (See Example on page 11.) 6. shirt: $.00 8. watch: $7. 0. suit: $17.9 discount: 0% discount: % discount: % (cont. on next page) Glencoe Algebra 1 Page 9 of 11
p. 10 Solve each equation or formula for the variable specified. (See Ex 1 on page 117 and Ex on page 118.) 8. y mx b, for m 9. v r at, for a 10. km x 6y, for m 11. b t, for b 1. c y b, for y 1. m a b, for m ax n 1.,for x by 1. c,for y 16. g h g, for g 17. 8t r 1t, for t 18. y z am y, for y 19. 9 a b c a, for a Glencoe Algebra 1 Page 10 of 11
-A9 p. 10 0. at b ar c, for a 1. g m gh, for g For exercises -, see Example on page 118 and Example on page 119. GEOMETRY For exercises and, use the formula for the area of a trapezoid.. Solve the formula for h.. What is the height of a trapezoid with an area of 60 square meters and bases of 8 meters and 1 meters? WORK For Exercises and, use the following information: w 10e The formula s is often used by placement services to find keyboarding speeds. m In the formula, s represents the speed in words per minute, w represents the number of words typed, e represents the number of errors, and m represents the minutes typed.. Solve the formula for e.. If Mateo typed 10 words in minutes and received a keyboard speed of 76 words per minute, how many errors did he make? Glencoe Algebra 1 Page 11 of 11