University:
Jackson College
Course:
MAT-010 | Basic Mathematics
Academic year:

2024
Views:

121

Pages:

2
Author:

Bennett Wheeler

Question 1 A man weighs 5 6 6 5 of his weight plus 30 pounds. What is his weight? Answer 1 Let 𝑥 x be the weight of the man so that we can write: 5 6 𝑥 + 30 = 𝑥 6 5 x+30=x Subtract 5 6 𝑥 6 5 x from both sides: 30 = 1 6 𝑥 30= 6 1 x Multiply both sides by 6: 180 = 𝑥 180=x So, the man weighs 180 pounds. Question 2 Solve for 𝑚 m: 𝑤 = 𝑚 𝑔 w=mg. Answer 1 We are given: 𝑤 = 𝑚 𝑔 w=mg Divide both sides by 𝑔 g: 𝑚 = 𝑤 𝑔 m= g w Question 3 An infant receives 4 oz of formula q4h. How many quarts of formula has he taken in a four-day period? Answer 1 "q4h" means "every four hours." Since there are 6 four-hour intervals in a day, the infant will receive: 6 × 4 = 24 oz per day 6×4=24oz per day In 4 days, the infant will receive: 4 × 24 = 96 oz 4×24=96oz Since 1 quart = 32 oz: 96 oz 32 oz/quart = 3 quarts 32oz/quart 96oz =3quarts Question 4 Write each of the numbers 1, 8, 27, 64, and 125 as a base raised to the third power. 1 = 1 3 1=1 3 8 = 2 3 8=2 3 27 = 3 3 27=3 3 64 = 4 3 64=4 3 125 = 5 3 125=5 3 Question 5 If 2 𝑥 3 + 𝑥 2 = 1 6 3 2x + 2 x = 6 1 , then 𝑥 = ? x=? Options: A. 30 30 B. 15 15 C. 1 7 7 1 D. 1 5 5 1 E. 1 3 3 1 Answer 1 We are given: 2 𝑥 3 + 𝑥 2 = 1 6 3 2x + 2 x = 6 1 Multiply both sides by the LCD, which is 6: 6 ( 2 𝑥 3 + 𝑥 2 ) = 6 ⋅ 1 6 6( 3 2x + 2 x )=6⋅ 6 1 4 𝑥 + 3 𝑥 = 1 4x+3x=1 7 𝑥 = 1 7x=1 𝑥 = 1 7 x= 7 1 So, the answer is choice C: 𝑥 = 1 7 x= 7 1 .