Instructor: Virginia Davis Course: Foundations for College Math (1)
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1 Student: Date: Instructor: Virginia Davis Course: Foundations for College Math (1) Assignment: Chapter 7 Review Homework 1. Simplify the epression Select the correct choice below and fill in any answer boes in your choice A. 2 B. The epression cannot be simplified. 2. Multiply (Type your answer in factored form.). Add the rational epressions. m 2n 9m 2n m 2n 9m 2n. Simplify the comple fraction /12
2 . Simplify the comple fraction Simplify the comple fraction Simplify. a 1 b 2 a 1 b 1 a 1 b 2 a 1 b 1 8. If three times a number, added to 2 is divided by the number plus 8, the result is five halves. Find the number. The number is. 9. Smith Engineering is in the process of reviewing the salaries of their surveyors. During this review, the company found that an eperienced surveyor can survey a roadbed in hours. An apprentice surveyor needs 10 hours to survey the same stretch of road. If the two work together, find how long it takes them to complete the job. The answer is hr. (Type an integer or a simplified fraction.) 2/12
3 10. In minutes, a conveyor belt moves 200 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 7 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The conveyor belts can move the 200 pounds of recyclable aluminum from the delivery truck to a storage area in minutes. (Simplify your answer. Type an integer, fraction, or a mied number.) 11. A jogger begins her workout by jogging to the park, a distance of 6 miles. She then jogs home at the same speed, but along a different route. This return trip is 10 miles, and her time is one hour longer. Find her jogging speed. Complete the accompanying chart, and use it to find her jogging speed. Let the jogging speed. Distance Rate Time Trip to Park 6 Return Trip 10 (Type an epression using as the variable.) The jogger's speed is mph. 12. Perform the indicated operation A board of length inches was cut into two pieces. If one piece is inches, epress the length of the other piece as a rational epression.? 8 in. in. The other piece of the board has length inches. 1. Two angles are said to be complementary if the sum of their measures is 90. If one angle measures 8 degrees, find the measure of its complement. 8? The measure of its complement is degrees. /12
4 1. Solve the equation. b 7 b 2 Select the correct choice below and, if necessary, fill in the answer bo to complete your choice. A. The solution is. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no solution. 16. The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to. If an elephant weighs 600 pounds on Planet A, find the elephant's weight on Planet B. The elephant's weight on Planet B is lb. 17. There are 110 calories per 28. grams of Cereal X. Find how many calories are in 6.92 grams of this cereal. There are calories in 6.92 grams of this cereal. 18. Perform the indicated operation. Simplify if possible Perform the indicated operation. d 8 8 d d 8 8 d 20. Solve the equation. 8y y y y 10 Select the correct answer below and, if necessary, fill in the answer bo to complete your choice. A. y (Use a comma to separate answers as needed.) B. There is no solution. /12
5 21. Simplify the epression Select the correct choice below and fill in any answer boes in your choice. 7 A. 2 6 B. The epression cannot be simplified. 22. Simplify the epression Select the correct choice below and fill in any answer boes in your choice. 9 2 A B. The epression cannot be simplified. 2. Multiply. Simplify if possible Find the product and simplify if possible. (p t) p t p p 2 pt (p t) p p t p 2 pt (Simplify your answer. Type your answer in factored form.) /12
6 2. Find the quotient and simplify the result (Simplify your answer. Use integers or fractions for any numbers in the epression.) 26. Multiply (Simplify your answer. Use integers or fractions for any numbers in the epression.) 27. Simplify the comple fraction Simplify the comple fraction /12
7 29. Solve the equation and check the proposed solution a 9 8a a 9 Select the correct choice below and, if necessary, fill in the answer bo to complete your choice. A. a (Simplify your answer. Use a comma to separate answers as needed.) B. There is no solution. 0. Solve the equation. a a 9 8 a 7 Select the correct choice below and, if necessary, fill in the answer bo to complete your choice. A. a (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no solution. 1. Solve the equation for the indicated variable. I 6A T B for B B 2. Solve the equation for the indicated variable. L P A N for N N. Solve the proportion Solve the following proportion /12
8 . Solve the proportion (Simplify your answer. Type an integer or a fraction.) 6. Find the unknown length y in the following pair of similar triangles y 7. Find the unknown length y in the pair of similar triangles. ft y 10 ft 6 ft y ft (Simplify your answer. Type an integer, fraction, or a mied number.) 8. Nine times the reciprocal of a number equals times the reciprocal of 6. Find the number. The number is. 9. Subtract the rational epressions and simplify if possible Perform the indicated operation /12
9 1. A pilot can travel 600 miles with the wind in the same amount of time as 00 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 20 miles per hour. The speed of the wind is miles per hour. 2. Find the quotient and simplify. a 2 b 2 a b a a 2 ba a 2 b 2 a b a a 2 ba. Divide (Type an integer or a simplified fraction.) 9/12
10 A m n b 2 a b(b a) ( ) /12
11 1. 9 ( )( ) A. The solution is. 7 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) ( )( ) A. y (Use a comma to separate answers as needed.) A A (p t) p t /12
12 B. There is no solution. 0. A. a 8, 9 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) 1. 6A TI I 2. A L P a b /12
Instructor: Virginia Davis Course: Foundations for College Math (1)
5/19/01 Final Eam Review Ch 10,11-Virginia Davis Student: Date: Instructor: Virginia Davis Course: Foundations for College Math (1) Assignment: Final Eam Review Ch 10,11 1. Simplif b factoring. Assume
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