math

Chapter 9 More on Algebra Homework Name___________________________________

Work all problems by hand and SHOW ALL WORK.

For #1 - 12 solve and show your check to the right hand side of the sheet. 1) x + 7 = 0

2) y - 9 = -9

3) -72 = 8a

4) -12 = b 5

5) 2x + 2 = 18

6) -8 = 2y + 1

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7) 22 - y = 5

8) a 2

+ 18 = 20

9) -6x - 7x = -91

10) -3c + 40 = 4 - 7c

11) -3x = 6(x - 3)

12) -(3y + 8) = 16 - y

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Write the relationship as an equation or formula. 13) According to Ohm's Law, the voltage, V, across an electric circuit, is equal to the current, I, flowing through

the circuit, times the resistance of the circuit, R.

14) Three times the sum of a number n and 4 is 6 times n.

Write an equation for the word problem. Then solve and check. 15) The cost of a long-distance phone call to your friend is $0.27 for the first minute and $0.14 for each

additional minute. What was the total length of a call that cost $2.09 and lasted x additional minutes?

16) An automobile dealer sells cars at a price that is 7 8

the suggested retail price P, plus a $100 handling fee.

What is the suggested retail price of a car that the dealer sells for $13,953? Write your answer in complete sentence form and include correct units.

17) A fitness club charges an initial fee of $250 plus $25 per month for membership. In how many months, x, will a member pay a total of $550 for membership? Write your answer in complete sentence form and include correct units.

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18) During a sale, the price of a jacket was reduced by 1 3

. With a coupon, an additional $10 was taken off at the

cash register. If the final price of the jacket was $50, what was the original price? Write your answer in complete sentence form and include correct units.

Solve. 19) The "reaction distance" is the distance that a car travels during the time that the driver is getting his or her

foot on the brake. Studies at one test facility showed that the reaction distance, d, is approximately 2.4 times the rate, r, of the car. Here, the reaction distance is in feet, and the rate is in miles per hour. Write a formula for the reaction distance. Find the distance for a rate of 65 miles per hour. Write your answer in complete sentence form and include correct units.

20) To calculate the speed f of an object in feet per second in terms of its speed m in miles per hour, we use the

formula f = 22 15

m. If an object is moving 60 miles per hour, what is its speed in feet per second? Write your

answer in complete sentence form and include correct units.

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