Algebra 1 Name __________________________________ Date __________ Pd. _____ Is this a Proportion? 1.) 6 7 YES = 36 2.) 42 2 5 = 15 25 NO Solve the Proportion: 1.) 2 = 5 3 x X=15/2 2.) 3- x X=1 15 = 4 30 3.) 6x - 2 X=5 7 = 5x + 7 8 Solve: 1.) What is 14% of 95? 13.3 2.) What percent of 80 is 140? 175% 3.) What is 4% of 60? 2.4 4.) What percent of 90 is 40? 44.44% 5.) What is 30% of 45% of 12? 1.62 6) 36 is what percent of 30% of 10? 1200% 7) 15 is 20% of what percent of 70? 107% 8) 110 is 35% of 50% of what number? 628.6 KL/2012 1 Algebra 1 VI. Find the Percent of Change: 1.) original = 73 new = 65 10.96% 2.) umbrella = $14.00 tax = 5.5% $14.77 3.) watch = $37.55 discount = 35% $24.41 4.) Suit = $95 Markup = $75 78.95% VI. Word Problems: (Work on a SEPARATE piece of paper.) a) b) c) d) State the unknown the variable represents. Write an equation for the problem. Solve the equation. Clearly state the solution of the problem. Round to the nearest hundredth. 1) How much will you pay for a $250 dollar watch, that is on sale for 25% off. Assume you must pay a 7% sales tax at the register. $200.625 2) A stock is originally priced at $42. It decreases in value you by 20%. By what percent must the stock increase in order to return to its original value? 25% 3) A research study shows that three out of every twenty pet owners got their pet from a breeder. Of the 122 animals cared for by a veterinarian, how many would you expect to have been brought from the breeder? 73.2 4) Matt makes a 2% commission on each of his sales. When he sold a new car, he made $190. How much did the car cost? 9500 5) A store charges a markup of 25% in order to make a profit. If they are selling an item for $49.99, how much did they buy the item from the distributor for? 39.99 6) An item is marked down 15%, the sale price is $43.76, what was the original price? $51.48 7) 56% of students received a B+ or better on the chapter 3 Quest, if 14 students received a B+ or better, how many students are in the class in total? 25 students KL/2012 2