MAC 1105 Sample Test 1 College Algebra Chapter 1 In problems 1 ...

MAC 1105 Sample Test 1College Algebra Chapter 1In problems 1 - 4, perform the indicated operations. Express complex answers instandard form: a+bi1. −4 − 162. ( 2− 5i)( 4+2i)3. 2 + 5 i2−5i4. ( ) 23 9 − − −In problems 5 – 14, solve for x .5.6.26 23 x − =23x18x8 0− + = (Show steps necessary to solve by completing the square).7. ( 2x − 1) 2= 488.9.x− 2 3x+ = 03 x + 23 2x x x− − 4 + 4=010. x− 2x+ 5 = 511. 7x+ 8− 6x+ 1=112.xyz =x + y13.x1 12 4− 7x+ 10=0214. ( x 2 x) ( x 2 x)−2 −11 − 2 + 24=01/7/2010

In Problems 15 – 17, solve each inequality. Express the answer in interval notation andsketch the solution on a real number line.15. ( x )3 + 1 + 2≥ 4x+416. 4x + 3 > 517. 10 −4x− 8 < 2In Problems 18 – 22, solve each problem.18. The average cost of a new car C, (in dollars), t years after 1970 is approximated by2the model C = 30.5t+ 4192. In what year will the average cost of a car reach25,000?19. Including 8% sales tax, an inn charges $162 per night. Find the inn’s nightly cost before thetax is added.20. A box with a square base and no top is to be made from a square piece of cardboard bycutting 4-inch squares from each corner and folding up the sides. The box is to hold 100cubic inches. How big of a piece of cardboard is needed?21. You are choosing between two long-distance telephone plans. Plan A has a monthly fee of$15 with a charge of $0.08 per minute for all long-distance calls. Plan B has a monthly feeof $3 with a charge of $0.12 per minute for all long-distance calls. How many minutes oflong-distance calls in a month make plan A the better deal?22. A person throws a rock upward from the edge of an 80-foot cliff. The height, h, in feet, ofthe rock above the water at the bottom of the cliff after t seconds is described by the2formula h=− 16t + 64t+ 80 . How long will it take for the rock to reach the water?1/7/2010