Algebra-1-rcises.doc

Chapter 2 ExercisesSolve each equation. Check your answer.1. 2. 9-2x+x=-13 2x+0.3-x=3.3 42=4x-6x+63. x(4-1)+9=27 5(1-2x)+8x=15 5(x+10)=45 2.3x-3.2+4.1=-6 4. Linda organized her books onto 4 shelves. The top shelf holds 5 books ,the second shelf holds 7,and the 2 bottom shelves hold the same number of books .Linda has a total of 24 books. How many books does each bottom shelf hold? 5.Alice and Caseys total restaurant bill, including tip,was $34. Alices portion of the bill was twice as much as Caseys, and they each left a tip of $2. How much did each person pay?6. Marissa is buying a shirt for each of her brothers and each of her 2 sisters. Each shirt cost $7.50, and she spends a total of $30. How many brothers does Marissa have?7. Write an equation to represent each relationship. Then solve.a.Three increased by a number, all multiplied by 6,equals 36.b.Three times the sum of a number and 4, minus the number, is equal to 18.c.One-half of a number added to twice the difference of the number and 5 equals 0.Chapter 2 ExercisesSolve each equation. Check your answer.1.2x-1=x+11 8x+4=10+2x 28-0.3y=0.7y-122. -2(x+3)=4x-3 5-(x+3)=-1+2(x-3) 3.6(x+7)-20=6x 3x-10=2(4x-5) 2(x+4)-5=2x+33. A house-painting company charges $376 plus $12 per hour. Another painting company charges $280 plus $15 per hour.a. How long is a job for which both companies will charge the same amount?b. What will that cost be?Chapter 3 ExercisesSolve each inequality and graph the solutions. Check your answer.1. 37+x20 x-5614 2. 102x 12x-144 3. Write an inequality for each statement . Solve the inequality and graph the solution. Check your answer.a. A number x decreased by 13 is at most 15.b. A number n increased by 6 is less than or equal to 4 c. The product of a number and 7 is not less than 21.d. The quotient of h and -6 is at least 5.e. The product of and b is at most -16.f. Ten is no more than the quotient of t and 4.4. The maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weights 243 pounds enters the elevator with a crate of weight x. write, solve, and graph an inequality to show the values of x that will not exceed the weight limit of the elevator.5. The rope Roz brought with her camping gear is 54 inches long. Roz needs to cut shorter pieces of rope that are each 18 inches long. What are the possible number of pieces Roz can cut?6. The area of a rectangle is at most 21square inches. The width of the rectangle is 3.5 inches. What are the possible measurements for the length of the rectangle?Chapter3 Exercises1.Solve each inequality and graph the solutions. 1x-3(x+2) -1833-3x2. Write an inequality for each statement. Solve the inequality.a. One-half of a number, increased by 9,is less than 33.b. The product of 4 and the sum of a number and 12 is at most 16.c. The sum of half a number and two-thirds of the number is less than 14. 3.A sales representative is given a choice of two paycheck plans. One choice includes a monthly base pay of $300 plus 1o% of his sales. The second choice is a monthly salary of $1200. For what amount of sales would the representative make more money with the first plan?4. One cell phone company offers a plan that costs $29.99 and includes unlimited night and weekend minutes . Another company offers a plan that costs $19.99 and charges $0.35 per minutes during nights and weekends. For what numbers of night and weekend minutes does the second companys plan cost more than the first companys plan?(2x+3) in5. The area of the