College Mathematics (Solving Equations and Inequaltiies)

1.1.1 Solve: 3 7 29 3 − = + m m 1.1.3 Solve: 5 4 5 − < + x 1.1 Linear Equations and Inequalities 1.1.5 Solve: 1.1.7 Solve and graph: 1.1.9 Solve and graph: 20 4 − ≥ − x 2 7 3 < − − x 9 7 5 ≤ + ≤ x1.1.11 Solve: 1.1.13 Solve: 20 3 51 10 = + x 34 2 > −x1.1.17 Solve: 1.1.19 Solve: 312 ) 4 ( 21 15 = − + x x ( ) 2 2 20 − ≤ − y y1.1.21 Solve: 1.1.23 Solve: 45 4 3 = − x x 5 35 2 3 m m − > −1.1.25 Solve and graph: 1.1.27 Solve the inequality and graph the solution: 18 3 3 9 < − ≤ x 68 32 4 5 9≤ + ≤ − C1.1.29 Solve for y: 1.1.31 Solve for y: 14 7 2 = − y x ( ) 0 ≠ = + K L Ky Jx1.1.33 Solve for N: 1.1.35 Solve and graph: 15 49 + = N T 21 4 5 1 < − ≤ x1.1.47 A jazz concert brought in $216,000 on the sale of 8500 tickets. If the tickets sold for $20 and $30 each, how many of each type of ticket was sold? 1.1.49 You have $500,000 in an IRA (Individual Retirement Account) at the time you retire. You have the option of investing this money in two funds: Fund A pays 1.2% annually and Fund B pays 6.2% annually. How should you divide your money between Fund A and Fund B so to produce an annual interest income of $23,000? 1.1.53 Retail prices in a department store are obtained by marketing up the retail price by 60%. That is, the retail price is obtained by adding 60 % of the wholesale price to the wholesale price. What is the retail price of a suit if the wholesale price is $500? What is the wholesale price of a pair of jeans if the retail price is $120? 1.1.59 A publisher for a promising new novel figures fixed costs (overhead, typesetting, and so on) at $61,000, and variable costs (printing, paper, binding, shipping) at $1.60 for each book produced. If the book is sold to distributors for $13, how many must be produced and sold for the publisher to break even? 1.1.63 To determine the number of trout in a lake, a conservationist catches 410 trout, tags them, and releases them. Later, 184 trout are caught, and it is found that 41 are tagged. Assuming the proportion of tagged trout in the second sample was the same as the proportion of the tagged trout in total population, estimate the number of trout in the lake.