Questions:
Algebra - Solving Systems of Linear Equations and Word Problems
1.) Solving Systems by Graphing and Substitution
Investing her bonus. Donna invested her $33,000 bonusand received a total of $970 in interest after one year. Ifpart of the money returned 4% and the remainder 2.25%,then how much did she invest at each rate?
2.) Ticket sales. Tickets for a concert were sold to adults for$3 and to students for $2. If the total receipts were $824and twice as many adult tickets as student tickets weresold, then how many of each were sold?
3.) Solve each system by the addition method. Determine whetherthe equations are independent, dependent, or inconsistent.
x - y = 3
-6x + 6y = 17
4.) Solve each system by the addition method.
3x - 2.5y = 7.125
2.5x - 3y = 7.3125
5.) Super Bowl contender. The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?