Use systems of 2 equations/2 unknowns to solve the following
Use systems of 2 equations/2 unknowns to solve the following.
1. Ellen and Rob went to the store to buy some presents. They had a total of $22.80 to spend and came home with $6.20. If Ellen spent two thirds of her money and rob spent four fifths of his money, how much did they each have to begin with?
2. A purchase of 6 dozen oranges and 10 lbs of peaches cost $10.60. If the price per dozen oranges increases 10% and the peaches increase 5% per pound, the same order would cost $11.46. What is the initial cost of each?
3. If Sue gave Sam one of her dollars, then Sam would have half as many dollars as Sue. If Sam gave Sue one of his dollars, then Sue would have five times as many dollars as Sam. How many dollars did each of them have?
Graph each of the following. Identify the vertex, AOS, plus 2 points on either side.
4. [pic] 5. [pic]
6. [pic] 7. [pic]
8. [pic] 9. [pic]
Solve by completing the Square
10. [pic] 11. [pic]
Solve by the Quadratic Formula
12. [pic] 13. [pic]
Solve each inequality
14. [pic] 15. [pic]
16. Find the dimensions and the maximum area of a rectangle whose perimeter is 24 inches.
17. The difference of 2 numbers is 22. Find the numbers if their product is to be a minimum and also find this product.
18. A bus service is currently transporting 100 passengers at a cost of $2.00 per person. The owner estimates that for every 20¢ increase in price there will be 5 fewer passengers. What price should be charged to maximize revenue?
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