Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Notes 6 – 3 Systems with A Vengeance N6-3 1. One number is 6 less than five times another. Their difference is 22. Find the numbers. 2. The perimeter of a rectangular garden is 46 feet. The length of the garden is 5 feet less than three times the width. Find the length of the garden. 3. Jill collects nickels and quarters. Her bank now holds 30 coins amounting to $5.10. How many quarters does she have? 4. Adult tickets to a basketball game cost $5 and student tickets cost $3. In all, 90 tickets were sold for a total of $334. How many adult tickets were sold? 5. Jason bought a total 7 postcards for $1.80. If small postcards cost 20 cents and the large ones cost 30 cents each, how many postcards did he buy of each size? A 6-3 Name___________________________ DATE_________________ PERIOD______ Systems with a Vengeance Solve each problem using a system of equations. Make sure you write a complete sentence for you answer. 1. The sum of two numbers is 25. And their difference is 7. Find the numbers. 2. Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have? 3. The length of a rectangle is 5 more than twice the width. The perimeter is 130 in. What is the area ? 4. Phil has 50 nickels and dimes worth $4.15. How many dimes does he have? 5. The bill for five glasses of apple juice and four salads is $9.50, but the bill for four glasses of apple juice and five salads is $10.30. What would be the bill for a glass of apple juice and a salad? 6. A movie theater charges $5 for an adult ticket and $2 for a child’s ticket. One Saturday the theater sold 785 tickets for $3280. How many child’s tickets were sold for the movie that Saturday? 7. Find the equation of a line with slope –3 and goes through the point (-5,2). Equation:_________________ 8. Find the equation of a line parallel to y = - 1 x 2 and goes through the 3 point (6,-5). Equation:___________________ 9. Find the equation of a line perpendicular to y = - 1 x 2 and goes through the 3 point (2, 3). Equation:____________________