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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:____________________