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Name
Alg1 Q3 Quiz 6 Review
3/7/13
Quadratic Word Problems
Quiz: Tuesday, March 12, 2013
1) The area of a rectangle is 36 cm2. The width is stated as x – 4 and the length is
stated as x + 1. Find the value of x and then use x to find the perimeter.
2) The area of a rectangle is 112 in2. The length is 6 more than the width. Find the
perimeter of the rectangle.
3) Find 5 positive consecutive integers such the product of the 3rd and the 4th is 702.
4) Find 5 consecutive negative even integers such that the product of the 1st and 5th is
468.
5) The product of two negative numbers is 45. The larger number is 6 more than
triple the smaller. Find both numbers. Find the sum of the two numbers.
6) Three positive numbers are multiplied and the product is 256. The first number is
4. The 2nd # is x – 4 and the 3rd number is x + 8. Find the sum of the three
numbers.
7) Find 4 consecutive odd negative integers such that the product of the 1st and 4th is
315. Find the sum of the 2nd and 3rd integers
8) The area of a rectangle is 96 cm2. The width is stated as x + 9 and the length is
stated as x + 13. Find the value of x and then use x to find the perimeter.
9) The area of a rectangle is 160 in2. The length is 6 more than the width. Find the
perimeter of the rectangle.
10) Find 5 negative consecutive integers such the product of the 2nd and the 5th is 187.
11) The product of two positive numbers is 192. The larger number is 8 less than
double the smaller. Find both numbers. Find the difference of the two numbers.
12) Three positive numbers are multiplied and the product is 128. The first number is
2. The 2nd # is x – 2 and the 3rd number is x + 10. Find the sum of the three
numbers.
Answer Key:
1) x = 8 p = 28 cm
3) 24,25,26,27,28
5) -5,-9 and the sum = -14
7) -21,-19,-17,-15 and the sum = -36
9) x = 10, p = 52 in
11) 12,16 and the difference = 4
2) p = 44 in
4) -26,-24,-22,-20,-18
6) 4,8,16 and the sum = 28
8) x = -1, p = 40 cm
10) -16,-15,-14, -13,-12
12) 2,4,10 and the sum = 16
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