A2 Alg3 Quadratics Word Problems

The length of a rectangle is 4 less than twice the width. The area of the rectangle is 70. Find the dimensions of the rectangle.

• Width = 5

  Length = 14

• Width = 7

  Length = 10

• Width = 5

  Length = 5

• None of these

Find two consecutive integers such that the square of the first decreased by 17 equals 4 times the second. 

• 7, 8

• -3, -4

• -3, -2

• -7, -8

The product of two consecutive odd integers is 783.  Find the integers. 

• 27, 28

• -27, -29

• -27, -26

• 27, 29

In a right triangle, the length of the longer leg is 7 more inches than the shorter leg. The length of the hypotenuse is 8 more inches than the length of the shorter leg. Find all three sides.  

• 5in, 6in, 7in

• 3in, 4in, 5in

• 12in, 19in, 20in

• 5in, 12in, 13in

In a right triangle, the hypotenuse is 25cm.  The longer leg is 5cm more than the shorter leg.  Find both legs

• 20cm, 25cm

• 15cm, 25cm

• 15cm, 20cm

• none of these

The square of a number exceeds the number by 72.  Find the number.

• 8

• -8

• 9

• -9