8.4 Consecutive Integers

Which of the following setups would be used to find four consecutive integers?

• n
  n+2
  n+4
  n+6
• n
  2n
  4n
  6n
• n+1
  n+2
  n+3
  n+4
• n
  n+1
  n+2
  n+3

Which expressions can be used to represent the sum of 3 consecutive odd integers?

• n+1

  n+2

  n+3

• n

  n+1

  n+3

• n

  n+1

  n+2

• n

  n+2

  n+4

The product of two consecutive positive numbers is 132.  Find the numbers.

• 11, 12
• -11, -12
• -11, 12
• 11, -12

The product of two consecutive negative even integers is 24.  Find the integers.

• 6, 8
• 6, 4
• -6, -8
• -6, -4

The product of two consecutive negative even integers is 24.  Find the integers.

• 6, 8
• 6, 4
• -6, -8
• -6, -4

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

•  length = 26 yd, width = 21 yd
• length = 21 yd, width = 26 yd 
• length = 21 yd, width = 16 yd 
• length = 16 yd, width = 21 yd

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

The area of a rectangle is 132. The length is one more than the width. Which equation represents this if the width is represented by x?