Solving Quadratic Equations Word Problems

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? 

• 10
• -5
• 5
• -10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

#1) The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12
• Length = 18, Width = 4
• Length = 12, Width = 6
• Length = 4, Width = 6

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.G.A.1

CCSS.6.EE.A.2

#5) The rec center has a rectangular pool that has an area of 500 square feet.  The width is 5 times the length.  What is the length of the pool?

• 50
• 10
• 20
• 25

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.G.A.1

• ±81
• ±9
• ±3
• No real solution

Tags

CCSS.8.EE.A.2

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? 

• 10
• -5
• 5
• -10

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A