Applications of Quadratic Equations in Real-World Contexts

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

Find two consecutive integers whose product is 342.

• 18, 19 and -18, -17

• 18, 19 and -19, -18

• 19, 20 and -20, -19

• 9, 38 and -38, -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

The area of a triangle is 384 square feet. If the base is 8 feet longer than the height, find the measurement of the base and the height. (A = ½bh)

• h = 24 ft and b = 32 ft

• h = 32 ft and b = 24 ft

• h = 32 ft and b = 40 ft

• h = 40 ft and b = 32 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Find two consecutive ODD integers whose product is 1935.

• 40, 41 and -41, -40

• 25, 65 and -65, -25

• 41, 43 and -43, -41

• 43, 45 and -45, -43

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

Find two consecutive ODD integers whose product is 1935.

• 40, 41 and -41, -40

• 25, 65 and -65, -25

• 41, 43 and -43, -41

• 43, 45 and -45, -43

One number is 18 more than the other. Find the two numbers if their product is 819.

• 18, 36 and -36, -18

• 22, 40 and -40, -22

• 21, 39 and -39, -21

• 9, 91 and -91, -9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4