Quadratics Word Problems

The length of a rectangle is 5 inches more than twice a number. The width is 4 inches less than the same number. If the area of the rectangle is 15, find the number.

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

 $5x^2=35x$  

 Find the zeros:

• 7

• -7

• 5

• -5

Tags

CCSS.HSA-REI.B.4B

The width of a rectangle is 3cm less than the length. If the area of the rectangle is   $10cm^2$ , find the width.

• 2

• 5

• -2

• -5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.A.1

A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer field must be 40 yards longer than its width. Determine the length.

• 600

• 60

• 10

• 100

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.2

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function $h(t)=-16t^2+16t+480$ , where t is the time in seconds and h is the height in feet.  Jason hit the water after how many seconds?

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Tom is 4 years older than his brother, Ray. The product of their ages is 45. Find the age of Tom.

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4