1.7 Mid Unit Assessment

Select ALL equations that have two solutions.

Tags

CCSS.HSA-REI.B.4B

• The equation has no solution.

• The equation has one solution:
  5.

• The equation has two solutions:  -2 and 0.

• The equation has infinitely many solutions. 

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Tags

CCSS.HSA.APR.C.4

• Not able to factor

• (x+3)(x-3)

Tags

CCSS.HSA.APR.C.4

A rancher has a square cow pen with side length x. He decides to change the shape of the pen to a rectangle while still using the same amount of fencing materials. The equation (x+10)(x−10)=300 represents the relationship of the new side lengths (in feet) of the pen and its area (in square feet).

a. If 300 represents the area of the new cow pen, what do the expressions (x+10) and (x−10) each represent?

A rancher has a square cow pen with side length x. He decides to change the shape of the pen to a rectangle while still using the same amount of fencing materials. The equation (x+10)(x−10)=300 represents the relationship of the new side lengths (in feet) of the pen and its area (in square feet).

b. Find x, the original side length (in feet) of the square pen. Show your reasoning.

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B