Provide an appropriate response.A student insists on finding a common denominator by always multiplying the denominators of the expressions being added or subtracted. How could the student's approach be improved? Explain.
What will be an ideal response?
The student could always find the least common denominator, because simplification is either unnecessary or easier when the LCD is used. The least common denominator will be smaller than the product of the denominators if the denominators have factors in common.
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The graph of a function is given. Choose the answer that represents the graph of its derivative.
A. 
B. 
C. 
D. 
Find all numbers a such that the given point is on the circle x2 + y2 = 1.
A. a = ±
B. a = ±
C. a = ±
D. a = ±
Write an equation for the ellipse.Foci (0,±2
) and x-intercepts (±2, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Solve the application problem.The side of a square equals the length of a rectangle. The width of the rectangle is 4 centimeters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the square.
A. 4 cm B. 2 cm C. 6 cm D. 16 cm