Answers:
- 6) b. Apply square root to both sides
- 7) d. 8 by 10.
- 8) a. Thickness of edge that leads to total area of 100 square inches
- 9) a. x = -5 and x = 3/2
- 10) d. zero product property
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Explanations:
- 6) We apply the square root to both sides to undo the squaring operation.
- 7) The photo without the frame is 8 by 10 since we add on two copies of x to jump from 8 to 8+2x. Similarly, we go from 10 to 10+2x.
- 8) The x represents the thickness of the frame. The 100 is the total area (picture + frame). The expression on the right hand side is also the total area.
- 9) Apply the zero product property to set each factor equal to zero. You'll find that x+5 = 0 leads to x = -5. Also, 2x-3 = 0 becomes 2x = 3 and solves ultimately to x = 3/2
- 10) Refer to problem 9
