High School Algebra Advanced Course

Cover High School Algebra Advanced Course
High School Algebra Advanced Course
H E Herbert Ellsworth Slaught
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Show how one solution can be made to give the results for both problems 9 and 10.
11. Find two consecutive integers whose product is a. Make a problem which is a special case of this and solve it by sub- stituting in the formula just obtained.
What special property must a have in order that this problem may be possible. Answer this from the formula.
12. A rectangular sheet of tin, 12 by 16 inches, is made into an open box by cutting out a square from each corner and turning up the sides. Find t
...he size of the square cut out if the volume of the box is 180 cubic inches.
The resulting equation is of the third degree. Solve it by factor- ing. See § 151. Obtain three results and determine which are appli- cable to the problem.
13. A square piece of tin is made into an open box contain- ing a cubic inches, by cutting from each corner a square whose side is b inches and then turning up the sides. Find the dimensions of the original piece of tin.
14. A rectangular piece of tin is a inches longer than it is wide.


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