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How Do You Know That? Elementary Algebra / 2 Write one or more complete sentences to answer each question. Answers may vary 1. How do you know that 43 = 26? Since 43 = 4 x 4 x 4 and 26 =2x2x2 x2x2x2 by grouping pairs of two's (2 x 2)(2 x 2)(2 x 2), it is clear that 43 = 20. %3D %3D %3D 2. How do you know that the value of x that satisfies the equation 4x = 30 is not an integer? %3D X-a 3. How do you know that = -1, where (x # a)? a - x 4. How do you know that (a + b)² # a? + b2?

How Do You Know That? Elementary Algebra / 2 Write one or more complete sentences to answer each question. Answers may vary 1. How do you know that 43 = 26? Since 43 = 4 x 4 x 4 and 26 =2x2x2 x2x2x2 by grouping pairs of two's (2 x 2)(2 x 2)(2 x 2), it is clear that 43 = 20. %3D %3D %3D 2. How do you know that the value of x that satisfies the equation 4x = 30 is not an integer? %3D X-a 3. How do you know that = -1, where (x # a)? a - x 4. How do you know that (a + b)² # a? + b2?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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How Do You Know That? Elementary Algebra / 2 Write one or more complete sentences to answer each question. Answers may vary. 1. How do you know that 43 = 26? Since 43 = 4 x4 x 4 and 26 = 2x 2x 2 x 2x2x2 by grouping pairs of two's (2 x 2)(2 x 2)(2 x 2), it is clear that 43 = 26. %3D %3D %3D 2. How do you know that the value of x that satisfies the equation 4x = 30 is not an integer? %3D x - a 3. How do you know that = -1, where (x # a)? a - x 4. How do you know that (a + b)² # a² + b²? 5. How do you know that (2x - 1) is a factor of 2x2 - 17x + 8? 6. How do you know that if (x - 4)(x - 5)(x - 6) = 0, x cannot be 7? 7. How do you know that the lines represented by the equations 3x = y and y - 3x = 1 are parallel? 8. How do you know that the points (4, 7), (-1, -8), and (0, -5) lie on a straight line?
Transcribed Image Text:How Do You Know That? Elementary Algebra / 2 Write one or more complete sentences to answer each question. Answers may vary. 1. How do you know that 43 = 26? Since 43 = 4 x4 x 4 and 26 = 2x 2x 2 x 2x2x2 by grouping pairs of two's (2 x 2)(2 x 2)(2 x 2), it is clear that 43 = 26. %3D %3D %3D 2. How do you know that the value of x that satisfies the equation 4x = 30 is not an integer? %3D x - a 3. How do you know that = -1, where (x # a)? a - x 4. How do you know that (a + b)² # a² + b²? 5. How do you know that (2x - 1) is a factor of 2x2 - 17x + 8? 6. How do you know that if (x - 4)(x - 5)(x - 6) = 0, x cannot be 7? 7. How do you know that the lines represented by the equations 3x = y and y - 3x = 1 are parallel? 8. How do you know that the points (4, 7), (-1, -8), and (0, -5) lie on a straight line?
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