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Algebra

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1. Express and evaluate the distance between the numbers 84 and -34 using absolute value.
2. -6 (2x-9) -4x+5
3. (x ) -3
4.
5. 2+6 given x = 4
6. ( 8-7w + 2y)
7. 8x+7 given x = -3
8. Simplify 7 completely.
9.
10.
11.
12.
13. Determine whether 15>16 is true or false.
14. 6 + 3
15. Given x = 1 and y = 3

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This solution is comprised of detailed step-by-step calculations and analysis of the given problems and provides students with a clear perspective of the underlying concepts.

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Problem 1: Express and evaluate the distance between the numbers 84 and -34 using absolute value.
Solution: The distance between the numbers 84 and -34 on the number line is given as
|84|+|-34|=84+34=118
Problem 2: Solve -6 (2x-9) -4x+5
Solution:
-6 (2x-9)-4x+5
=-12x+54-4x+5
=-16x+59
Problem 3: ...

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