Calculating distance between the points


Assignment:

Q1. Calculate the value of  |3.7| + |–2.1|. (do not include any absolute value symbols.)

Q2. Calculate the distance between the points -1 / 4 and 5 / 6    and  on the number line. Show work.

Q3. Write the interval notation corresponding to the set notation {x | x < 3}.  (It can be helpful to make a graph, but no graph is required.)

Q4. Simplify (2a6b3)(32a-2b5) / 36a4 . Show work.

Q5. Simplify (-2a-5b0)3(a4b2)5 . Show work.

Q6. Compute 2.2 x 10-3 / 8.8 x 10-7 . Show some work. Write the answer using scientific notation.

Q7. Perform the indicated operations and simplify: (2x – 1)(x + 5) – (x – 3)2 . Show work.

Q8. Factor. (Work not required to be shown).

(a) 3x2 – 11x + 10

(b) 9x2 – 25

(c) 8x3 + 1

Q9. Simplify 1 / x +1 + 2 / x2 -1 . Show work.

Q10. Simplify: 75 - 12 + 3 Show work. Give the exact answer (including a radical).

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Calculating distance between the points
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