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# Removing Symbols and Grouping Like Terms

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1. Simplify: Remove the symbols of grouping and combine like terms.

5[3(4x - 2) - 3(6 - x)] + 7

2. Subtract (18x2 - 5x + 4) from (3x2 - 3x - 8)

3. Simplify: (27a3 b6 )2/3

4. Simplify: (102x+1)(104x)

#6 & 7: Perform the indicated operations and simplify where possible.

7. Divide: (18x3 - 12x2y2 + 6xy)(2xy)

9. Combine and answer in simplest form:

10. Simplify: Rationalize the denominator

11. Solve for x: 2(4x + 7) - x = 12 - (6 - 2x)

12. Solve the following literal equation for x: a (x + 5) = 2b
x =

13. Solve the following inequality for x: 5 - 3x > 26

14. Solve the following inequality and express the solution set using interval notation. Type your work.
2x + 7 > 17

-18 < 5x - 2 < 8

1.) Divide: (4x3 - 3x + 2) (x+1)

1b) What is the remainder?

2.) For the problem below make sure that you answer each part.
Perform the indicated operations and simplify:

2a) The first term simplified is __________

2b) The second term simplified is ____________

2c) The third term simplified is ____________

2d) The final answer, when like terms are combined is __________________

3. Rationalize the denominator and simplify: (Answer each part below.)

3a) To rationalize the denominator you must multiply the numerator and the denominator by _______________.

3b) After doing the above multiplication but before simplifying the numerator is _____________

3c) The final answer, in simplest form:

numerator: ______________

denominator: ____________

https://brainmass.com/math/basic-algebra/removing-symbols-grouping-terms-49355

#### Solution Preview

solve
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1. Simplify: Remove the symbols of grouping and combine like terms.

5[3(4x - 2) - 3(6 - x)] + 7
=5[15x-24]+7
=75x-113

2. Subtract (18x2 - 5x + 4) from (3x2 - 3x - 8)

(18x2 - 5x + 4) - (3x2 - 3x - 8)=15x2-2x+12

3. Simplify: (27a3 b6 )2/3

(27a3 b6 )2/3 =(3ab^2)^2=9a^2b^4

4. Simplify: (102x+1)(104x)

(102x+1)(104x) =10608x^2+104x

You don't provide the question

#6 & 7: Perform the indicated operations and simplify where possible.

7. Divide: (18x3 - 12x2y2 + 6xy)(2xy)

(18x3 - 12x2y2 + 6xy)(2xy) =

8. Given the following radical, write it ...

#### Solution Summary

The expert examines removing symbols and grouping like terms. The expert subtracts and simplifies functions.

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