# Removing Symbols and Grouping Like Terms

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)

5. Simplify and express your answer with positive exponents only.

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

6. Multiply and simplify your answer: (5x - 2)2

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

8. Given the following radical, write it in simplest radical form:

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

15. Solve the following inequality and express your answer in interval notation. Type your work.

-18 < 5x - 2 < 8

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

1a) Write the expression that is your answer without the remainder.

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: ____________

Â© BrainMass Inc. brainmass.com December 15, 2022, 4:52 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/removing-symbols-grouping-terms-49355

#### Solution Preview

Please see the attached file.

solve

________________________________________

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

5. Simplify and express your answer with positive exponents only.

You don't provide the question

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

6. Multiply and simplify your answer: (5x - 2)2

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.