Purchase Solution

Removing Symbols and Grouping Like Terms

Not what you're looking for?

Ask Custom Question

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: ____________

Purchase this Solution
Solution Summary

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

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 provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

View More Free Quizzes
Related BrainMass Solutions

  • Matching grouping symbols in arithmetic expression in C++

    For example, the expression "{25+(3-6)*8}" contains matching grouping symbols (curly braces and parentheses), while in case of "[25+{3-6)*8]" only matching grouping symbols are square brackets and curly brace and parentheses are unmatched.

  • Algebra Questions

    Answer: The like terms are the terms with common factors, such as variables of the same degree or terms with common rational factors. For example, x^2 and 3x^2 are like terms, 3sqrt(2) and 2sqrt(2) are also like terms. 2.

  • Factoring and Trinomials

    Trinomials are polynomials that have three terms (like x2 + x + 1).

  • MTH 209 Discussion Question.

    This method is usually done when you have a trinomial which can be expanded t0 4 terms and then can result in some common factors.

  • Use of Flowcharts in Accounting Information Systems

    d) Developing a context diagram e) Identifying data flows f) Grouping data flows g) Identifying transformation processes h) Grouping transformation processes i) Identifying all files or data flows j) Identifying all data sources and destinations

  • Rational expressions and least common multiple

    Multiply and simplify 7. Multiply and simplify (Simplify your answer) Factor the trinomials first: By grouping, By perfect square formula: Then cancel out the common factors in the numerator and denominator: 8.

  • Language Questions

    thinking in terms of cognition necessary to process language?

  • Solving Equations and Finding a Vertex

    Solve for x First remove all the parentheses and simplify the like terms: Factor the trinomial by grouping: So Two solutions: x = -1 or x = 2. E.

  • Algebra Problems

    It is because in simplifying expressions, grouping terms is one of the techniques. It is easier to simplify when grouping terms and perform operations within the group. This posting contains solution to the given problems.

View More Related Solutions