Need help with exercises. Equations etc.

  • Thread starter freakofsome
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In summary, when solving equations, it is important to simplify both sides, isolate the variable using inverse operations, and double check the solution by plugging it back into the original equation. To improve understanding of mathematical concepts, practice and review examples, work through exercises, and try to connect the concepts to real-life situations. When checking work, plug the solution back into the equation and use a calculator for verification. Some common mistakes to avoid include not following the correct order of operations and forgetting to perform the same operation on both sides of the equation. There are also many helpful online resources for practicing equations and exercises, such as Khan Academy, Mathway, Symbolab, and YouTube tutorials.
  • #1
freakofsome
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√x2 + 1 + √x2 – 2x + 3 = 3

│ x-4 │ - │ 2–0,5x│ ≤ 3

│5- x2-6 │= x2-5x-6

x2-2x+3 : x2-4x+3 > -2
 
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  • #2
First, show us the work you have done to solve these equations and inequalities. We're willing to help, but not willing to do your work for you.

Second, you have several expressions written as x2. Is this supposed to be x2? When you're posting something, click Go Advanced, and the menu bar just above the text entry area has a button that inserts the tags for exponents. Use this button to write exponents.
 

Related to Need help with exercises. Equations etc.

1. What are some tips for solving equations?

One tip is to always start by simplifying both sides of the equation. Then, isolate the variable by using inverse operations. Be sure to perform the same operation on both sides of the equation. Finally, check your solution by plugging it back into the original equation.

2. How can I improve my understanding of mathematical concepts?

Practice is key to understanding mathematical concepts. Make sure to review examples, work through exercises, and ask for help when needed. Also, try to connect the concepts to real-life situations to make them more relatable.

3. How can I check my work when solving equations?

You can check your work by plugging your solution back into the original equation. If both sides are equal, then your solution is correct. You can also use a calculator to verify your answer.

4. What are some common mistakes to avoid when solving equations?

One common mistake is not following the correct order of operations. Be sure to use parentheses and solve within them first, then work from left to right. Another mistake is forgetting to perform the same operation on both sides of the equation.

5. Are there any helpful online resources for practicing equations and exercises?

Yes, there are many websites and apps that offer practice exercises and equations with step-by-step solutions. Some popular ones include Khan Academy, Mathway, and Symbolab. You can also find helpful videos and tutorials on YouTube.

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