m having an extremely tough time with integers in algebra when simplifying algebraic expressions. No matter which method I use I still end up confused and end up with a completely different answer.
Ex:
5t-{7t-[4r-3(t-7)]+6r}-4r
Start from the inside out.
5t-{7t-[4r-3(t-7)]+6r}-4r
5t-{7t-[4r-3t + 21]+6r}-4r
5t-{7t-4r + 3t - 21+ 6r}-4r
5t-7t + 4r - 3t + 21 - 6r - 4r
Combine like terms.
I hope this helps.
thanks this helps quite a bit.
Simplifying algebraic expressions involving integers can be challenging, but with a systematic approach, you can find the correct answer. Let's break down the steps to simplify the expression you provided:
5t - {7t - [4r - 3(t - 7)] + 6r} - 4r
1. Start by simplifying the innermost parentheses.
- The expression inside the brackets, 4r - 3(t - 7), involves the term t. We need to distribute the -3 to both t and -7.
So, the expression becomes 4r - 3t + 21.
2. Update the expression:
- 5t - {7t - (4r - 3t + 21) + 6r} - 4r
3. Simplify the brackets:
- Distribute the negative sign inside the brackets for 7t - (4r - 3t + 21) to get 7t - 4r + 3t - 21.
- Update the expression: 5t - (7t - 4r + 3t - 21 + 6r) - 4r
4. Simplify further:
- Remove the brackets by changing the sign of each term inside them: 5t - 7t + 4r - 3t + 21 - 6r - 4r
5. Combine like terms:
- Combine the terms with t: 5t - 7t - 3t = -5t.
- Combine the terms with r: 4r - 6r - 4r = -6r.
- Combine the constant terms: 21.
6. Final simplified expression:
- -5t - 6r + 21
Remember that when simplifying algebraic expressions, it's crucial to focus on correctly distributing the signs and combining like terms. Double-check your calculations to avoid errors. If you're still having difficulty, consider practicing more examples or seeking additional resources or assistance from a teacher or tutor.