hello can you help me answer one more question on my math test?
Of course! I'll do my best to help you with your math question. Please go ahead and ask.
Ok thanks!
what is the expression 4+8(3x-2)-7x when simplified? Apply the order of operations and the commutative and distributive properties. Show your work.
To simplify the expression 4 + 8(3x - 2) - 7x, we need to apply the order of operations and use the commutative and distributive properties. Here's the step-by-step solution:
1. Start by simplifying within parentheses:
8(3x - 2) = 24x - 16
2. Rewrite the expression with the simplified part:
4 + 24x - 16 - 7x
3. Group similar terms:
(24x - 7x) + (4 - 16)
4. Combine like terms within each group:
17x + (-12)
5. Simplify further:
17x - 12
Therefore, the simplified expression is 17x - 12.
can you make that little bit easier, with more explanation, from a 7th grader's point of view??
Absolutely! Let's break it down step by step:
The expression we need to simplify is 4 + 8(3x - 2) - 7x.
Step 1: Let's deal with what's inside the parentheses first. We have 8 multiplied by (3x - 2).
Think of it as if we have 8 of something, and that something is (3x - 2).
To simplify this, we can multiply 8 by each term inside the parentheses:
8 * 3x = 24x
8 * -2 = -16
After multiplying, we rewrite the expression as 4 + 24x - 16 - 7x.
Step 2: Now, let's group our similar terms together:
We have 24x and -7x.
24x is 24 times x, and -7x is -7 times x. So, when we have x terms, we can add or subtract them.
When we add 24x and -7x, we have 17x.
We rewrite the expression as 17x + 4 - 16.
Step 3: Lastly, we deal with the numbers outside the x terms:
We have 4 and -16.
When we add 4 and -16, we get -12.
Rewriting the expression one more time, we have 17x - 12.
So, the simplified expression is 17x - 12.
I hope this explanation helps you understand the steps better! Let me know if you have any further questions.