write each expression using n as your variable.then simplify fully.
1.five more than the sum of a number and ten.
2.the product of eight and seven less than a number.
3.the quotient of a number and three, increased by one.
4.ten less than the product of six and eight less than a number.
5.the difference of one less than a number and twice the number.
6.a number times its opposite, increased by seven.
a product that is less than 3 over 4
1. (10+n) + 5 = 15 + n.
2. 8*7 - n
3. n/3 + 1.
4. 6*8 - 10 - n = 38 - n.
5. (n-1) - 2 = n - 3.
6. n*(-n) + 7 = -n^2 + 7.
1. n + 10 + 5 = n + 15
2. 8(n - 7)
3. (n/3) + 1
4. 6(n - 8) - 10 = 6n - 48 - 10 = 6n - 58
5. (n - 1) - 2n = n - 1 - 2n = -n - 1
6. n(-n) + 7 = -n^2 + 7
Sure, let's simplify each expression fully using the variable "n."
1. Five more than the sum of a number and ten:
The sum of a number and ten is (n + 10), and five more than that would be (n + 10 + 5) = (n + 15).
2. The product of eight and seven less than a number:
Seven less than a number is (n - 7), and the product of eight and that would be 8(n - 7).
3. The quotient of a number and three, increased by one:
The quotient of a number and three is (n/3), and increased by one would be (n/3 + 1).
4. Ten less than the product of six and eight less than a number:
Eight less than a number is (n - 8), and the product of six and that would be 6(n - 8). Ten less than that would be (6(n - 8) - 10).
5. The difference of one less than a number and twice the number:
One less than a number is (n - 1), and twice the number would be 2n. The difference between them would be (n - 1 - 2n) = (-n - 1).
6. A number times its opposite, increased by seven:
The opposite of a number is (-n), and a number times its opposite would be (-n * n). Increased by seven would be (-n * n + 7).
So, the simplified expressions in terms of "n" are:
1. n + 15
2. 8(n - 7)
3. (n/3 + 1)
4. 6(n - 8) - 10
5. -n - 1
6. -n^2 + 7