one-half of a number is 8 less than two-thirds of the number.

write algebraic equation: the sum of x and 8 is 15

write algebraic equation: 4 more than x is 9

write algebraic equation: 5 less than twice x is equal to 35

write algebraic equation: the product of 10 and x is the same as -80

I hated it not helpful

To write algebraic equations for the given statements:

1. "One-half of a number is 8 less than two-thirds of the number."
Let's assume the number as 'x'.
The algebraic equation can be written as: (1/2)x = (2/3)x - 8

2. "The sum of x and 8 is 15."
The algebraic equation can be written as: x + 8 = 15

3. "4 more than x is 9."
The algebraic equation can be written as: x + 4 = 9

4. "5 less than twice x is equal to 35."
The algebraic equation can be written as: 2x - 5 = 35

5. "The product of 10 and x is the same as -80."
The algebraic equation can be written as: 10x = -80

.5x = 2/3x - 8

x + 4 = 9

For these examples, I hope you can do the other two.