# Reading and Writing Expressions

Translate the following into numerical expressions:

- The sum of a number, eight, and seven.
- Three times the sum of a number and nine.
- Four less than four times the difference of ten and a number.
- The mean of a number, five, seven, and twelve.
- Six times the quotient of five and a number is greater than two.
- The difference of eight and a number, divided by four equals the sum of the number and two.
- The difference of two sums: eight and a number and six and another number is at least the sum of the second number and one.
- The sum of eight times a number and three times the same number is less than the difference of the number and ten.
- The difference of eleven times a number and two times another number equals twenty less than the first number.
- The total of six times a number and the same number divided by three is no more than four times the number.

Translate the following expressions, equations, and inequalities into words:

- $3x+9$
- $3(2x+1)$
- $\dfrac{4}{x}+9x$
- $\dfrac{5+x}{2}\leq 42$
- $(3x+7)-(2x+2)>6x$
- $x(5+x)-3<60$
- $x-9\geq 6x$
- $\dfrac{x}{6+x}=6x-y$
- $5x+6y>\dfrac{x}{5y}$
- $5x(\dfrac{x}{6})=7+x$