Reading/Writing Algebraic Expressions

Practice Problems:

• Reading and Writing Expressions

  Translate the following into numerical expressions:

  1. The sum of a number, eight, and seven.
  2. Three times the sum of a number and nine.
  3. Four less than four times the difference of ten and a number.
  4. The mean of a number, five, seven, and twelve.
  5. Six times the quotient of five and a number is greater than two.
  6. The difference of eight and a number, divided by four equals the sum of the number and two.
  7. 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.
  8. The sum of eight times a number and three times the same number is less than the difference of the number and ten.
  9. The difference of eleven times a number and two times another number equals twenty less than the first number.
  10. 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:

  11. $3x+9$
  12. $3(2x+1)$
  13. $\dfrac{4}{x}+9x$
  14. $\dfrac{5+x}{2}\leq 42$
  15. $(3x+7)-(2x+2)>6x$
  16. $x(5+x)-3<60$
  17. $x-9\geq 6x$
  18. $\dfrac{x}{6+x}=6x-y$
  19. $5x+6y>\dfrac{x}{5y}$
  20. $5x(\dfrac{x}{6})=7+x$