Answer :
Alright, let's translate each given statement into its respective algebraic expression or equation:
1. Two more than a number (x):
[tex]\[ x + 2 \][/tex]
2. Two less than a number (x):
[tex]\[ x - 2 \][/tex]
3. Half of a number (x):
[tex]\[ \frac{x}{2} \][/tex]
4. Twice a number (x):
[tex]\[ 2x \][/tex]
5. Two decreased by a number (x):
[tex]\[ 2 - x \][/tex]
6. The quotient of a number (x) and 12:
[tex]\[ \frac{x}{12} \][/tex]
7. Twice a number (x) decreased by 15 is equal to -27:
[tex]\[ 2x - 15 = -27 \][/tex]
8. Nine less than 7 times some number (x) is -6:
[tex]\[ 7x - 9 = -6 \][/tex]
9. The sum of a number (x) and eight is less than 2:
[tex]\[ x + 8 < 2 \][/tex]
10. Eleven increased by a number (x) is -12:
[tex]\[ 11 + x = -12 \][/tex]
11. Seven plus five times a number (x) is greater than or equal to -9:
[tex]\[ 7 + 5x \geq -9 \][/tex]
12. Eight times a number (x) increased by 6 is 62:
[tex]\[ 8x + 6 = 62 \][/tex]
13. One half of a number (x) is equal to 14:
[tex]\[ \frac{x}{2} = 14 \][/tex]
14. Six less than 8 times a number (x) is equal to 14:
[tex]\[ 8x - 6 = 14 \][/tex]
15. A number (x) divided by 9:
[tex]\[ \frac{x}{9} \][/tex]
16. A number decreased by 8 is equal to 14:
[tex]\[ x - 8 = 14 \][/tex]
1. Two more than a number (x):
[tex]\[ x + 2 \][/tex]
2. Two less than a number (x):
[tex]\[ x - 2 \][/tex]
3. Half of a number (x):
[tex]\[ \frac{x}{2} \][/tex]
4. Twice a number (x):
[tex]\[ 2x \][/tex]
5. Two decreased by a number (x):
[tex]\[ 2 - x \][/tex]
6. The quotient of a number (x) and 12:
[tex]\[ \frac{x}{12} \][/tex]
7. Twice a number (x) decreased by 15 is equal to -27:
[tex]\[ 2x - 15 = -27 \][/tex]
8. Nine less than 7 times some number (x) is -6:
[tex]\[ 7x - 9 = -6 \][/tex]
9. The sum of a number (x) and eight is less than 2:
[tex]\[ x + 8 < 2 \][/tex]
10. Eleven increased by a number (x) is -12:
[tex]\[ 11 + x = -12 \][/tex]
11. Seven plus five times a number (x) is greater than or equal to -9:
[tex]\[ 7 + 5x \geq -9 \][/tex]
12. Eight times a number (x) increased by 6 is 62:
[tex]\[ 8x + 6 = 62 \][/tex]
13. One half of a number (x) is equal to 14:
[tex]\[ \frac{x}{2} = 14 \][/tex]
14. Six less than 8 times a number (x) is equal to 14:
[tex]\[ 8x - 6 = 14 \][/tex]
15. A number (x) divided by 9:
[tex]\[ \frac{x}{9} \][/tex]
16. A number decreased by 8 is equal to 14:
[tex]\[ x - 8 = 14 \][/tex]