Translating and Solving Equations

Two times a number decreased by three is five.

• 2n-3=5
• 3n-2=5
• 2(n+3)=5
• 2x=5

Two times a number decreased by three is five.  Find the number.

• 3
• 4
• 5
• 6

Nine less than half of a number is two.

• 2n-9=2
• (n/2)-9=2
• 9-2n=2

Nine less than half of a number is two.  Find the number.

• 22
• 11
• 0
• -1

Two less than one-third of a number is sixty-nine.

• (n/3)-2=69
• 3n-2=69
• -2-(n/3)=69

Two less than one-third of a number is sixty-nine.  Find the number. 

• 213
• 74
• 18
• 185

Four more than a number divided by 5 is sixteen.

• (n/5)+4=16
• (5/n)+4=16
• 5n+4=16
• 5n+16=4

Four more than a number divided by 5 is sixteen.  Find the number. 

• 60
• 80
• 100
• 120

The quotient of a number and negative eight is negative twenty-four.

• (-8/n)=-24
• -8n=-24
• (n/-8)=-24
• -8+n=-24

The quotient of a number and negative eight is negative twenty-four.  Find the number.

• -192
• 192
• -16
• 16