Solving and Translating Equations

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

Nine times the quantity of a number plus four is eight more than five times the number.

• 9(n+4)=8+5n

• 9n+4 = 8+5n

• 9+4n= 8+5n

Nine times the quantity of a number plus four is eight more than five times the number.  Find the number. 

• 7

• -7

• 3

• -3

Three-eighths of a number is twenty-seven.

• (3/8)n=27

• (8/3)n=27

• 3 +8n= 27

• 38n=27