4.3 Translate Equations

10 less that half a number is equivalent to 8.  

• 10 - 1⁄2x = 8 
• 1⁄2x + 10 = 8
• 1⁄2x - 10 = 8
• 10x - 0.5 = 8

• Seven times a number decreased by six is ten.

• The quantity of six times a number plus seven is ten.

• Six more than seven times a number is ten.

• Seven more than six times a number is ten.

Translate: Six fewer than twice a number is four.

• 6 - 2x = 4
• 2x - 6 = 4
• x² - 6 = 4
• 6 - x² = 4

Translate: Five less than the product of seven and a number is the same as thirteen.

• 7s - 5 = 13
• 5 - 7 + s = 13
• 13 = 7(s - 5) 
• 5 - 7s = 13

12 less than the quotient of a number and 3 is 24.

• (n ÷ 3) − 12 = 24
• 12 − (n ÷ 3) = 24
• (n ÷ 12) − 3 = 24
• 3 − (n ÷ 12) = 24

54 fewer than a number, k, is equal to 100.

• k − 54 = 100
• 100 − k = 54
• 54 − k = 100
• 100 − 54 = k

Choose the equation that represents this sentence:

2 times a number x added to 5 is 18.

• 2x + 5 = 18

• 2x + 18 = 5

• 7x = 18

Choose the equation that represents this sentence:

4 less than -6 multiplied by a number n is 60.

• 4 - 6n = 60

• -6n - 4 = 60

• 60 - 4 = -6n

• -6n + 4 = 60

Choose the equation that represents this sentence:

A number t increased by 4 is -13.

• 4 - t = -13

• t - 4 = -13

• 4t = -13

• t + 4 = -13

Translate:

Twelve less than the quotient of a number and three is twenty-four.

• n / 3 − 12 = 24

• 12 − n / 3 = 24

• n /12 − 3 = 24