Q66. - Algebra 1

Question

Translate the sentence “twice a number t decreased by eight equals seventy” into an equation.

Step-by-Step Solution

Answer

In equation form, the sentence “twice a number t decreased by eight equals seventy” is written as $2t-8=70$.

Step-1. Given information.

Twice a number t decreased by eight equals seventy.

Step-2. General meaning of the given statement.

In the given statement t is a variable.

Now, “twice a number t” implies double the value of t or just adding t to itself, which results in $2t$.

Twice a number t decreased by eight implies that the value 8 is subtracted from $2t$ which results in $2t-8$.

Step-3. General meaning of equals.

In general, “equal” is used between two expressions which means both the expressions have the same values and is denoted by the symbol “=”.

So, twice a number t decreased by eight equals seventy implies.

$2t-8=70$.

Hence in equation form “twice a number t decreased by eight equals seventy” is written as $2t-8=70$.