Q5. - Algebra 1

Question

Translate each sentence into an equation.

The sum of 8 and three times k equals the difference of 5 times k and 3.

 

Step-by-Step Solution

Answer

The equation of the given statement is $8+3k=5k-3$.

Step 1. Given information.

We have a sentence ‘’ The sum of q and four times t is equal to 29’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, the sum of 8 and three times k, in algebraic expression can be expressed as

$8+3k$

And the statement, the difference of 5 times k and 3, can be expressed as

 $5k-3$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are the same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$8+3k=5k-3$.