the sum of two times the quantity three minus 6 and 8

Question

translate evaluate

Answer 1

Devin:

 

Break the question down into the following pieces:

 

"Two times the quantity three minus six"  translates to 2*(3-6)

 

"The sum of the above and 8" translates to 2*(3-6) + 8

 

Rest is left to the student.

 

George T

Answer 2

Just in case you can't finish it:

 

2 * (3-6) + 8

 

Parentheses go first (3-6) = -3

 

2 * -3 = -6 + 8 = 2

 

left to right finishes it, but to be clear, multiplication and division go first before addition and subtraction.

Answer 3

Devin,

To create equations like this, you must note key words. Here is a short list of ones you will often see that will indicate which type of equation to use.

Sum- use a + sign

Subtract- use a - sign

Minus- use a - sign

Total- use a + sign

Divide- use a / sign

Multiply- use a * sign
Times- use a * sign

 

Now we can solve an example. Suppose we are asked to write an equation for 3 times the sum of 2 and 5.

Work the equation from left to right. First we have a value 3 and the word 'times' shows that we are multiplying it to another value. Therefore, 

3*

Now we take the next part: the sum of 2 and 5. The word sum tells us to add, so:

2+5

Now we must put the two parts together:

3*(2+5)

Notice that I had to use parentheses around the 2+5 value because we want to multiply 3 by the entire sum, not just by 2 or 5. The parentheses tell you to evaluate that portion of the equation first.

 

If you have any further questions, please let me know. Good luck!