GRACE J.

asked • 09/19/12# 2 questions I want to verify

which expression is equal to "three less than a number multiplied by six"?

I think it's 6x-3

Also

1*(3+7)=(1*3)+(1*7) is distributive. I just want to verify

## 4 Answers By Expert Tutors

When explaining expressions, I always ask the question, “What did you start with?”

“three less than a number multiplied by 6” , implies that you started with 6x and then subtracted 3. This can be verified by asking the learner, “What is three less than ten?

Is it 10-3 or 3-10? Most will agree it is 10-3.

Ann C. answered • 09/22/12

High School Science, ACT, and Elementary/Middle School Tutor

Both of your answers are correct!

To clarify your first equation for other readers: "three less than a number" means the number minus 3, so - 3 will be at the end of the equation. "A number multiplied by 6" means the number times 6. Choose any symbol to represent "a number." Grace chose x as the symbol. So, the expression becomes 6x - 3.

The 2nd equation is an example of using the distributive property to solve a problem.

For 1*(3+7), you multiply 1 by the first term in the parentheses (1*3), then by the second term in the parentheses (1*7). Put a plus sign between the two because there is a plus sign inside the parentheses. So, 1*(3+7) = (1*3) + (1*7). If there had been a minus sign inside the parentheses, there would be a minus sign between the two products. 1*(3-7) = (1*3) - (1*7)

Grace, it looks like you have a good handle on your math!

David P. answered • 09/22/12

Student/tutor - Math/Physics/Programming

In an effort to connect your questions, 6x-3 could also be written as 3*(2x - 1) which equals (3*2x) - (3*1). Just something extra to think about. :)

Nicole C. answered • 09/19/12

Increase confidence in math and science, chemistry, algebra II

GRACE J.

Awesome, quick,and efficient. Thanks!09/19/12

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Nancy N.

You are correct in both equations.

05/11/13