Seven times the sum of a number and one is 35. What is the number?

Question

Seven times the sum of a number and one is 35. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
x as your variable.

The equation is
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B) Solve your equation in part [A] for
x
.
x.

Answer:
x
=
x=

Answer 1

This is a multi-step question so we must first create an equation using x as the unknown. In this case, a number is the unknown. So if 7 times the sum of x and 1 is 35, the equation would look like this:

7 (x+1)=35

(x+1) must be in parentheses because the problem says 7 times the sum of x and 1. The 7 needs to be distributed to both the x and 1 (the sum of those two numbers) which only happens if the (x+1) is within the parentheses.

 

Once we have the equation, we simply need to solve for x.

7(x+1)=35

Distribute the 7 to everything within the parenthes: 7x+7=35

Subtract 7 from both sides: 7x=28

Divide both sides by 7: x=4

 

We can check our work by replacing x in the equation with our answer: 4

 

So 7(x+1)=35 becomes    7 (4+1)=35     7(5)=35

So after checking our work, we find that x=4

 

Hope this helps!