Into an equation

Question

Eight times the sum of a number and 5 is 7

Answer 1

Let's translate from English into math:

Eight times: 8*?

the sum of a number and 5: x+5

is 7: = 7

Now put it together in an equation: 8(x+5)=7

To solve this equation, first distribute the 8:

8x +40 = 7

Then subtract 40 from both sides:

8x=-33

Finally, divide by 8:

x=-33/8

Check your solution!

8*(-33/8+5) = -33 + 40 = 7 :-)

Answer 2

8(x+5)=7

8x+40 = 7

8x= 7-40 = -33

x = -33/8

Answer 3

8 * (x+5) = 7

follow the order or operations and the way the question is phrased, when it says "8 times the sum of a number and 5" you want to add two numbers and multiply by 8 to get 7. This takes practice more than anything. Let me know if you need any more help !

Answer 4

You want to first turn a word question into an algebraic expression.

we need a number : x

that when added to 5: x+5

times 8 : (x+5) * 8

will equal 7 : (x+5) * 8 = 7

From there all we need to do is move variables around and solve for x:

(x+5) = 7/8

x = 7/8 - 5

plug this into a calculator or do fraction addition and you have your answer!

Answer 5

8(x+5)=7

8x+40 =7

8x =7-40 = -33

x =-33/8