the quotient of 4 more than a number and 7 is 10

Take this algebraic expression in pieces:

The phrase

x

4 more than a number means we add 4 to x:

x + 4

The quotient of 4 more than a number and 7 means we divide x + 4 by 7

(x + 4)/7

The word

If the problem asks you to solve for x, then we cross multiply:

x + 4 = 10 * 7

x + 4 = 70

Subtract 4 from each side:

x + 4 - 4 = 70 - 4

x =

Take this algebraic expression in pieces:

The phrase

*a number*means an arbitrary variable, let's call it x.x

4 more than a number means we add 4 to x:

x + 4

The quotient of 4 more than a number and 7 means we divide x + 4 by 7

(x + 4)/7

The word

*is*means an equation, so we set (x + 4)/7 equal to 10 to get our algebraic expression of:**(x + 4)/7 = 10**

If the problem asks you to solve for x, then we cross multiply:

x + 4 = 10 * 7

x + 4 = 70

Subtract 4 from each side:

x + 4 - 4 = 70 - 4

x =

**66**

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