Practice with
 Algebraic Representation
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Translate each of the following into symbols. 
Let x = the number.
Click on the box to the right to check your answers.

1. Three more than five times a number.

 

2. Twice a number decreased by seven.

 

3. Twelve less than eight times a number.

 

4. Twenty diminished by four times a number.

 

5. Fifty increased by three times a number.

 

6. The product of three and a number.

 

7. The sum of triple a number and seventeen.

 

8. The difference of fifty and ten times a number.


 

9. Thirty five diminished by four times a number.

 

10. The quotient of fifteen and twice a number.

 

11. Eight less than the product of five times a number.


Translate each of the following into symbols. 

12. The number of inches in g feet.

 

13. Express the length (in terms of w) of a rectangle which is five more than the width, w.

 

14. The ages of two brothers can be represented as consecutive even integers.  If the younger brother's age is x + 3, represent the age of the older brother.


 

Now, let's go in the other direction.  Convert each of the following mathematical expressions into verbal expressions. 
Click on the box to the right to see one possible answer.

15.    5x - 2


 
16.    x + 1


 
17.    3x + 1


 
18.    x - 4


 
19.