Practice with Algebraic Representation Topic Index | Algebra Index | Regents Exam Prep Center

Translate each of the following into symbols.
Let x = the number.

 1 Three more than five times a number. Answer 3 + 5x

 2 Twice a number decreased by seven. Answer 2x - 7 REMEMBER Twice means 2 times

 3 Twelve less than eight times a number. Answer 8x - 12 REMEMBER less than changes the order.

 4 Twenty diminished by four times a number. Answer 20 - 4x

 5 Fifty increased by three times a number. Answer 50 + 3x

 6 The product of three and a number. Answer 3x

 7 The sum of triple a number and seventeen. Answer 3x + 17

 8 The difference of fifty and ten times a number. Answer 50 - 10x

 9 Thirty five diminished by four times a number. Answer 35 - 4x

 10 The quotient of fifteen and twice a number. Answer 15 / (2x)

 11 Eight less than the product of five times a number. Answer 5x - 8

Translate each of the following into symbols.

 12 The number of inches in g feet. Answer 12g

 13 Express the length (in terms of w) of a rectangle which is five more than the width, w. Answer w + 5

 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. Answer x + 5

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

 15 5x - 2 Answer five times a number diminished by 2

 16 x + 1 Answer a number increased by one

 17 3x + 1 Answer triple a number increased by one

 18 x - 4 Answer four less than a number

 19 Answer the quotient of a number and nine

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