Answer:

Write the given phrases as an algebraic expression or algebraic equation.

1.) Two added to a number is fifty.

• Answer: 2 + x = 50
• Explanation: The mathematical phrase "two added to a number is fifty" translated into an algebraic equation is 2 + x = 50. The "x" represents the number, the "added to" means that you have to add a number from two and "is" that is signs of equal.

2.) Three diminished by a number equals nine.

• Answer: 3 - x = 9
• Explanation: The mathematical phrase "three diminished by a number equals nine" translated into the an algebraic equation is 3 - x = 9. The "x" represents the number, the "diminished" means that you have to subtract a number from three and the "equals" is sign of equal.

3.) Two times a number equals twenty.

• Answer: 2x = 20
• Explanation: the mathematical phrase "two times a number equals twenty" translated into the an algebraic equation is 2x = 20. The "x" represents the number, the "times" means that you have to multiply a number from two.

4.) Three more than twice a number is ten.

• Answer: 3 + 2x = 10
• Explanation: The mathematical phrase "three more than twice a number is ten" translated into the an algebraic equation is 3 + 2x = 10. The "x" represents the number, the "more than" means that you have to add twice a number from three and the "is" that is signs of equal.

5.) Two increased by half of a number.

• Answer: 2 + 1/x
• Explanation: The mathematical phrase "two increased by half of a number" translated into an algebraic expression is 2 + 1/x. The "x" represents the number and the "increased by" means that you have to add half of a number from two.

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