Algebra Class: Expressions and Operations

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Questions and Answers

What is the algebraic expression for 'The sum of a number and 7, multiplied by 3'?

  • 3 + x + 7
  • (3 * x) + 7
  • 3x + 7
  • 3 * (x + 7) (correct)

What is the algebraic expression for 'Nine less than twice a number'?

  • 9 * 2x
  • 2(x - 9)
  • 2x - 9 (correct)
  • 9 - 2x

Which algebraic expression represents 'Two times the difference between a number and five'?

  • 2 * (x + 5)
  • 2 - (x - 5)
  • 2 * (x - 5) (correct)
  • 2x - 5

Which of the following correctly represents 'The quotient of a number and 5, increased by 3'?

<p>x / 5 + 3 (D)</p>
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What is the algebraic expression for 'The product of a number and four, decreased by ten'?

<p>4x - 10 (D)</p>
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If y represents a number, what is the algebraic expression for 'Six more than three times the number'?

<p>6 + 3y (B)</p>
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Flashcards

3 times a number

The product of 3 and the variable representing the number.

The sum of a number and seven

The sum of the variable representing the number and 7.

5 less than a number

Subtract 5 from the variable representing the number.

The product of two numbers, a and b

The product of the variables 'a' and 'b' is represented as their multiplication.

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Seven less than twice a number

Subtract 7 from twice the variable representing the number.

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Study Notes

Algebraic Expressions

  • "3 times a number": 3x (where x represents the number)
  • "The sum of a number and seven": x + 7
  • "5 less than a number": x - 5
  • "The product of two numbers, a and b": ab
  • "Seven less than twice a number": 2x - 7
  • "Fifteen fewer than a number": x - 15
  • "Twice a number": 2x
  • "The quotient of a number and five": x/5 or x ÷ 5
  • "The difference between twenty and a number": 20 - x
  • "Three times the sum of a number and seven": 3(x + 7)

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