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Algebra Language Foundations

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Algebra Language Foundations

Use algebra vocabulary precisely. A term is separated from the next term by + or −; the sign belongs to the term that follows it. Show your thinking where asked.

The mystery snack order

A school canteen packs snack bags. Let b be the number of biscuits in each bag. The order is for 4 bags, plus 3 extra biscuits. Its total is written as 4b + 3.

1.For the expression 4b + 3, identify the coefficient, variable, constant and number of terms.
2.In 7y − 4 + 2y, write each term exactly as it appears, including its sign (except for the first term's implied positive sign).
3.Which two terms in 7y − 4 + 2y are like terms? Explain what makes them like.

Translate the canteen messages

Turn each message into an algebraic expression. Keep the stated variable.

4.Write an expression for three more than twice a number n.
5.Write an expression for the difference between a number y and 6. The number comes first.
6.Write an expression for four times a number x, decreased by 2.
7.Which phrase matches 5p − 8?
  • Eight less than five times p
  • Five less than eight times p
  • Eight more than five times p
  • Five times the difference between p and 8

Algebra message board

Check whether expressions and word descriptions communicate the same calculation.

8.Match each expression to its description. Write the letter beside each number.
  • 1. 2x + 5
  • 2. x − 3
  • 3. 3x
  • B. A number minus three
  • C. Double a number, then add five
  • A. Triple a number
9.In 6m − 9, the coefficient of m is 6 and the constant is −9. Decide whether the statement is true or false.
TrueFalse
10.Riley says, “In 3a + 2, the coefficient is 3a.” Explain the mistake and state the coefficient and variable.
11.Choose a variable and write an expression for “seven less than three times the variable”. Then name its coefficient, variable and constant.

2 printable pages

  • Algebra Language Foundations, page 1 of 2: The mystery snack order, Translate the canteen messages

    Page 1

  • Algebra Language Foundations, page 2 of 2: Algebra message board

    Page 2

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