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9th grade · Math · Unit 7 of 22

Expressions

Build, compare and match

What your child practices

Writing an expression for a pattern or a sentence, deciding which expressions are equivalent, expanding brackets, and collecting like terms.

New York State Learning Standards learning standard: AI-A.SSE.1 · building and interpreting expressions in context

How we explain it

Children can open this short lesson before they practice.

  1. An expression uses letters and numbers: 3n + 2.
  2. Equivalent expressions have the same value for every number.
  3. Expand with the distributive property: 2(x + 3) = 2x + 6.

Example: Expand 3(x + 4). 3 × x = 3x. 3 × 4 = 12. Answer: 3x + 12

Expressions in New York

In the New York State Learning Standards, this is unit 7 of 22 in 9th grade Math, after Number Sets and before Lines & Intersections.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Jay has 1 more than 4 times the number of stickers Sam has. If Sam has n stickers, which expression gives the number Jay has?

    • 4n + 1
    • n + 4
    • 4(n + 1)
    • 5n

  2. Question 2

    Which expression is NOT equivalent to 2x + 6?

    • 2(x + 6)
    • 2(x + 3)
    • x + x + 6
    • 6 + 2x

  3. Question 3

    Ana has 7 fewer than 4 times the number of cards Leo has. If Leo has n cards, which expression gives the number Ana has?

    • 7n − 4
    • 7 − 4n
    • 4(n − 7)
    • 4n − 7

  4. Question 4

    Figure n in a pattern uses 5n + 7 tiles. How many tiles does figure 15 use?

    answer box

  5. Question 5

    Which expression is equivalent to 6x + 3 + 4x − 6?

    • 10x + 9
    • 11x + 9
    • 10x − 3
    • 11x − 3

  6. Question 6

    Which expression is equivalent to 4(x + 4)?

    • x + 16
    • 4x + 8
    • 4x + 4
    • 4x + 16

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