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9th grade · Math · Unit 7 of 17

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.

Arizona Academic Standards learning standard: A1.A-SSE.A.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 Arizona

In the Arizona Academic Standards, this is unit 7 of 17 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: Arizona Department of Education

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

    Which expression is equivalent to 4x + 7 + 5x − 5?

    • 9x + 12
    • 10x + 2
    • 9x + 2
    • 10x + 12

  2. Question 2

    Which expression is NOT equivalent to 3x + 6?

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

  3. Question 3

    Figure n in a pattern uses 4n + 2 tiles. How many tiles does figure 17 use?

    answer box

  4. Question 4

    Which expression gives the number of tiles in figure n?

    Figure nTiles
    110
    216
    322
    428
    • 6n − 4
    • 6n + 4
    • 4n + 6
    • 10n

  5. Question 5

    Which expression is equivalent to 2(x − 7)?

    • x − 14
    • 2x − 7
    • 2x − 14
    • 2x − 9

  6. Question 6

    Ana has 3 fewer than 6 times the number of cards Leo has. If Leo has n cards, which expression gives the number Ana has?

    • 3 − 6n
    • 6n − 3
    • 6(n − 3)
    • 3n − 6

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