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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.

Maine Learning Results learning standard: HSA.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 Maine

In the Maine Learning Results, 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: Maine 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 2x + 8 + 4x + 1?

    • 7x + 7
    • 6x + 7
    • 7x + 9
    • 6x + 9

  2. Question 2

    Which expression is NOT equivalent to 3x + 9?

    • x + 2x + 9
    • 9 + 3x
    • 3(x + 9)
    • 3(x + 3)

  3. Question 3

    If n = 11, what is the value of 7n − 4?

    answer box

  4. Question 4

    Figure n in a pattern uses 3n + 1 tiles. How many tiles does figure 15 use?

    answer box

  5. Question 5

    Which expression gives the number of tiles in figure n?

    Figure nTiles
    111
    213
    315
    417
    • 9n + 2
    • 2n + 9
    • 2n − 9
    • 11n

  6. Question 6

    Ana has 7 fewer than 6 times the number of cards Leo has. If Leo has n cards, which expression gives the number Ana has?

    • 6(n − 7)
    • 7n − 6
    • 6n − 7
    • 7 − 6n

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