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9th grade · Math · Unit 11 of 16

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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: A.10(D) · rewriting expressions with the distributive property

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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 11 of 16 in 9th grade Math, after Polynomials and before Factoring & Quadratics.

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: Texas Education Agency (TEA)

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

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

    answer box

  2. Question 2

    Jay has 1 more than 2 times the number of stickers Sam has. If Sam has n stickers, which expression gives the number Jay has?

    • n + 2
    • 2(n + 1)
    • 2n + 1
    • 3n

  3. Question 3

    Which expression is equivalent to 4x + 6 + 2x − 7?

    • 6x − 1
    • 7x + 13
    • 7x − 1
    • 6x + 13

  4. Question 4

    Figure n in a pattern uses 5n + 4 tiles. How many tiles does figure 8 use?

    answer box

  5. Question 5

    Which expression is NOT equivalent to 4x + 20?

    • 4(x + 20)
    • 20 + 4x
    • 4(x + 5)
    • x + 3x + 20

  6. Question 6

    Which expression gives the number of tiles in figure n?

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

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