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6th grade · Math · Unit 11 of 21

Algebra Moves

Monomials and inequalities

What your child practices

Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.

New York State Learning Standards learning standard: NY-6.EE.2; NY-6.EE.3; NY-6.EE.4; NY-6.EE.8 · evaluating expressions with letters for numbers, combining like terms to write equivalent expressions such as y + y + y = 3y, and writing inequalities of the form x > c or x < c

How we explain it

Children can open this short lesson before they practice.

  1. A variable is a letter that stands for a number.
  2. Add like terms: 3n + 2n = 5n.
  3. To evaluate, replace the letter with its number, then use the order of operations.

Example: Evaluate 2n + 3 when n = 4. Replace n with 4: 2 × 4 + 3. Multiply first: 8. Then add: 8 + 3 = 11. Answer: 11

Algebra Moves in New York

In the New York State Learning Standards, this is unit 11 of 21 in 6th grade Math, after Integers & Decimals and before Data & Graphs.

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

    Which value of n makes 3n + 8 > 26 true?

    3n + 8 > 26

    • 6
    • 4
    • 8

  2. Question 2

    Evaluate 4n − 3 when n = 10.

    4n − 3, n = 10

    answer box

  3. Question 3

    Which value of n makes 3n + 5 < 23 true?

    3n + 5 < 23

    • 8
    • 6
    • 3

  4. Question 4

    What is 8n + 8n?

    8n + 8n

    • 16n
    • 16
    • 64n

  5. Question 5

    What is 4y + y?

    4y + y

    • 4y²
    • 5y
    • 5

  6. Question 6

    What is 6n + 5n?

    6n + 5n

    • 11n
    • 11
    • 30n

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