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6th grade · Math · Unit 11 of 17

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.

Minnesota K-12 Academic Standards benchmark: 6.3.6.3; 6.3.6.1 · expressions, equations and inequalities with variables

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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 11 of 17 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: Minnesota Department of Education (MDE)

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 shows the solution to n > 6 on a number line?

    • an open circle at 6 with an arrow pointing left
    • an open circle at 6 with an arrow pointing right
    • a closed circle at 6 with an arrow pointing right

  2. Question 2

    What is 8n + 5n?

    8n + 5n

    • 13
    • 13n
    • 40n

  3. Question 3

    Evaluate 4n + 5 when n = 2.2.

    4n + 5, n = 2.2

    answer box

  4. Question 4

    Evaluate 6n − 3 when n = 5.

    6n − 3, n = 5

    answer box

  5. Question 5

    What is 6y + 3y?

    6y + 3y

    • 9y
    • 18y
    • 9

  6. Question 6

    Which value of n makes 2n + 1 > 23 true?

    2n + 1 > 23

    • 13
    • 10
    • 9

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