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6th grade · Math · Unit 10 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.

Maine Learning Results learning standard: 6.EE.A.2; 6.EE.B.8 · evaluating expressions with letters for numbers 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 Maine

In the Maine Learning Results, this is unit 10 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: 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

    Evaluate 3n + 8 when n = 1.9.

    3n + 8, n = 1.9

    answer box

  2. Question 2

    Which value of n makes 4n + 7 < 55 true?

    4n + 7 < 55

    • 14
    • 10
    • 12

  3. Question 3

    What is 2x + 9x?

    2x + 9x

    • 11x
    • 11
    • 18x

  4. Question 4

    What is 8n + n?

    8n + n

    • 9
    • 8n²
    • 9n

  5. Question 5

    Which shows the solution to n < 7 on a number line?

    • an open circle at 7 with an arrow pointing left
    • an open circle at 7 with an arrow pointing right
    • a closed circle at 7 with an arrow pointing left

  6. Question 6

    What is 5n + 4n?

    5n + 4n

    • 20n
    • 9
    • 9n

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