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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.

Alaska content standards learning standard: 6.EE.2; 6.EE.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 Alaska

In the Alaska content standards, 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: Alaska Department of Education and Early Development

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 < 38 true?

    3n + 8 < 38

    • 10
    • 7
    • 12

  2. Question 2

    What is 3n + 3n?

    3n + 3n

    • 6
    • 9n
    • 6n

  3. Question 3

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

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

  4. Question 4

    Evaluate 2n + 9 when n = 2.7.

    2n + 9, n = 2.7

    answer box

  5. Question 5

    What is 8a + 5a?

    8a + 5a

    • 13a
    • 40a
    • 13

  6. Question 6

    What is 8x + x?

    8x + x

    • 8x²
    • 9x
    • 9

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