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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.

Arizona Academic Standards learning standard: 6.EE.A.1; 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 Arizona

In the Arizona Academic 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: Arizona 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 7n − 7 when n = 3.

    7n − 7, n = 3

    answer box

  2. Question 2

    Which shows the solution to n > 5 on a number line?

    • an open circle at 5 with an arrow pointing right
    • a closed circle at 5 with an arrow pointing right
    • an open circle at 5 with an arrow pointing left

  3. Question 3

    Which value of n makes 2n + 8 > 26 true?

    2n + 8 > 26

    • 8
    • 12
    • 7

  4. Question 4

    What is 4a + 4a?

    4a + 4a

    • 8
    • 16a
    • 8a

  5. Question 5

    Which shows the solution to n > 9 on a number line?

    • an open circle at 9 with an arrow pointing left
    • an open circle at 9 with an arrow pointing right
    • a closed circle at 9 with an arrow pointing right

  6. Question 6

    What is 9y + y?

    9y + y

    • 9y²
    • 10
    • 10y

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