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6th grade · Math · Unit 10 of 19

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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 6.7(D); 6.9(B) · equivalent expressions, and showing solutions to inequalities on a number line

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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 10 of 19 in 6th grade Math, after Facts & Factors and before Equations.

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: Texas Education Agency (TEA)

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

    What is 5n + n?

    5n + n

    • 6
    • 6n
    • 5n²

  2. Question 2

    Evaluate 2n − 8 when n = 9.

    2n − 8, n = 9

    answer box

  3. Question 3

    Evaluate 4n + 8 when n = 3.2.

    4n + 8, n = 3.2

    answer box

  4. Question 4

    What is 6n + 7n?

    6n + 7n

    • 13
    • 13n
    • 42n

  5. Question 5

    Which shows the solution to n > 2 on a number line?

    • an open circle at 2 with an arrow pointing right
    • a closed circle at 2 with an arrow pointing right
    • an open circle at 2 with an arrow pointing left

  6. Question 6

    Which value of n makes 5n + 9 < 49 true?

    5n + 9 < 49

    • 5
    • 10
    • 8

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