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7th grade · Math · Unit 10 of 18

Algebra Moves

Like terms and inequalities

What your child practices

Combining like terms, evaluating expressions with decimals, solving two-step equations, and finding and graphing solutions to inequalities.

Alabama Course of Study content standard: 7.6; 7.9 · writing equivalent expressions and solving equations and inequalities

How we explain it

Children can open this short lesson before they practice.

  1. Combine like terms: 5x + 2x = 7x.
  2. Do the same operation to both sides to keep an equation balanced.
  3. To check, put your answer back into the equation.

Example: Solve 3x + 4 = 19. Subtract 4 from both sides: 3x = 15. Divide both sides by 3: x = 5. Answer: x = 5

Algebra Moves in Alabama

In the Alabama Course of Study, this is unit 10 of 18 in 7th grade Math, after Percents & Proportions and before Dependent Events.

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: Alabama State Department of Education (ALSDE)

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 4.9x + 1.8 when x = 2.

    4.9x + 1.8, x = 2

    answer box

  2. Question 2

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

  3. Question 3

    Solve for x.

    8x − 2 = 110

    answer box

  4. Question 4

    Which value of n makes 3n − 2 > 13 true?

    3n − 2 > 13

    • 7
    • 4
    • 3

  5. Question 5

    What is 12x − 7x?

    12x − 7x

    • 5x
    • 19x
    • 5

  6. Question 6

    Solve for x.

    5x + 2 = 22

    answer box

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