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7th grade · Math · Unit 10 of 17

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.

Maine Learning Results learning standard: 7.EE.A.1; 7.EE.B.4 · 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 Maine

In the Maine Learning Results, this is unit 10 of 17 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: 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

    Solve for x.

    8x + 9 = 25

    answer box

  2. Question 2

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

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

  3. Question 3

    Solve for x.

    5x − 19 = 21

    answer box

  4. Question 4

    Solve for x.

    8x + 6 = 22

    answer box

  5. Question 5

    Evaluate 2.6x + 5.8 when x = 3.

    2.6x + 5.8, x = 3

    answer box

  6. Question 6

    Which value of n makes 4n − 3 < 9 true?

    4n − 3 < 9

    • 0
    • 5
    • 3

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