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7th grade · Math · Unit 6 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.

Oregon State Standards learning standard: 7.AEE.A.1; 7.AEE.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

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

    Is x = 4 a solution of 2x + 4 = 12?

    • No
    • Yes

  2. Question 2

    Which shows the solution to n ≤ 4 on a number line?

    • a closed circle at 4 with an arrow pointing left
    • an open circle at 4 with an arrow pointing left
    • a closed circle at 4 with an arrow pointing right

  3. Question 3

    What is 11n − 3n + 3n?

    11n − 3n + 3n

    • 11n
    • 17n
    • 5n

  4. Question 4

    What is 9y − 4y + 1y?

    9y − 4y + 1y

    • 14y
    • 4y
    • 6y

  5. Question 5

    Which value of n makes 3n − 1 < 8 true?

    3n − 1 < 8

    • 1
    • 3
    • 5

  6. Question 6

    Solve for x.

    2x + 10 = 14

    answer box

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