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7th grade · Math · Unit 19 of 22

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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.10(B); 7.11(B) · two-step equations and inequalities on a number line, and checking solutions

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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 19 of 22 in 7th grade Math, after Two-Step Equations and before Angle Relationships.

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

    Solve for x.

    7x − 16 = 82

    answer box

  2. Question 2

    Solve for x.

    3x − 15 = -6

    answer box

  3. Question 3

    Which value of n makes 5n − 6 < 39 true?

    5n − 6 < 39

    • 9
    • 6
    • 11

  4. Question 4

    What is 12n − 5n?

    12n − 5n

    • 17n
    • 7n
    • 7

  5. Question 5

    Evaluate 1.1x + 4.7 when x = 7.

    1.1x + 4.7, x = 7

    answer box

  6. Question 6

    What is 5x − 2x + 2x?

    5x − 2x + 2x

    • 9x
    • 1x
    • 5x

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