Subscribe

7th grade · Math · Unit 9 of 15

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.

Minnesota K-12 Academic Standards benchmark: 7.3.6.1; 7.3.6.2 · equivalent expressions, and two-step 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 Minnesota

In the Minnesota K-12 Academic Standards, this is unit 9 of 15 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: Minnesota Department of Education (MDE)

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.

    9x + 5 = 68

    answer box

  2. Question 2

    Which value of n makes 3n − 6 > 27 true?

    3n − 6 > 27

    • 12
    • 9
    • 11

  3. Question 3

    Is x = 3 a solution of 6x + 5 = 35?

    • No
    • Yes

  4. Question 4

    What is 10n − 2n + 4n?

    10n − 2n + 4n

    • 12n
    • 16n
    • 4n

  5. Question 5

    Evaluate 4.8x + 5.1 when x = 7.

    4.8x + 5.1, x = 7

    answer box

  6. Question 6

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

More 7th grade