Subscribe

7th grade · Math · Unit 9 of 20

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.

New York State Learning Standards learning standard: NY-7.EE.1; NY-7.EE.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 New York

In the New York State Learning Standards, this is unit 9 of 20 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: New York State Education Department (NYSED)

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 + 13 = 125

    answer box

  2. Question 2

    What is 8a − 5a?

    8a − 5a

    • 13a
    • 3a
    • 3

  3. Question 3

    Is x = 4 a solution of 5x + 6 = 26?

    • No
    • Yes

  4. Question 4

    What is 10x − 3x + 2x?

    10x − 3x + 2x

    • 5x
    • 15x
    • 9x

  5. Question 5

    Which shows the solution to n < 6 on a number line?

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

  6. Question 6

    Solve for x.

    7x − 7 = 42

    answer box

More 7th grade