Subscribe

7th grade · Math · Unit 10 of 16

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.

Arizona Academic Standards 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 Arizona

In the Arizona Academic Standards, this is unit 10 of 16 in 7th grade Math, after Percents & Proportions and before Mean, Median & Mode.

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: Arizona 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

    Which shows the solution to n < 8 on a number line?

    • an open circle at 8 with an arrow pointing left
    • an open circle at 8 with an arrow pointing right
    • a closed circle at 8 with an arrow pointing left

  2. Question 2

    Solve for x.

    2x + 17 = 35

    answer box

  3. Question 3

    Solve for x.

    4x − 6 = 34

    answer box

  4. Question 4

    Evaluate 5.0x + 1.2 when x = 5.

    5.0x + 1.2, x = 5

    answer box

  5. Question 5

    What is 12x − 4x + 3x?

    12x − 4x + 3x

    • 19x
    • 11x
    • 5x

  6. Question 6

    What is 5y − 4y?

    5y − 4y

    • 1y
    • 9y
    • 1

More 7th grade