which terms are like terms?

drag the tiles to the boxes to form correct pairs. not all tiles will be used.

pairs

tiles
$10x^3y$
$4x^3y^3$
$2x^3y^3$
$7x^3$
$8y^3$
$8xy^3$
$9xy^3$
$y^3$
$-2x^3y$

Question

which terms are like terms?

drag the tiles to the boxes to form correct pairs. not all tiles will be used.

pairs

tiles
$10x^3y$
$4x^3y^3$
$2x^3y^3$
$7x^3$
$8y^3$
$8xy^3$
$9xy^3$
$y^3$
$-2x^3y$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Like Terms" ], "current_concepts": [ "Like Terms", "Polynomial Terms" ] } ## Identify variable parts of each tile $$ \begin{aligned} &10x^3y \implies x^3y \ &4x^3y^3 \implies x^3y^3 \ &2x^3y^3 \implies x^3y^3 \ &7x^3 \implies x^3 \ &8y^3 \implies y^3 \ &8xy^3 \implies xy^3 \ &9xy^3 \implies xy^3 \ &y^3 \implies y^3 \ &-2x^3y \implies x^3y \end{aligned} $$ ## Match terms with identical variable parts $$ \begin{aligned} &x^3y: \quad 10x^3y \longleftrightarrow -2x^3y \ &x^3y^3: \quad 4x^3y^3 \longleftrightarrow 2x^3y^3 \ &y^3: \quad 8y^3 \longleftrightarrow y^3 \ &xy^3: \quad 8xy^3 \longleftrightarrow 9xy^3 \end{aligned} $$ The correct pairs of like terms are: - $10x^3y$ and $-2x^3y$ - $4x^3y^3$ and $2x^3y^3$ - $8y^3$ and $y^3$ - $8xy^3$ and $9xy^3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Like Terms" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify variable parts of each tile

Match terms with identical variable parts

Answer: