1.5 module 1 post-test

evaluate the expression $(p + q)2 - (5 - 5)$; use $p = 1$, and $q = 1$

=

Question

1.5 module 1 post-test

evaluate the expression $(p + q)2 - (5 - 5)$; use $p = 1$, and $q = 1$

=

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Evaluating Expressions", "Order of Operations" ], "new_concepts": [], "current_concepts": [ "Evaluating Expressions", "Order of Operations" ] } ## Substitute the given values Using the *Evaluating Expressions* knowledge point $$ \begin{aligned} &p = 1,\quad q = 1\ &(p + q) \cdot 2 - (5 - 5) = (1 + 1) \cdot 2 - (5 - 5) \end{aligned} $$ ## Simplify inside parentheses Using the *Order of Operations* knowledge point $$ \begin{aligned} &1 + 1 = 2\ &5 - 5 = 0\ &(1 + 1) \cdot 2 - (5 - 5) = (2) \cdot 2 - 0 \end{aligned} $$ ## Perform multiplication and subtraction Using the *Order of Operations* knowledge point $$ \begin{aligned} &2 \cdot 2 = 4\ &4 - 0 = 4 \end{aligned} $$ Evaluate the expression $(p + q) \cdot 2 - (5 - 5)$; use $p = 1$, and $q = 1$ = 4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the given values

Simplify inside parentheses

Perform multiplication and subtraction

Answer: