q. nora is thinking of a number. she says that if you add 9 to her number, then multiply the sum by 7, the result will be -70. what number is nora thinking of?

a. -19
b. 23
c. -12
d. 21

Question

q. nora is thinking of a number. she says that if you add 9 to her number, then multiply the sum by 7, the result will be -70. what number is nora thinking of?

a. -19
b. 23
c. -12
d. 21

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Translation", "Algebraic Modeling" ], "new_concepts": [], "current_concepts": [ "Algebraic Translation", "Algebraic Modeling", "Linear Equations" ] } ## Translate the word problem into an algebraic equation $$ 7(x + 9) = -70 $$ ## Solve for the unknown number $$ \begin{aligned} x + 9 &= \frac{-70}{7} \ x + 9 &= -10 \ x &= -10 - 9 \ x &= -19 \end{aligned} $$

(A) -19

(B) 23

(C) -12

(D) 21

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Translate the word problem into an algebraic equation

Solve for the unknown number

Answer: