one number is 40 more than another. their product is $-400$.

step 1 of 2: set up an equation to solve the given word problem. let $x$ be the smaller number.

answer
$x(40x) = -400$
$x(x + 40) = -400$
$x + x + 40 = -400$
$x(x - 40) = -400$

Question

one number is 40 more than another. their product is $-400$.

step 1 of 2: set up an equation to solve the given word problem. let $x$ be the smaller number.

answer
$x(40x) = -400$
$x(x + 40) = -400$
$x + x + 40 = -400$
$x(x - 40) = -400$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Integer Word Problems" ], "new_concepts": [ "Quadratic Word Problems" ], "current_concepts": [ "Integer Word Problems", "Quadratic Word Problems" ] } ## Define the two numbers Using the *Integer Word Problems* knowledge point $$ \begin{aligned} &\text{Smaller number} = x\ &\text{Larger number} = x + 40 \end{aligned} $$ ## Set up the product equation Using the *Integer Word Problems* knowledge point $$ \begin{aligned} &\text{Product} = \text{Smaller} \times \text{Larger} = -400\ &x(x + 40) = -400 \end{aligned} $$

(A) $x(40x) = -400$

(B) $x(x + 40) = -400$

(C) $x + x + 40 = -400$

(D) $x(x - 40) = -400$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Word Problems" ] }

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QUESTION IMAGE

Question

Explanation:

Define the two numbers

Set up the product equation

Answer: