def findIntegralXIntercept_SIF_NonZeroM(self, numChoices, points):
m = 0
while (m == 0):
m = random.randint(-20, 20)
multiplier = 0
while (multiplier == 0):
multiplier = random.randint(-10, 10)
b = m * multiplier
x_intercept = -1 * b // m
d = {}
problemStatement = StringFormatter().format("Question Statement.")
d["problemStatement"] = problemStatement.format(m, b)
d["correctAnswer"] = x_intercept
d["correctAnswerIdx"] = utility.getCorrectAnswerIndex(numChoices)
d["wrongAnswers"] = utility.generateWrongAnswers(
numChoices, x_intercept, "ints")
d["points"] = points
d["solution"] = [
("y = {}x + {}".format(m, b),
StringFormatter().format("Find the x intercept.")),
("0 = {}x + {}".format(m, b),
StringFormatter().format("Set y to zero.")),
("0 - {} = {}x + {} - {}".format(b, m, b, b),
StringFormatter().format("Subtract b from both sides.")),
("{} = {}x".format(-b, m), StringFormatter().format("Simplify.")),
("{} / {} = x".format(-b, m),
StringFormatter().format("Divide both sides by m.")),
("{}".format(-b // m), StringFormatter().format("Simplify."))
]
return d
def findIntegralXIntercept_SIF_NonZeroFracM(self, numChoices, points):
m_numerator = 0
while (m_numerator == 0):
m_numerator = random.randint(-30, 30)
m_denominator = 0
while ((m_denominator == 0) or (m_denominator == m_numerator)):
m_denominator = random.randint(-30, 30)
multiplier = 0
while (multiplier == 0):
multiplier = random.randint(-10, 10)
b = m_numerator * multiplier
x_intercept = -1 * m_denominator * b // m_numerator
d = {}
d["problemStatement"] = StringFormatter().format(
"Question Statement 2.").format(m_numerator, m_denominator, b)
d["correctAnswer"] = x_intercept
d["correctAnswerIdx"] = utility.getCorrectAnswerIndex(numChoices)
d["wrongAnswers"] = utility.generateWrongAnswers(
numChoices, x_intercept, "ints")
d["points"] = points
d["solution"] = [
("y = \\frac{{{}}}{{{}}}x + {}".format(m_numerator,
m_denominator, b),
StringFormatter().format("Find the x intercept.")),
("0 = \\frac{{{}}}{{{}}}x + {}".format(m_numerator,
m_denominator, b),
StringFormatter().format("Set y to zero.")),
("0 - {} = \\frac{{{}}}{{{}}}x + {} - {}".format(
b, m_numerator, m_denominator, b,
b), StringFormatter().format("Subtract b from both sides.")),
("{} = \\frac{{{}}}{{{}}}x ".format(-b, m_numerator,
m_denominator),
StringFormatter().format("Simplify.")),
("{} \\times \\frac{{{}}}{{{}}} = x".format(
-b, m_denominator, m_numerator),
StringFormatter().format("Divide both sides by m.")),
("{}".format(-1 * m_denominator * b // m_numerator),
StringFormatter().format("Simplify."))
]
return d
