SME
Grade 7 Math · Problem type
Proportional or not?
Use this for “Does the table show a proportional relationship?” or “Is y = 2x + 1 proportional?”
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Is the relationship proportional?
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Assumptions
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In a proportional relationship, y ÷ x is the same number for every pair: the constant k.
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Its graph is a straight line through (0, 0), and its equation is y = kx.
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An added or taken-away number, like the + 1 in y = 2x + 1, breaks it.
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Related lessons
Proportional relationships and the constant of proportionality
Main lesson
Solve a proportion
Use this for “If 3/20 = n/300, what is n?” and “450 g of oats makes 12 bars; how much for 20 bars?”
Rates with fractions
Use this for “1/2 cup of sugar for every 3/4 cup of flour: how much sugar for 1 cup of flour?”