Forming Equations from Ratios (A) WORKSHEET
Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).
Forming Equations from Ratios (A) WORKSHEET DESCRIPTION
This worksheet will guide your learners through forming equations from simple ratios across three sections.
Section A involves filling in missing values to complete equivalent ratios, completing sentences linking two variables, and then writing equations based on these ratios. For example: in the ratio 1 : 5, if the ratio is in the form x : y, then we could say that y is 5 times larger than x, and therefore y = 5x and x = ⅕ y.
Section B challenges students to match given ratios to their corresponding linear equations.
Lastly, Section C requires students to express 9 further ratios as linear equations on their own.
Students studying higher tiers can now try Forming Equations from Ratios (B).
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Frequently Asked Questions
This forming equations from ratios (a) worksheet is designed for students in 7th Grade and Algebra I and aligns with Common Core State Standards.