Ages 11–13🧮 MathematicsBeing planted

Algebraic Transformations

Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations

A first look

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Question 1 of 3

Which algebraic expression represents the phrase "seven less than three times a number m"?

Question 2 of 3

The polynomial P(x)= $2x^3-$ $ax^2+$ bx-6 has (x-3) as a factor, and P(2)=10. What is the value of a+b?

Question 3 of 3

The quadratic equation $2x^2$ – 3x – 2 = 0 has roots α and β. What is the value of α $^2 +$ β $^2$ ?

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.