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Solving Proportions Algebraically WORKSHEET
Suitable for Grades: 8th Grade, Algebra I
CCSS: 8.EE.C.7, HSA.REI.B.3
CCSS Description: Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solving Proportions Algebraically WORKSHEET DESCRIPTION
This worksheet gives a scaffolded approach to forming and solving equations from ratios. Section A provides algebraic ratios and an equivalent numerical ratio, and requires learners to form and solve the equations. Section B then introduces problems where a ratio between two amounts changes when those amounts increase or decrease. Section C then provides some problems that will require knowledge of simultaneous equations, quadratics, rearranging formulae, and angles.
