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Proportion•
Solving Equations

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.

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.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Solving Proportions Algebraically Worksheet suitable for students in 8th Grade

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Frequently Asked Questions

Students should be comfortable with basic algebraic manipulation and solving simple equations before tackling this proportion worksheet. Since this covers 8th Grade and Algebra I concepts, they'll also benefit from understanding how to work with variables and ratios. The more advanced sections require knowledge of simultaneous equations, quadratics, and formula rearrangement, so students might want to master the earlier sections first.