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equations Worksheets

This equations section provides 7th grade students with practice expressing proportional relationships as equations and solving various algebraic problems. Students work through expressing equations, solving circle equations, algebraic expressions with division terms, and quadratic equations to strengthen their foundational algebra skills.

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Equations

About these worksheets

Students practice expressing proportional relationships as equations and solving circle equations in standard form. These worksheets develop the ability to identify constants of proportionality, use variables to model real-world relationships, and apply algebraic techniques to geometric formulas. Suitable for seventh and eighth grade math.

equations Worksheets - Expressing Equations worksheet

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Expressing Equations

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Turn a proportional relationship into an equation using a variable.
Identify the constant of proportionality (unit rate) and use it as the number that multiplies the variable.
Translate a word statement about “times as much” or “per” into an equation with an equals sign.
Match a situation to the correct equation form (like y = kx) and label what the variables represent.

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equations Worksheets - Solving Circle Equations worksheet

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Solving Circle Equations

Identify the center and radius from a circle equation written in standard form.
Rewrite a circle equation into standard form by completing the square.
Solve for missing values in a circle equation by substituting given points or coordinates.

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equations Worksheets - Solving Algebraic Expressions with Division Term worksheet

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Solving Algebraic Expressions with Division Term

Solve for a variable when it is being divided by a number.
Keep equations balanced by using multiplication or division to isolate the variable.

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equations Worksheets - Solving Quadratic Equations worksheet

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Solving Quadratic Equations

Solve quadratic equations to find the values that make the equation true.
Factor a quadratic expression and use the zero product rule to find the roots.
Use the quadratic formula to solve equations that don’t factor nicely.

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