Solving equations & Formulas

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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What does it mean to solve an equation?

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To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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What is a variable in mathematics?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation or expression.

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What is the principle of balancing equations?

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The principle of balancing equations states that both sides of an equation must remain equal when performing operations on one side.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

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What does it mean if an equation has infinite solutions?

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An equation has infinite solutions if any value of the variable satisfies the equation, indicating that the two sides are equivalent for all values.

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How do you find the area of a rectangle?

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The area of a rectangle is found by multiplying its length by its width (Area = length × width).

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What is a composite shape?

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A composite shape is a shape that is made up of two or more simple shapes, such as rectangles, triangles, or circles.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

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What is the solution to the equation 4 + 7a + 6 - 2a = 45?

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a = 7