Herbert Semester 1 Test Review

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What is the distributive property?

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

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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What is the substitution method in solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

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What does it mean to combine like terms?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

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What is the standard form of a linear equation?

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The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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How do you graph a linear equation?

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To graph a linear equation, you can find two or more points that satisfy the equation and then draw a line through those points.

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What is a variable in algebra?

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A variable is a symbol, often represented by letters, that stands for an unknown value in mathematical expressions or equations.

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What is a constant in algebra?

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A constant is a fixed value that does not change, often represented by numbers in equations.

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What is the purpose of solving equations?

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The purpose of solving equations is to find the value(s) of the variable(s) that make the equation true.