Algebra MidTerm

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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Define a variable in algebra.

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A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is the variable.

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What is the difference between an equation and an expression?

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An equation is a statement that two expressions are equal, indicated by the '=' sign. An expression does not have an '=' sign.

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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 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 parenthesis.

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How do you combine like terms?

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To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

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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. It can be written in the form y = mx + b.

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by 'm'.

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What is the y-intercept?

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The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

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What is a function in algebra?

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A function is a relation that assigns exactly one output for each input. It can be represented as f(x).