Algebra 1B Semester 1 Review (Condensed)

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What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value in mathematical expressions and equations.

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What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations according to the order of operations.

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

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What does it mean for a slope to be zero?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change, as opposed to a variable which can take on different values.