Algebra 1 STAAR Category 2

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What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression x + 5, x is a variable.

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Define an equation.

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables. For example, 2x + 3 = 7 is an equation.

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What does it mean to solve an equation?

Back

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?

Back

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 linear equation?

Back

A linear equation is an equation that forms 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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What is the slope of a line?

Back

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 the letter m.

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What is the y-intercept?

Back

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?

Back

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

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What is the difference between independent and dependent variables?

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The independent variable is the one that is changed or controlled in an experiment, while the dependent variable is the one that is measured or affected.

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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. Solutions to the system are the values that satisfy all equations simultaneously.