2022 Algebra Semester Review

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What is a system of equations?

Back

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 does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

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How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

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What is the y-intercept of a linear equation?

Back

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

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How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse 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 change in y divided by the change in x (rise/run).

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What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

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What is the meaning of the coefficients in a linear equation?

Back

Coefficients are the numerical factors that multiply the variables in an equation, indicating their contribution to the equation's value.

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What is a variable in algebra?

Back

A variable is a symbol (often x or y) that represents an unknown value in mathematical expressions and equations.

Front

What is the purpose of graphing a function?

Back

Graphing a function visually represents the relationship between variables, making it easier to analyze and interpret.