Semester Exam 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 on a graph.

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How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on the same coordinate grid and identify the point(s) where they intersect.

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What does it mean for a graph to be shifted vertically?

Back

A vertical shift occurs when a graph is moved up or down without changing its shape. For example, shifting a graph down by 8 units means subtracting 8 from the function.

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What is the rate of change in a linear relationship?

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of the line.

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How do you determine the x-intercept of a line?

Back

The x-intercept is found by setting y=0 in the equation of the line and solving for x.

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How do you determine the y-intercept of a line?

Back

The y-intercept is found by setting x=0 in the equation of the line and solving for y.

Front

What is an inequality?

Back

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

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How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, and reverse the inequality sign if multiplying or dividing by a negative number.

Front

What does it mean for a function to be linear?

Back

Front

What is the slope-intercept form of a linear equation?

Back