Algebra 1A Exam Review

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What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

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How do you determine the highest score range from a set of data?

Back

To find the highest score range, count the number of students in each range and identify the range with the maximum count.

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What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

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How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing you to add or subtract the equations.

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What is substitution in solving systems of equations?

Back

Substitution is a method where you solve one equation for one variable and then substitute that expression into the other equation to find the values of the variables.

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What does it mean for a line to be greater than or equal to another line in a graph?

Back

It means that the area above the line (including the line itself) is part of the solution set for the inequality.

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What is the significance of the y-intercept in a linear equation?

Back

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

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How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the appropriate region based on the inequality.

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What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value). A relation can have multiple outputs for a single input.

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

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The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.