Solving Systems of Linear Equations

Which of the following statements accurately describes a system of linear equations classified as 'inconsistent'?

A system of two linear equations is graphed on a coordinate plane. One equation graphs as a solid line, and the other as a dashed line. What can you conclude?

When solving a system of linear equations by substitution, under what condition is the system considered to have infinitely many solutions?

Which of the following statements is correct when applying elimination to solve a system of linear equations, and the result is an equation $5 = 5$?

A region is shaded on a coordinate plane to represent the solution set of a linear inequality. What does the boundary line of this region indicate?

A system of linear inequalities is represented graphically. What describes the solution set of the system?

A system of equations is given as: $y = -2x + 5$ and $y = -2x - 3$. What is the best approach to determine the number of solutions?

When graphing a linear inequality, what determines whether you should shade above or below the line?

What does the 'mode' represent in a set of data?

In a dataset with an even number of values, how is the median determined?

What does the 'range' indicate about a set of data?

Which measure of central tendency is most affected by outliers (extreme values) in a dataset?

What information does the interquartile range (IQR) provide about a dataset?

A dataset has a high standard deviation. What does this indicate about the data values?

If the mean of a dataset is greater than the median, what can be inferred about the distribution?

What is the key characteristic of a 'dot plot' that makes it useful for visualizing data?

For what type of data is a bar graph most suitable?

What characteristic distinguishes a histogram from a bar graph?

Which data visualization method is best suited for identifying the five-number summary of a dataset?

In geometry, what does it mean for two angles to be 'complementary'?

What is the relationship between two angles that are 'supplementary'?

Two lines intersect, forming four angles. What is true of the angles opposite each other at the intersection (vertical angles)?

What is the name for the kind of angles that share a vertex and one side, with no overlap?

How is the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a coordinate plane calculated?

Which statement best describes a 'regular polyhedron'?

What is the focus of the surface area measurement of a thee-dimensional figure?

What does the 'volume' of a three-dimensional figure measure?

If angles ∠A and ∠B are complementary and $m∠A = 68°$, what is $m∠B$?

If angles ∠P and ∠Q are supplementary and $m∠P = 105°$, what is $m∠Q$?

Two lines intersect. One of the angles formed measures $40°$. What is the measure of the angle vertical to it?

Calculate the distance between the points (1, 2) and (4, 6).

A cube has sides of length 5cm. What is its surface area?

A cylinder has a radius of 3 and a height of 7. What is its volume?

Determine if the following statement is correct. A prism has 6 faces of which 2 are the shape of a triangle, therefore the base is a triangle.

Consider a cone that has a volume. You need to find the measure of the radius but do not have that measurement. However, you do have the slant height. Considering the Pythagorean theorem, which statement is correct?

What is the surface area of a sphere with radius 4?