SC Ready 8th Grade Math

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables. Each point represents an observation in the dataset.

Front

What does it mean for a scatter plot to show a linear association?

Back

A linear association in a scatter plot indicates that as one variable increases or decreases, the other variable tends to do the same in a straight-line pattern.

Front

What does it mean for a scatter plot to show a negative association?

Back

A negative association in a scatter plot means that as one variable increases, the other variable tends to decrease.

Front

How do you calculate the distance between two points on a graph?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²). Each unit on the graph represents a specific distance.

Front

If each unit on a graph represents 0.75 miles, how do you convert graph units to miles?

Back

Multiply the number of graph units by 0.75 to find the distance in miles.

Front

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.

Front

What is substitution in solving systems of equations?

Back

Substitution involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

How can you determine if a triangle is a right triangle using side lengths?

Back

Check if the sum of the squares of the two shorter sides equals the square of the longest side.

Front

What is a number line?

Back

A number line is a straight line with numbers placed at equal intervals along its length, used to represent real numbers.