Fall Benchmark Review

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

Which of the following is correct scientific notation? 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4

Back

2.035 x 10^4

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the coordinates of two points are (6, 2) and (-6, -10), what is the slope?

Back

Using the slope formula: m = (-10 - 2) / (-6 - 6) = -12 / -12 = 1.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is 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.

Front

What does it mean for a scatterplot to show a negative correlation?

Back

As one variable increases, the other variable tends to decrease.

Front

If a car's value decreases as its age increases, what type of relationship is this?

Back

This is a negative correlation.

Front

What is the area of a square?

Back

The area (A) of a square is calculated as A = side^2.

Front

If a square room has an area of 128 square feet, what is the approximate length of one side?

Back

The side length is approximately 11.31 feet, since side = √128.