Semester Review

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

If y = 39 when x = 3, what is the constant of variation (k)?

Back

k = y/x = 39/3 = 13.

Front

Find the value of y when x = 2 in the direct variation y = 13x.

Back

y = 13 * 2 = 26.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

Write 42,000 in scientific notation.

Back

4.2 x 10^4.

Front

How do you convert a number to scientific notation?

Back

To convert a number to scientific notation, move the decimal point to create a number between 1 and 10, and count the number of places moved to determine the exponent of 10.

Front

Express 10,030,400,000 in scientific notation.

Back

1.00304 x 10^10.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

If a table of values shows a constant rate of change, what type of relationship does it represent?

Back

It represents a linear relationship.