3/3/25 TSI Flashcard

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base raised to the positive exponent. For example, a^-n = 1/a^n.

Front

What is the product of powers property in exponents?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does it mean for y to vary inversely with x?

Back

If y varies inversely with x, it means that as x increases, y decreases, and vice versa. The relationship can be expressed as y = k/x, where k is a constant.

Front

How do you find the value of a variable in a set of numbers given the mean?

Back

To find the value of a variable in a set of numbers given the mean, use the formula: Mean = (Sum of all values) / (Number of values). Rearrange to find the unknown value.

Front

What is the value of 9^-3?

Back

9^-3 = 1/9^3 = 1/729.

Front

What is the result of (x^3)(x^2)?

Back

The result is x^(3+2) = x^5.

Front

How do you write the equation of a line given two points?

Back

To write the equation of a line given two points, first find the slope (m) using (y2 - y1)/(x2 - x1), then use the point-slope form: y - y1 = m(x - x1).

Front

What is the inverse variation formula?

Back

The inverse variation formula is y = k/x, where k is a constant.