Kyote Practice #17

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is given by the formula P = 2(length + width).

Front

If the length of a rectangle is twice its width, how can you express the length in terms of width?

Back

Length = 2 * Width.

Front

What is the mean (average) of a set of numbers?

Back

The mean is calculated by adding all the numbers together and dividing by the count of the numbers.

Front

If a student has a mean score of 80 on three tests, what is the total score for those tests?

Back

Total score = Mean score * Number of tests = 80 * 3 = 240.

Front

What is a factor in mathematics?

Back

A factor is a number or expression that divides another number or expression evenly.

Front

How do you factor a quadratic expression like 2x² + x - 15?

Back

To factor, find two numbers that multiply to (a*c) and add to (b). Here, (2*-15) = -30 and (1) = 1.

Front

What is the square of a negative number?

Back

The square of a negative number is always positive. For example, (-a)² = a².

Front

What is the result of simplifying (-13)²?

Back

(-13)² = 169.

Front

What is the product of powers rule in exponents?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify the expression (-2x⁶)(4x)². What is the result?

Back

(-2x⁶)(4x)² = -32x⁸.