Math 2 Final Exam Review: Unit 5

Front

What does it mean for a quantity to vary directly with another quantity?

Back

A quantity varies directly with another if it increases or decreases in proportion to that quantity. For example, if N varies directly with A, then as A increases, N also increases.

Front

What does it mean for a quantity to vary inversely with another quantity?

Back

A quantity varies inversely with another if it increases when the other quantity decreases, and vice versa. For example, if y varies inversely with x, then as x increases, y decreases.

Front

If N varies directly with A and inversely with P, how can we express this relationship mathematically?

Back

The relationship can be expressed as N = k * (A / P), where k is a constant.

Front

How do you solve for a variable in a direct variation equation?

Back

To solve for a variable in a direct variation equation, isolate the variable on one side of the equation using algebraic operations.

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Back

The solution is x = 0.5.

Front

What is the square root of a negative number?

Back

Front

What is the principle of squaring both sides of an equation?

Back

Squaring both sides of an equation can help eliminate square roots, but it may introduce extraneous solutions that need to be checked.

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Back

The solution is 'No solution' because the left side cannot equal the right side for any real x.

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Back

Front

What is the process for simplifying square roots of products?

Back

To simplify square roots of products, factor the expression into perfect squares and apply the square root to each factor.