Algebra I EOC Review

Front

What is the solution to the equation 5x^2 = 30x - 45?

Back

x = 3

Front

Evaluate the expression (8)^{-\frac{2}{3}} + (32)^{\frac{3}{5}} - 3^3 - (\frac{1}{2})^2.

Back

-19

Front

What is the domain and range of the function f(x) = 2x + 4 restricted to -2 ≤ x ≤ 2?

Back

Domain is continuous; Range: 0 ≤ f(x) ≤ 8

Front

What does an open dot on a graphed function indicate?

Back

The value is not included.

Front

What are the domain and range of the function for renting a swimming pool at $110 per hour for either 1 or 2 hours?

Back

Domain: {1, 2}; Range: {110, 220}

Front

Define a quadratic equation.

Back

An equation of the form ax^2 + bx + c = 0, where a ≠ 0.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}

Front

What is a rational exponent?

Back

An exponent that can be expressed as a fraction, such as a^{\frac{m}{n}}.

Front

What is the difference between continuous and discrete functions?

Back

Continuous functions have values for every point in an interval; discrete functions have specific, separate values.

Front

What does it mean for a function to be one-to-one?

Back

Each output value is associated with exactly one input value.