PSAT Practice

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

If a parabola opens upwards, what can you say about the value of 'a'?

Back

If a parabola opens upwards, the value of 'a' is positive.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex of a parabola in standard form y = ax² + bx + c can be found using the formula x = -b/(2a).

Front

What is the relationship between the roots of a quadratic equation and its graph?

Back

The roots of a quadratic equation are the x-intercepts of its graph, where the parabola intersects the x-axis.

Front

How do you convert gallons to ounces?

Back

To convert gallons to ounces, multiply the number of gallons by 128 (since 1 gallon = 128 ounces).

Front

What is the formula to calculate the percentage decrease?

Back

Percentage decrease = ((original value - new value) / original value) × 100.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

How can you determine if a set of ordered pairs satisfies a system of equations?

Back

To determine if a set of ordered pairs satisfies a system of equations, substitute the x and y values into each equation and check if both equations are true.

Front

What does it mean for a quantity to decline by a certain percentage?

Back

A quantity declines by a certain percentage when its new value is less than its original value by that percentage.

Front

What is the significance of the coefficients in a quadratic equation?

Back

The coefficients 'a', 'b', and 'c' in a quadratic equation determine the shape, position, and direction of the parabola.