Algebra 1 Review 1

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the maximum height of a projectile represented by a quadratic equation?

Back

To find the maximum height of a projectile, use the formula t = -b/(2a) to find the time at which the maximum height occurs, then substitute this value back into the height equation.

Front

What does the vertex of a parabola represent in a quadratic function?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function, depending on the direction of the parabola.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is A = P(1 + r)^t, where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.

Front

How do you calculate the median from a box and whisker plot?

Back

The median is the line inside the box of the box and whisker plot, which divides the data into two equal halves.

Front

What does a box and whisker plot show about a data set?

Back

A box and whisker plot shows the distribution of a data set, including the median, quartiles, and potential outliers.

Front

What is the significance of the 'spread' in a box and whisker plot?

Back

The 'spread' indicates the variability of the data; a larger spread means more variability, while a smaller spread indicates less variability.

Front

How do you determine the starting height of a projectile from its height equation?

Back

The starting height of a projectile can be found by evaluating the height equation at t = 0.

Front

What is the effect of a negative coefficient in front of the t² term in a quadratic equation?

Back

A negative coefficient in front of the t² term indicates that the parabola opens downward, meaning the function has a maximum point.

Front

What is the formula for calculating percentage increase?

Back

The formula for calculating percentage increase is ((new value - old value) / old value) * 100.