Algebra 2 Fall Semester Review

Front

Use the FOIL method to multiply: (x-7)²

Back

x² - 14x + 49

Front

What is the equation that models the height of a lizard jumping across water?

Back

h = -12t² + 6t

Front

How do you find the time when the lizard is back on the water using the equation h = -12t² + 6t?

Back

Set h = 0 and solve for t: 0 = -12t² + 6t, t = 0.5 seconds.

Front

What is the axis of symmetry for the function y = ax² + bx + c?

Back

x = -b/(2a)

Front

Solve: −3| 2t−3 | + 5 > −16

Back

(−2, 5)

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 ft?

Back

144 ft

Front

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

Back

The maximum or minimum point of the parabola.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

How do you determine the roots of a quadratic equation?

Back

Use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the discriminant in a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).