Algebra 2 midterm review (Fall)

Front

What is the solution to the inequality -2x + 3(-4x + 6) ≤ 116?

Back

x ≥ -7

Front

Does the quadratic equation y = x² + 2x - 3 have a maximum or minimum value? How can you tell?

Back

Minimum value, because the 'a' value is positive.

Front

Write the equation of the line with slope 5/2 through the point (8, -2) in slope-intercept form.

Back

y = 5/2x - 22

Front

When do you flip an inequality symbol?

Back

You flip it when you multiply or divide by a negative number.

Front

Solve using substitution: y = -6x + 5 and -2x + y = 5. What is the solution?

Back

(0, 5)

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What does the 'a' value in a quadratic equation determine?

Back

It determines whether the parabola opens upwards (minimum) or downwards (maximum).

Front

How do you find the vertex of a parabola given by the equation y = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.