Algebra 2 End of Semester 1 Exam

Front

What is the equation for the cost of ordering shirts from Company A?

Back

y = 9.65x + 43, where y is the total cost and x is the number of shirts.

Front

What is the equation for the cost of ordering shirts from Company B?

Back

y = 8.40x + 58, where y is the total cost and x is the number of shirts.

Front

How do you find the axis of symmetry for a parabola given in standard form?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax^2 + bx + c.

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by evaluating the function at x = 0.

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is a local maximum in the context of a parabola?

Back

A local maximum is a point where the function value is higher than all nearby points.

Front

What is an absolute maximum?

Back

An absolute maximum is the highest point over the entire domain of the function.

Front

How do you determine the y-intercept of the function y = x^2 - 6x + 5?

Back

Set x = 0: y = (0)^2 - 6(0) + 5 = 5, so the y-intercept is (0, 5).

Front

What is the significance of the setup fee in a cost equation?

Back

The setup fee is a fixed cost that must be paid regardless of the number of items ordered.

Front

How do you solve for the number of shirts when both companies charge the same amount?

Back

Set the two cost equations equal to each other: 9.65x + 43 = 8.40x + 58 and solve for x.