Mixed Practice B

Strengthen connected quadratic reasoning across forms and contexts.

This set uses more layered decisions about which form to use, what a feature means, and how to solve efficiently.

How to use this set

When choices feel close, test one feature at a time: zeros, vertex, y-intercept, then opening direction.

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Set Focus

Deeper mixed quadratic review

These items build stamina with representation switching.

Representation switching

Move between standard, factored, and vertex form.

Solving

Use factoring and square structure.

Feature comparison

Compare maximums, minimums, and axes of symmetry.

Modeling

Choose features that answer a context question.

Practice Questions

Mixed Review B

Check your answer first, then reveal the explanation when you want the model.

Question 1

Equation from zeros

A quadratic has zeros at x = -3 and x = 4 and opens upward. Which equation could represent it?

Question 2

Vertex interpretation

The function C(x) = 0.5(x - 10)^2 + 25 models cost. What is the minimum cost?

Question 3

Factoring

Which expression is equivalent to x^2 - 25?

Question 4

Table to model

Which model best fits y-values 1, 4, 9, 16, 25 for x = 1, 2, 3, 4, 5?

Question 5

Axis from standard form

What is the axis of symmetry for y = x^2 - 10x + 16?

Question 6

Evaluate function

If f(x) = x^2 + 4x + 3, what is f(-2)?

Question 7

Solve by factoring

Solve x^2 + 9x + 20 = 0.

Question 8

Maximum or minimum

Which equation has a maximum value of 11?

Question 9

Intercepts

The graph of a quadratic crosses the x-axis at (-1, 0) and (7, 0). What is the axis of symmetry?

Question 10

Real-world model

The area of a rectangle is modeled by A(x) = x(20 - x). Which equivalent form helps find when the area is 0?

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