Mixed Practice A

Practice a balanced mix of quadratic relationship skills.

This set blends factoring, solving, table interpretation, graph features, and context reasoning.

How to use this set

Identify the clue first: second differences, factors, vertex form, or a real-world maximum or zero.

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Set Focus

Mixed quadratic review

A steady checkpoint before the deeper mixed set.

Factoring

Use products and sums to factor simple quadratics.

Features

Find vertex, axis of symmetry, intercepts, and opening direction.

Tables

Use values and second differences to reason.

Contexts

Interpret zeros and maximums in student-friendly situations.

Practice Questions

Mixed Review A

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

Question 1

Identify family

Which equation represents a quadratic function?

Question 2

Factoring

Factor x^2 - 8x + 15.

Question 3

Vertex from table

Use the table. What is the vertex?

Function values

x	-1	0	1	2	3
y	9	4	1	0	1

Question 4

Zeros

What are the solutions to x^2 - 4x = 0?

Question 5

Axis of symmetry

What is the axis of symmetry for y = (x + 6)^2 - 2?

Question 6

Y-intercept

For g(x) = -x^2 + 5x + 14, what is g(0)?

Question 7

Compare equations

Which equation has the greatest maximum value?

Question 8

Real-world zeros

A ball's height is h(t) = -t(t - 5). At what times is the height 0?

Question 9

Second differences

A table has first differences 6, 10, 14, 18. What are the second differences?

Question 10

Choose a form

Which form most directly shows the vertex of a quadratic?

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