Complete this quiz after finishing Modules 2.7–2.10 (Advanced Math). You should be able to answer every question without referring back to the modules. If you get stuck, reread that section.

Full Name*

Please enter your full name.

Email Address*

Please use your Wagner Prep email address.

Please use your Wagner Prep email address (must end in @wagnerprep.com).

Date*

Format: MM/DD/YYYY

Please enter the date as MM/DD/YYYY.

This quiz is only for Wagner Prep tutors.
Please enter your Wagner Prep email address (ending in @wagnerprep.com) to continue. If you don't have one yet, contact your hiring manager.

Taking the quiz as ·

Part A

Multiple Choice

This section tests your understanding of quadratics, polynomials & functions, exponential growth and decay, and equivalent expressions.

1The three forms of a quadratic are standard, vertex, and factored. Which form directly gives you the x-intercepts (roots)?*

A) Standard form: ax² + bx + c B) Vertex form: a(x − h)² + k C) Factored form: a(x − r)(x − s) D) All three forms give intercepts equally

Please select an answer.

2A student sees x⁴ − 5x² + 4 = 0. What substitution makes this solvable as a standard quadratic?*

A) Let u = x², rewrite as u² − 5u + 4 = 0 B) Let u = x³, rewrite as xu − 5x² + 4 = 0 C) Divide everything by x² D) Factor out x² first

Please select an answer.

3Exponential growth is modeled as y = ab^x. What does b represent?*

A) The initial value B) The growth or decay multiplier per period C) The number of time periods D) The rate of change per period

Please select an answer.

4To test whether two expressions are equivalent on the SAT, what is the fastest method?*

A) Expand and simplify both algebraically B) Substitute a specific number and compare the outputs C) Factor both and compare factors D) Use Desmos to graph both

Please select an answer.

5A student is asked to find g(−2) for a composite function where h(x) = x + 3 and g(x) = h(2x). What is g(−2)?*

A) −1 B) 1 C) −5 D) −3

Please select an answer.

Taking the quiz as ·

Part B

Short Answer

Respond in your own words.

6How do you explain the difference between exponential and linear growth to a student who keeps confusing them? Use a concrete example.*

Please answer this question.

7A student can factor quadratics but falls apart when the SAT presents the equation in ax² + bx + c form with large coefficients. What strategy do you teach and in what order?*

Please answer this question.

8Describe a "quadratic in disguise" problem type. Give an example and explain how to set it up.*

Please answer this question.

Taking the quiz as ·

Part C

Teaching Scenario

This puts you in a tutoring session. Respond in your own words.

9A student is scoring well on straightforward quadratic problems but keeps missing vertex-form transformation problems (e.g., "g(x) = f(x+2) − 3, what is the vertex of g?"). What is the likely root cause, and how do you address it?*

Please answer this question.

Taking the quiz as ·

What Comes Next

Teach-Back and Check-In

Nice work finishing Advanced Math (Modules 2.7–2.10). You've covered quadratics, polynomials & functions, exponential growth and decay, and equivalent expressions, the core toolkit you'll lean on in most Advanced Math lessons. Before moving into the next module, you'll walk a trainer through a couple of these concepts the way you'd walk a student through it. Pick who you're meeting with below, and they'll reach out to find a time.

Pick the trainer that you'll meet for the teach-back lesson*

Please pick a trainer.

Any comments or questions before the meeting?

Advanced Math Tutor Assessment

Multiple Choice

Short Answer

Teaching Scenario

Teach-Back and Check-In

You're all set