Grade: Grade 9 Subject: Mathematics Unit: Introduction to Quadratics SAT: AdvancedMath ACT: Math

Quadratic Formula

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This lesson covers key concepts for Quadratic Formula. Content will include explanations, definitions, and foundational knowledge.

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0/3 correct

Question 1

What are the solutions to x² - 9 = 0?

A x = 3 only

B x = -3 only

C x = 3 and x = -3

D x = 9

Explanation: Factor: (x+3)(x-3) = 0. Set each factor to 0: x = -3 or x = 3.

Question 2

What is the vertex of y = (x - 2)² + 3?

A (2, 3)

B (-2, 3)

C (2, -3)

D (-2, -3)

Explanation: In vertex form y = (x-h)² + k, the vertex is (h, k). Here h = 2, k = 3.

Question 3

Which equation has x = 1 and x = 5 as solutions?

A (x-1)(x-5) = 0

B (x+1)(x+5) = 0

C (x-1)(x+5) = 0

D (x+1)(x-5) = 0

Explanation: If x = 1 and x = 5 are solutions, then (x-1) and (x-5) are factors.

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Self-assessment questions will appear here.