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Factoring Sprints

A high-intensity, time-efficient review and assessment unit designed for 30-minute class periods, focusing on core factoring techniques for Algebra 2 credit recovery.

MQMelanie Quick

Factoring Sprint Worksheetv2

Factoring Sprint

Algebra 2 • Mastery Review

NAME

Part 1 of 2

1. GCF & Grouping

\( 8x^2 + 16x \)
\( 12y^4 - 4y^2 \)
\( 3x(x-2) + 5(x-2) \)
\( 15m^2n - 25mn^2 \)

2. Quadratics (a = 1)

\( x^2 + 8x + 12 \)
\( x^2 - 7x + 10 \)
\( x^2 + 2x - 15 \)
\( x^2 - 3x - 18 \)

3. Quadratics (a > 1)

\( 2x^2 + 7x + 3 \)
\( 3x^2 - 10x + 8 \)

Factoring Sprint (Cont.)

NAME

\( 5x^2 + 11x + 2 \)
\( 2x^2 - x - 3 \)

4. Special Products

\( x^2 - 49 \)
\( 16y^2 - 81 \)
\( x^2 + 10x + 25 \)
\( 4x^2 - 12x + 9 \)

5. Cubes

\( x^3 + 8 \)
\( x^3 - 27 \)
\( 8x^3 + 1 \)
\( 27x^3 - 125 \)

Factoring Power Testv2

Factoring Power Test

Mastery Assessment • 30 Minute Limit

NAME

SCORE: ____ / 100

\( 15x^4 - 5x^2 \)

Ans: ________________

\( x^2 - 8x - 20 \)

Ans: ________________

\( 64x^2 - 9 \)

Ans: ________________

\( x^2 + 16x + 64 \)

Ans: ________________

\( 2x^2 + 11x + 12 \)

Ans: ________________

\( 3x^2 - 7x - 6 \)

Ans: ________________

\( x^3 + 125 \)

Ans: ________________

\( 27x^3 - 8 \)

Ans: ________________

Show all work for full credit. Final answers must be completely factored.

Sprint Answer Keyv2

Answer Key: Sprint Drill

Comprehensive 20-Problem Set

TEACHER USE ONLY

\( 8x(x + 2) \)
\( 4y^2(3y^2 - 1) \)
\( (x - 2)(3x + 5) \)
\( 5mn(3m - 5n) \)
\( (x + 6)(x + 2) \)
\( (x - 2)(x - 5) \)
\( (x + 5)(x - 3) \)
\( (x - 6)(x + 3) \)
\( (2x + 1)(x + 3) \)
\( (3x - 4)(x - 2) \)
\( (5x + 1)(x + 2) \)
\( (2x - 3)(x + 1) \)
\( (x - 7)(x + 7) \)
\( (4y - 9)(4y + 9) \)
\( (x + 5)^2 \)
\( (2x - 3)^2 \)
\( (x + 2)(x^2 - 2x + 4) \)
\( (x - 3)(x^2 + 3x + 9) \)
\( (2x + 1)(4x^2 - 2x + 1) \)
\( (3x - 5)(9x^2 + 15x + 25) \)

Power Answer Keyv2

Answer Key: Power Test

8-Question Mastery Assessment

TEACHER USE ONLY

\( 5x^2(3x^2 - 1) \)
\( (x - 10)(x + 2) \)
\( (8x - 3)(8x + 3) \)
\( (x + 8)^2 \)
\( (2x + 3)(x + 4) \)
\( (3x + 2)(x - 3) \)
\( (x + 5)(x^2 - 5x + 25) \)
\( (3x - 2)(9x^2 + 6x + 4) \)

Grading Rubric (100 Points)

Problems 1-4: 10 pts ea.

Correct Factors: 5 pts
Method/Work: 5 pts

Problems 5-8: 15 pts ea.

Correct Factors: 7 pts
Detailed Steps: 8 pts

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