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Multiplying Binomials Using Area Model: Practice Problems and Solutions

This resource focuses on multiplying binomials using the area model, a visual method that simplifies understanding the distribution of terms. Begin by drawing a rectangle to represent the binomials, calculating the area by splitting it into smaller sections. Explore examples such as (2x + 6)(3x + 1) yielding 6x² + 20x + 6, and practice with various pairs of binomials. Engage with exercises to reinforce your skills and improve your confidence in multiplying binomials. Complete various problems within a 5-minute time frame for effective learning!

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Multiplying Binomials Using Area Model: Practice Problems and Solutions

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  1. Objective: To multiply binomials using Area Model

  2. Draw a rectangle. What is the area of the rectangle? Split it into four. Fill in the following. 3 5 4 12 20 6 10 2 12 + 20 + 6 + 10 = 48 square units

  3. What is the area of this rectangle? (2x + 6)(3x + 1) = 6x2 + 20x + 6 2x 6 3x 6x2 18x 2x 6 1 6x2 + 18x + 2x + 6 = 6x2 + 20x + 6

  4. What is the area of this rectangle? (4x - 3)(5x + 2) = 20x2 - 7x - 6 4x -3 5x 20x2 -15x 8x -6 2 20x2 - 15x + 8x - 6 = 20x2 - 7x - 6

  5. You have 5 minutes to copy this slide! • Practice! Multiply the following. • (5x + 1)(2x + 4) = • (x + 7)(x – 3) = • (4x – 2)(x + 1) = • (3x + 2)(x + 2) = • (x + 5)(x + 5) = • (x – 5)(x – 5) = • (x + 5)(x - 5) = • (x + 1)(2x + 9) = • (x + 5)(x – 8) = • (3x + 2)(x + 7) = • (-5x + 2)(x + 3) = • (x + 2)(x + 2) = • (x – 2)(x – 2) = • (x + 2)(x - 2) =

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