Transcript two
How do you write equivalent expressions with variables? For example, how can you write an equivalent expression for 3x2 + 4x + 3? In this lesson you will learn how to write equivalent expressions with variables by using a visual/area model. Let’s Review Let’s Review We know that algebraic expressions contain numbers, operations and at least one variable. Let’s Review Let’s Review The Distributive Property lets you multiply a sum by multiplying each addend separately and then add the products. 3(2 + 4) = (3 x 2) + (3 x 4) A Common Let’s Review Mistake Combining x2 and x terms. CoreReview Lesson Let’s What does an algebraic expression look like? Let: Stand for 1 Stand for x Stand for x2 CoreReview Lesson Let’s We can show that the blue square represents x2 because x x x2 CoreReview Lesson Let’s 3x2 + 4x + 3 How could you regroup these to make an equivalent expression? CoreReview Lesson Let’s x2 x2 x2 x x x x 1 1 1 3 x2 + 4x + 3 is equivalent to x2 + x2 + x2 + x + x + x + x + 1 + 1 + 1 CoreReview Lesson Let’s 2x2 Regroup x2 2x 2x 3 2x2 + x2 + 2x + 2x + 3 is another way to write an equivalent expression for 3x2 + 4x + 3. CoreReview Lesson Let’s Let’s find two equivalent expressions for 3(x + 1) The Distributive Property can help us. 3(x + 1) = (3 • x) + (3 • 1) = 3x + 3 That’s one! CoreReview Lesson Let’s Let’s use the first equivalent expression to write another. 3x + 3 A drawing can help us. We can regroup these. 2x+ x + 3 In this lesson you have learned how to write equivalent expressions with variables by using a visual/area model. Guided Practice Let’s Review Using a drawing, write an equivalent expression for 2x2 + 2x + 2 . Extension Let’s ReviewActivities Use drawings and the Distributive Property to help you determine which of these expressions pairs is equivalent: 4x2 + 12 and 4(x2 + 3) 2y +1 and 2(y + 1) Extension Let’s ReviewActivities Use a drawing and the Distributive Property to help you write an equivalent expression for a. 2(2x + 3) b. 3x2 + 3x + 3 … Extension Let’s ReviewActivities Write two equivalent expressions for x2 + 2x + 6. Quick Quiz Let’s Review Write an equivalent expression for 2x2 + x + 4 Quick Quiz Let’s Review Write an equivalent expression for 2(x + 1).