Slide 3 and 4- Writing Expressions Slide 5 and 6 – Modeling expressions Slide 8 and 9– Combine Like Terms Slide 10 and 11– Combine like terms Word probs Slide 13 – Distributing Slide 15 and 16 - Factoring

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Four students, Aaron, Brianna, Chip and Dinah, wrote a numerical expressions for each story problem. Look at each student’s expression and determine whether or not is appropriate for the given story problem. Explain why the expression “works” or “doesn’t work”. 2(5) + 3(7) 1. I bought two toy cars for $5 each and three toy trucks for $7 each. How much I spend? 2(3) + 5(7) (2 + 3)(5 + 7) (2 + 3) + (5 + 7) 3 + x + 15 2. Ryan bought 3 CDs for x dollars each and a DVD for $15. How much money did he spend? 15x + 3 15 + x + x + x 3x + 15

3. Jim won 30 tickets. Evan won y tickets less than Jim did 3. Jim won 30 tickets. Evan won y tickets less than Jim did. How many tickets did Evan win? 30 - y y - 30 y + 30 30 + y

Simplify the following expressions. If needed, sketch a model. 4 Simplify the following expressions. If needed, sketch a model. 4. 2x + 4 – x

Distributing Write each expression in an equivalent form. Draw a model (number line or box) for each problem.

1. 3(x + 2) 2. 4(2x – 3) 3. x(x – 1) 4. 2x(x + 3) 5. 3x – 9 6. 4x – 10 For each of the previous problems. Build the factors, build an area model. Draw and label a block. What are the factors of the multiplication problem? What is the area? What is the product of the multiplication problem? 5. 3x – 9 6. 4x – 10 7. 4x2 + 3x For these problems, work backwards to find the dimensions of the rectangle (like the example).

Below are contexts. Write two equivalent expressions for each situation. It may be helpful to draw a model.