math

Homework 2

1. Write an equivalent expression without parentheses for each of the following expressions.

a. 3(P + 4)

b. 6(z – 7) c. 12(y + 3)

2. In the class work, The Why of It, you saw three ways of thinking about why 2(X + 1) is equivalent to 2X + 2. Now use those ideas to explain your work in Question 1.

a. Use Caroline’s repeated addition method to explain why your answer to Question 1a is equivalent to 3(P + 4).

b. Use Nickie’s numerical example method to explain why your answer to Question 1b is equivalent to 6(z – 7).

c. Use Johan’s area model method to explain why your answer to Question 1c is equivalent to 12(y + 3).

3. Write an equivalent expression without parentheses for each of the following expressions. Use any method you like, but explain your work in both cases.

a. (b + 3)(b + 5) b. (2c + 3)(c + 6)

4. A function has a y-intercept of 3 and its slope is – ! ! . Make a table with at

least 3 lines for the function and draw its graph.