# Chapter 1 - Foundations for Algebra - 1-7 The Distributive Property - Got It? - Page 47: 2

a. $\frac{4}{3}x -\frac{16}{3}$ b. $\frac{11}{6} + \frac{1}{2}x$ c. $\frac{5}{4} + \frac{1}{2}x$ d.$\frac{1}{2} - \frac{1}{4}x$

#### Work Step by Step

For each expression, you must write each division as multiplication, apply the distributive property, and simplify. Let's solve part a. You must write the division as multiplication $\frac{1}{3} (4x - 16)$ Now, apply the distributive property. $\frac{1}{3} \times 4x - \frac{1}{3}\times16$ Now, simplify to get the answer to a. $\boxed{\frac{4}{3}x - \frac{16}{3} }$ do the same thing for parts b,c, and d. For b, you should get $\boxed{\frac{11}{6}+ \frac{1}{2}x}$ For c, you should get $\boxed{\frac{5}{4} + \frac{1}{2}x}$ For d, you should get $\boxed{\frac{1}{2} - \frac{1}{4}x}$

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