12(3 + 4c) 12( ) + 12( ) 5y(2x - 10) 5y( ) - 5y( ) Combine Like Terms to find an equivalent expression: 11 + 2x + 15xy + 5x + 10xy Group like terms: 8a + 4b + 3c - 2a + 5b - 3b + c Group like terms: Use distributive property and combine like terms to simplify the expression: 15g + 17(8g - 3) + 8g Distribute: 15g + 17( ) - 17( ) + 8g Combine Like Terms: 8(4g + 2) -10g + 5 Distribute: 8( ) + 8( ) -10g + 5 Combine Like Terms:

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

The wheels of a bicycle have a diameter of 70cm. how many meters will the bicycle travel if each wheel makes 50 revolutions