Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
Cumulative Practice

Exercise 6 Page 44

C

Let's consider the given expression! |a^2-2ac+5b| We want to evaluate our expression for a = 8, b= 3, and c = 6. We can do so by substituting these values into the expression and simplify. Remember that the absolute value acts as a grouping symbol, so we can perform the operations inside the absolute value bars first.
|a^2-2ac+5b|
| 8^2-2( 8)( 6)+5( 3)|
|64-2(8)(6)+5(3)|
|64-96+15|
|- 17|
Finally, we can calculate the absolute value of - 17. Remember that an absolute value is always non-negative. |- 17|=17 In this case, our expression has the value of 17. This result corresponds to answer C.