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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

8. An Introduction to Equations

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Exercise 60 Page 57

Use mental math to guess the starting value for the table.

Between 5 and 6.

Practice makes perfect

Consider the given equation. 17=6+2x

This is not the easiest thing to calculate in our heads. Let's solve this equation using a table. In order to choose a good starting point for our table, let's pretend that the equation is 17=2x. What multiplied by 2 would get us close to 17? 8 or 9 would be equally valid, so we can start the table from there.

x	6+2x	=
9	6+2 (9)	24
8	6+2 (8)	22
7	6+2 (7)	20
6	6+2 (6)	18
5	6+2 (5)	16

Since our equation is 17=6+2x and 16<17<18, we know that the solution must lie between 5 and 6. 5

Subchapter links

Lesson Check p.56

Practice and Problem-Solving Exercises p.56-58

Standardized Test Prep p.58

Mixed Review p.58