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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 54 Page 57

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

2

Practice makes perfect

Consider the given equation.

4m+1=9 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 4m=9. What multiplied by 4 would get us close to 9? 2 or 3 would be equally valid, so let's try those. We should also try one digit less and one digit greater, just to be safe.

m	4m+1	=
1	4 (1)+1	5
2	4 (2)+1	9
3	4 (3)+1	13
4	4 (4)+1	17

We can see that m=2 is the solution to our equation.

Subchapter links

Lesson Check p.56

Practice and Problem-Solving Exercises p.56-58

Standardized Test Prep p.58

Mixed Review p.58