1. 2-5 Solving Equations with the Variable on Each Side Algebra 1 Glencoe McGraw-HillLinda Stamper

2. Since variables represent numbers, you can add or subtract variable terms. Remember the basic rule for solving equations: Whatever you do to one side of the equal sign, you must also do to the other side of the equal sign. To solve equations that have variables on both sides of the equal sign, first collect the variable terms on one side of the equation. An equation is not solved if the variable is negative. Collecting the variable terms on the side with the greater variable coefficient will result in a positive variable.

3. Solve. Write the problem. Collect variable terms on one side. Undo addition and simplify. Undo multiplication and simplify. Check  On a test, do not check your answers until you have completed all the problems. Then formally check your equations. This is good test taking strategy so you do not spend too much time on one problem and fail to finish the test. What is the greater variable coefficient?

4. Solve. Write problem. Distribute and combine like terms. Collect variable terms on one side. Isolate the variable using inverse operations. Copy in your spiral notebook!

5. Please take a highlighter or red pencil and draw a line through the equal signs for the problem you just copied. Does it produce a straight line?

6. Solve. Leave the fraction improper. It must be in lowest terms. Example 1 Example 2 Example 3 Use good form – place the negative out front!

7. Example 4 Solve. Example 5 Solve. Example 6 Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers? I should write let statements for this word problem.

8. Example 4 Solve. Example 5

9. Example 6 Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers? Let f = first integer, Let f + 2 = second integer The integers are -8 and -6.

10. Example 7 One half of a number increased by one is six less than one fourth of the number. Find the number. Example 8 Sixteen more than three fourths of a number is one eighth of the number less than 2. Find the number. -2

11. Example 9 Solve. Round to the nearest tenth. You need to divide to what decimal position in order to round to tenths? Example 10 Solve. Round to the nearest tenth.

12. 2-A9 Pages 101 #11–30