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Presentation transcript:

Teacher’s please delete personal pictures in slides 6, 7, and 8.

How do you know when to give a decimal answer? The instructions will tell you what decimal position you will need to round. Otherwise, if dividing does NOT produce a positive or negative whole number (known as an integer), then leave the answer fractional, but in lowest terms.

2-5 Solving Equations with the Variable on Each Side Algebra 1 Glencoe McGraw-HillLinda Stamper 2-A10 Pages 101–103 #31–34,37–42,49 and PRACTICE Wkbk. Page 14 #14–24. (Complete PRACTICE Workbook problems on binder paper.)

1. Simplify each side by distributing and/or combining like terms. 2. Collect variable terms on the side where the coefficient is greater. STEPS FOR SOLVING LINEAR EQUATIONS 3. Isolate the variable using inverse operations. 4. Check your solution in the original equation.

––+–+– +–+– Solve. Write problem. Distribute and combine like terms. Collect variable terms on one side. Isolate the variable using inverse operations. Change subtraction to addition. Copy in your spiral notebook!

Please take a highlighter or red pencil and draw a line through the equal signs of the problem you just copied. Do you have a straight line?

Solve. Example 1Example 2

The equation 2x = 2x is called an identity. Linear equations (equations that have a variable to the first power) can have one solution, no solution, or it is an identity and all real numbers are solutions. One side is identical to the other side.

no solution all real numbers Identity This type of equation is called an Identity! The variable can represent all real numbers. Solve the equation, if possible. Determine if the equation has no solution, all real numbers are solutions, or one solution (if the equation has one solution, give the solution). True statement means all real numbers are solutions. False statement means no solution.

Example 3 all real numbers Solve the equation, if possible. Determine if the equation has no solution, all real numbers are solutions, or one solution (if the equation has one solution, give the solution). Example 4 no solution Example 5

Example 6 all real numbers Solve the equation, if possible. Determine if the equation has no solution, all real numbers are solutions, or one solution (if the equation has one solution, give the solution). Example 7 no solution Example 8

Write the perimeter formula for each geometric figure. Substitute. If perimeter is equal to perimeter then... x + 9 2x Example 9 Find the value of x so that the figures have the same perimeter. P = 2 l + 2w x + 4 2x + 5 P = a + b + c 5x + 1

2-A10 Pages 101–103 #31–34,37–42,49 and PRACTICE Wkbk. Page 14 #14–24. (Complete PRACTICE Workbook problems on binder paper.)