Download 2.2 Smartboard Solving Multistep Equations Class Notes October 07, 2009

2.2 Smartboard Solving Multistep Equations Class Notes
October 07, 2009
2.2: Solving Multistep Equations Goal : Learn how to isolate the variable in an equation by performing more than one inverse operation on both sides of the equation then solve the equation. Homework: Worksheet Solving Equations with Two Arithmetic Operations In equations in which the variable is involved in two different arithmetic operations, isolate the variable by undoing any addition or subtraction before undoing any multiplication or division. Example 1 Find the solutions set of 3x­5=22 Example 2 Solve for y and check y
3
− 2 = 13
Oct 6­1:51 PM
2.2: Solving Multistep Equations Solving Equations with Parentheses 2.2: Solving Multistep Equations If an equation contains parentheses, remove the parentheses using the distributive property. 3 Solve for the variable and check: 7-2x=-13
Example 5 Solve for x and check: 3(1­2x)+8=­13 4 Solve for the variable and check: -32=7-3w
1 Solve for the variable and check: 0.4y+5=1
5 Solve for the variable and check: x
5
+ 8 = 10
6 Rewrite 2 {x 3 x − 1 = 23} in roster­form. Solve for the variable and check: 3x-1=-16
If − 2x + 3 = 7 and 3 x + 1 = 5 + y , what is the value of y? 8 If the sum of three times a number and 5 is 32, what is the number? 9 When 2 is subtracted from one­third of a number, the result is 3. What is the number? 10 If 27 exceeds three times the sum of a number and 5 by 1, what is the number? 1