BELL RINGER Go over Homework 1 6 Solving

BELL RINGER Go over Homework

1 -6 Solving Equations by Adding & Subtracting

Equation An algebraic expression with an equals sign (A complete sentence) 33/x – 2 = 1 x+3=5 4 x – 1 = 11

Solution A solution to an equation is any value that makes the equation true. 11 is a solution for 33/x – 2 = 1 2 is a solution for x + 3 = 5 3 is a solution for 4 x – 1 = 11

Isolate Not i var ce the ia ALW ble is pos AYS itiv e To get a variable alone on one side of the equation. A=2 X=3 -5 6=x

Addition Property of Equality When you add the same number/variable to each side of an equation, the two sides remain equal A=B A+C=B+C x-3=5 X -3 + 3 = 5 + 3 -1 = 12 –s -1 +s = 12 – s + s

Subtraction Property of Equality When you subtract the same number/variable to each side of an equation, the two sides remain equal 5(2) = 10 5(2) - 3 = 10 - 3 x+9=5 X +9 - 9 = 5 - 9 -11 = 12 + s -11 - s = 12 + s - s

Ch. 1 -6 Solving Equations by Adding and Subtracting To find a solution, isolate the variable, or get it alone on one side. Use the either the addition or subtraction property of equality depending on the operation in front of the number your are trying to move. Example: 8 + x = 10 You want to move the eight to get x by itself. 8 – 8 + x = 10 -8 The sign in front of the 8 is positive so subtract 8 from both sides. 0+x=2 For this section we will be talking about addition and subtraction. Subtraction Inverse of Addition is _______ Addition Inverse of Subtraction is _______

Ch. 1 -6 Solving Equations by Adding and Subtracting Steps to solve equation or isolate the variable: 1. Move variable if negative by using the addition property of equality 2. If the number you wish to move is negative use the addition property of equality 3. If the number you wish to move is positive use the subtraction property of equality 4. Simplify 5. Check to see if your answer is correct

Solve Addition Equations Step 2 Use addition property of equality Step 3 Simplify Step 4 Check

Solving Equations by Adding Step 2 Step 3 Step 4 Undo subtraction by using the addition property of equality Simplify Check

Solving Equations by Adding You always want the variable to be positive Step 1 Step 2 Step 3 Step 4 Get rid of negative variable by using addition property of equality Get rid of +19 by using subtraction property of equality Simplify Check

Solving Equations by Subtracting Step 2 Undo addition Step 3 Simplify Step 4 Check

Example 1: Solve each equation below by doing the opposite of the operation shown. a. ) p – 1 = -12 +1 +1 p = -11 c. ) a – 9 = 45 +9 +9 b. ) -37 = y – 2 +2 -35 = y REWRITE AS d. ) b – 2 = -2 +2 +2 b=0 a = 54 e. ) a + 15 = 10 -15 +2 f. ) x + 9 = -2 -9 -9 a = -5 x = -11 g. ) 19 + g = 32 h. ) -10 = 3 + c -19 g = 13 -3 -3 c = -13 Y = -35

Example 2: For each equation below determine whether -3 is a solution. a. ) a + 4 = 7 No b. ) w – 7 = -10 c. ) -1 + c = 4 d. ) r + 3 = 0 Yes No e. ) Yes f. ) Yes No

Homework ¡ Pg 35 l l 10 -34 even 10 -26 show steps (2 pts) 28 -34 one point