Algebraic Equations Solving One Step Equations with Whole
Algebraic Equations Solving One Step Equations with Whole Numbers Addition and Subtraction
The Meaning of Inverse • Inverse means “opposite” • In order to solve equations we do the inverse of the operation being used in the equation. • Example: x + 7 = 10 -7 -7 x = 3 *The inverse or opposite of addition is subtraction, so we subtract 7 from both sides of the equal sign to determine what the value of x is.
Inverses • Lets remember what the inverse of each of the operations are. What is the inverse of……. . Ø Addition? Ø Subtraction? Ø Multiplication? Ø Division?
Steps to Solving an Equation • How would we solve this problem? v – 13 = 16 Step 1: See what operation is being used Step 2: What is the inverse or opposite operation? Step 3: Use the inverse operation on each side of the equal sign to determine the value of the variable.
Solving the Equation v – 13 = 16 1. ) The operation being used is (Subtraction) 2. ) The inverse of subtraction is addition 3. ) I will add 13 to both sides of the equal sign to determine the value of v. v – 13 = 16 + 13 +13 v = 29
Let’s Practice Some More • t + 89 = 100 - 89 -89 t = 11 a – 47 = 39 + 47 a = 85
Exceptions • What is we have an equation that looks like this? 16 – x = 7 • To solve a subtraction problem where the variable is in between the two constants we use the first constant, take the subtraction sign and the second constant and subtract. • So we would take 16 – 7 to get the value for x. • Therefore, x = 9
Lets try another exception… 14 – k = 3 The variable is in the middle so we will take the first constant and subtract it from the second constant to get the value for k. 14 – 3 = k k = 11
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