One-Step Addition and Subtraction Equations We are learning to…use inverse operations to solve for a variable in an equation.
Take the following Algebra Tiles out of your bag! Trace each of these Algebra Tiles on your notes. 1 unit x units Area/Name: “1 UNIT TILE” Area/Name: “-1 UNIT TILE” 1 unit Area/Name: “X TILE” Area/Name: “Y UNIT TILE” y units 1 unit Name each tile by its area. 1 unit
One-Step Addition and Subtraction Equations The variables, x and y, represent missing values in our equations today. Our job is to find the value of the variable by isolating the variable on one side of the equation.
Example #1 = Record your steps mathematically: Check your Solution:
Example #2 = Record your steps mathematically: Check your Solution:
Example #3 = Record your steps mathematically: Check your Solution:
Example #4 = Record your steps mathematically: Check your Solution:
Try these on your own...
The answers...
y – (–9) = 4 y + 9 = 4 y + 9 – 9 = 4 – 9 y = – 5 Check y – (–9) = 4 –5 – (–9) = 4 –5 + 9 = 4 3 – y = 7 3 – 3 – y = 7 – 3 – y = 4 y = – 4 Check 3 – y = 7 3 – (–4)= = 7
The answers...
n + (–8) = 11 n – 8 = 11 n – = n = 19 Check n + (–8) = (–8) = 11 –2 – n = –16 –2 + 2 – n = – – n = –14 n = 14 Check –2 – n = –16 –2 – 14 = –16 –2 + (–14) = –16