1’s tell your partner what is the goal in an equation.
Use Algebra Tiles to model 8 + x = 15 Write the equation that matches the model and solve + = = +
Solving Addition Equations Step 1: isolate the variable by using the inverse operation of the constant to both sides Step 2: Subtract (remember integer rules) Step 3: bring down your variable and your difference ½ + x = 3/5 Step 1: ½ + x = 3/5 - ½ - ½ = 1/10 Step 2: Step 3: X = 1/10
Explain how you isolate the variable. 2’s tell your partner what is the name of the step the gets the variable alone called? Explain how you isolate the variable.
Error Analysis 36 + y = 97 -36 = +36 y = 133 Identify my error -36 = +36 y = 133 Identify my error Correct the error and solve for y
Solving Subtraction Equations Step 1: isolate the variable by using the inverse operation of the constant to both sides Step 2: Add (remember integer rules) Step 3: bring down your variable and your sum x - 3 = -8 Step 1: x - 3 = -8 + (3) + (3) = -5 Step 2: Step 3: X = -5
Subtraction Equations To solve subtraction equations, add the same number to both sides of the equation. X – 15 = 22 +15 = +15 x = 37 Higher Level: x - (-5) = 12 +(-5) = +(-5) x = 7
Assessment Prompt Discuss with your partner: how you would solve the problems below: -12 + y = 8 -9 – x = -14 (Easy trick: use the rule of integers and turn your subtraction problem into an addition problem by adding the additive inverse (opposite) )
Higher level Practice -5 – x = 12 Turn into addition 5 + x + -2 = 18 You may have to combine like terms
What is the verbal model for this equation?