Write the converse of the statement. Determine if true or false. If false, find a counterexample.
‘If it is raining, then I’ll carry an umbrella.’
Objective: Justify steps to solve an equation using algebraic properties.
Adding the SAME thing to both sides of an equation.
If 3x – 5 = -2 Then… 3x = 3
Subtracting the SAME thing from both sides of an equation.
If 5y + 2 = -9 Then… 5y = -11
Multiplying the SAME thing by both sides of an equation.
If w ÷ 2 = -9 Then… w = -18
Diving the SAME thing by both sides of an equation.
If -4y = -32 Then… y=8
If a = b, then either a or b may be substituted for the other in any equation (or inequality).
a and b represent the entire side of the equation
If y = (2x – 3) and 3x + 2y = 7 Then, 3x + 2(2x – 3) = 7
a (b + c) = ab + ac 3(2x – 5 ) = 6x -15
a=a ∠B ≅ ∠B
Anything equal to ITSELF.
If a = b, then b = a.
If ML = GT, then GT = ML
Difference between symmetric and reflexive?
Please complete in two column format Given: 3x = 6 - ½x Prove: x = 12/7
Please complete in two column format Given: x + 5y = 3 + 4x and y = 2 Prove: x = 7/3
Given: 3y + 4 = (2y)/ 5 Prove: y = -20/13
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