Algebraic Properties

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

Page 40 1-10 (Class Ex) Page 41 1, 2, 4 (Written Ex)