LESSON 3: PROPERTIES OF EQUALITY & SOLVING ONE VARIABLE EQUATIONS WARM UP

UNIT 1: EQUATIONS & POLYNOMIALS

LESSON 3: PROPERTIES OF EQUALITY & SOLVING ONE VARIABLE EQUATIONS

WARM UP

Explain the steps used to solve these equations:

1. 4x ? 5 = -2 4x = 3 x =

1) Given Equation (always 1st step) 2) 3)

2. + 12 = 2

1)

= -10

2)

= -60

3)

3. x ? 2 =

1)

5(x ? 2)= 2x + 8

2)

5x ? 10 = 2x + 8

3)

3x ? 10 = 8

4)

3x = 18

5)

x =6

6)

NOTES Things to consider:

1) What is the difference in an expression and an equation? 2) What is the solution to an equation? 3) How do you know when an equation is solved?

PROPERTIES OF EQUALITY

ALGEBRAIC PROOF EXAMPLES:

b) Given: Proof: x = -4

PRACTICE:

14) Given: -3(x + 2)= 16 ? x Prove: x = - 11

NAME _______________________________________ DATE ______________ GRADED PRACTICE UNIT 1 LESSON 3: Complete the algebraic proofs.

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