Bell Ringer – solve each for x.

• 1) x + 7 = 12• 2) x-6 = 2• 3) 4x = 20• 4) ⅓x = 6• 5) 2x -4 = 12• 6) ⅙x + 2 = 4• 7) 3x + 5 = 10x -9

Steps to Solving an Equation

• 1) Simplify each side (expression) of equation separately. (distribute, combine like terms)

• 2) Remove fractions if desired (multiply everything on both sides by the Least Common Multiple – common denominator)

• 3) Move variable term to one side (add or subtract)

• 4) Eliminate constant (add or subtract)• 5) Eliminate coefficient (divide or mult. by recip.)

Examples: Solve each for x

• 1) 10(x-4) = 4(x+4) + 4x

• 2) ½ x + ⅓x = 10

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1)

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6 3 3 eliminate coefficient

Think Aloud

Explain out loud what to do, how and why at each step of the process. 3(x – 5) = 6 (x + 1) Simplify each side3x -15 = 6x + 6 Distribute-3x -3x Move variables to 1 side -15 = 3x + 6 subtracted 3x -6 -6 eliminate constant -21 = 3x subtracted 6 3 3 eliminate coefficient -7 = x divided by 3

Student think aloud # 1

5w + 2 = 2w + 5

Student think aloud #2

-4(x + 2) = 3( x – 4)

Process Analysis

• A written think aloud in paragraph form.• Solve problem on top of paper.• After EACH step, write a sentence explaining

WHAT you did, HOW and WHY. 12(x + 3) = 2(x + 5) – 3x