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)...

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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

Transcript of 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)...

Page 1: 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.

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

Page 2: 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.)

Page 3: 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.

Examples: Solve each for x

• 1) 10(x-4) = 4(x+4) + 4x

• 2) ½ x + ⅓x = 10

Page 4: 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.

Think Aloud

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

Page 5: 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.

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

Page 6: 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.

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

Page 7: 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.

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

Page 8: 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.

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

Page 9: 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.

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

Page 10: 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.

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

Page 11: 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.

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

Page 12: 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.

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

Page 13: 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.

Student think aloud # 1

5w + 2 = 2w + 5

Page 14: 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.

Student think aloud #2

-4(x + 2) = 3( x – 4)

Page 15: 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.

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