Solving Multi-Step Equations INTEGRATED MATHEMATICS.

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Presentation transcript:

Solving Multi-Step Equations INTEGRATED MATHEMATICS

Objectives Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms.Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms.

Multi-Step Equations 1) Separate the Equation 2) Simplify A) Distributive Property B) Combine Like-Terms 3) Should It Stay or Should It Go (Variables on Left/Constants on Right) 4) Solve for Variable

Multi-Step Equations

Ex. 5) Ex. 5) 3(7 + 2x) = (x – 1)

Multi-Step Equations Ex. 6) 4(3 + 5y) – 4 = 3 + 2(y – 2)

TRY THESE 2) 3d – 8 – d = 6 4) 4) 4v + 5v – 8 = t + 5 – 11t = = p – 3p

Objectives Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms.Students will calculate the value of an unknown term of a multistep equation through the combination of like-terms. Students will differentiate between equations that have no solution and an infinite number of solutions.

Solutions to Linear Equations An equation with one variable may have: Exactly One Real Solution Infinite Real Solutions (Identity) No Real Solution

Multi-Step Equations Ex. 7) Ex. 7) 5x – 2 = 8x + 4 – 3x

Multi-Step Equations Ex. 8) Ex. 8) 2(4 + x) = x – 6

Multi-Step Equations Ex. 9) Ex. 9) 7x – 3 + 5x = 2(6x + 3) – 9

Multi-Step Equations Ex. 10) Ex. 10) 3m + 3 = 3(m – 2) + 9

1) 1) 3x – 9 + 5x = 2(6x + 3) – 4x TRY THESE 2) 3d – 8 – 2d = 6 – d 4) 4) 4v + 5v – 8 = 3v – v t + 2 – 15t = –3t – 2