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SWBAT solve multi step equations in one variable, Study notes of Algebra

Gonzaga UniversityAlgebra

Solving Equations Procedure. 1. Combine like terms on each side of the equal sign. 2. Add or subtract on both sides. 3. Multiply or divide on both sides.

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2022/2023

Uploaded on 02/28/2023

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SWBAT solve multi step equations in one variable
1
Name: _______________________________________________________ Date: _____________________
Lesson 2
Solving Equations
Multi Step
Warm Up
Directions: Simplify each expression.
1)
10cc
2)
5 2 2 7mm
3)
6 2 5xx
Solving Equations Procedure
1. Combine like terms on each side of the equal sign
2. Add or subtract on both sides
3. Multiply or divide on both sides
4. Check
Solving Two Step Equations
Model Problems
1) 3x + 7 = –5
Practice Problems
3)
5 2 32x
4)
72x
pf3
pf4
pf5

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Name: _______________________________________________________ Date: _____________________ Lesson 2

Solving Equations

Multi Step Warm Up Directions: Simplify each expression.

1) 10 c  c 2) 5 m  2 2 m  7  3) 6 x   2 x  5 

Solving Equations Procedure

  1. Combine like terms on each side of the equal sign
  2. Add or subtract on both sides
  3. Multiply or divide on both sides
  4. Check Solving Two Step Equations Model Problems
  1. 3 x + 7 = – 5 2) 18 = 4 x + 10 Practice Problems
  2. 5 x  2   32 4)   x 7   2

Combining Like Terms and Solving Equations Model Problems

  1. 5 x + 18 – 8 x = 33 6) – 3 x – 4 + 2 x = 2 Practice Problems
  2. 5  4 x  3   30 8)   5 x  16   3 9) 7 x  14  5 x   8 Distributing, Combining Like Terms and Solving Equations Model Problems

10) 2 3   d  4 11) 4  x  2   2 x  40

Extra Practice Problems

  1. – 5 x – 8 + 12 = 34 23) – 14 = 6 x – 4 – 7 x 24) 7 x – 3( x – 4) = 8
  2. 4( x – 2) + 2 x = 40 26) 6( x – 1) + 11 = 53 27) 17 = x – 3( x + 1) Summary Exit Ticket Solve for x and circle your answer_._ -2( x – 8) = 20 (a) - (b) - (c) - (d) 18

Name: __________________________________________________________________ Date: ____________________

Solving Equations

Two Step, Combining Like Terms, Distributive Property Directions : Solve each equation for the variable. Show all work.

    • 4 x + 7 = 11 2) 17 = 5 y – 3 3) - 4 = 2 p + 10
    • ( x – 10) = 7 5) - 2( y + 5) = - 6 6) 8 = 4( x – 2) + 4
  3. x – 4 + 2 x = 14 8) 4( y + 1) = - 8 9) - 2( d + 6) = - 10