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Solving multi-step linear equations with variables on both sides?

Last updated almost 6 years ago

7 questions

3

3

3

3

3

3

3

Question 1

1.

Solve: 7x + 19 = -2x + 55

Question 2

2.

Describe three steps you followed to solve problem #1.

Question 3

3.

Consider this equation: 2x + 3(4x - 3) = 8 - 3x. How is it different from the equation in problem #1?

Question 4

4.

Question 5

5.

Solve: 2x + 3(4x - 3) = 8 - 3x

Question 6

6.

Question 7

7.

Challenge!
Below is the left side of an equation. Create any two terms that could be added on the right side so that solution to the equation is x = 2.

-2(4x - 1) + 15x = ???

Which property will you use to solve the equation given in #3?

Associative Property

Commutative Property

Distributive Property

Challenge! 
Below is the left side of an equation. Choose two terms that could be added on the right side so that solution to the equation is x = -4.
-4 - (2 - 3x) = ? + ?

5x

3x

-4x

-1

2

-3