1. 1.1a Classwork: Simplify Linear Equations Read your handout. Stop when you get to problem one.

2. 1. 5x-3x-64 Find zero pairs and write the simplified form of this expression

3. 1. 5x-3x-64 Find zero pairs and write the simplified form of this expression One zero pair. Keep crossing off zero pairs.

4. 1. 5x-3x-64 Find zero pairs and write the simplified form of this expression Answer 2x+ -2. NOT SIMPLFIED.

5. 1. 5x-3x-64 Find zero pairs and write the simplified form of this expression Answer 2x+ -2. NOT SIMPLFIED. Find zero pairs and write the simplified form of this expression Answer 2x+ -2. NOT SIMPLFIED. 2x-2 (can’t have + a -)

6. 2. Model the expression -4x + 3 + 5x + -1

7. 2. Model the expression. Then find zero pairs and simplify. -4x + 3 + 5x + -1 -4x 35x -1

8. 2. Model the expression. Then find zero pairs and simplify. -4x + 3 + 5x + -1 -4x 35x -1

9. 2. Model the expression. Then find zero pairs and simplify. -4x + 3 + 5x + -1 -4x 35x -1 Answer: x +2

10. The following is a model of the expression 3(x + 1) Write the simplified form of this expression 3x + 3

11. Model and simplify each expression 4. 2(x + 2) + -x 5. 3 + -3x + 4(x + -3)

12. Model and simplify each expression 2(x + 2) + -x3 + -3x + 4(x + -3)

13. Model and simplify each expression 2(x + 2) + -x3 + -3x + 4(x + -3) x + 4x + -9 need to simplify x - 9

14. Simplify each expression 6. -4x + 3 + 5(2x – 1)(add the opposite)

15. Simplify each expression 6.-4x + 3 + 5(2x – 1)(add the opposite) -4x + 3 + 5(2x + -1)

16. Simplify each expression 6.-4x + 3 + 5(2x – 1)(add the opposite) -4x + 3 + 5(2x + -1) -4x + 3 + 10x + -5(distribute)

17. Simplify each expression 6. -4x + 3 + 5(2x – 1)(add the opposite) -4x + 3 + 5(2x + -1) -4x + 3 + 10x + -5(distribute) 6x + 3 + -5(Combine x’s)

18. Simplify each expression 6. -4x + 3 + 5(2x – 1)(add the opposite) -4x + 3 + 5(2x + -1) -4x + 3 + 10x + -5(distribute) 6x + 3 + -5(Combine x’s) 6x + -2(Combine numbers)

19. Simplify each expression 6. -4x + 3 + 5(2x – 1)(add the opposite) -4x + 3 + 5(2x + -1) -4x + 3 + 10x + -5(distribute) 6x + 3 + -5(Combine x’s) 6x + -2(Combine numbers) 6x -2(simplify)

20. 7.12 – (x – 2) + 4x

21. 12 + - (x + -2) + 4x(add the opposite)

22. 7.12 – (x – 2) + 4x 12 + - (x + -2) + 4x(add the opposite) 12 + - (x + -2) + 4x (negative by itself is a -1)

23. 7.12 – (x – 2) + 4x 12 + - (x + -2) + 4x(add the opposite) 12 + - (x + -2) + 4x (negative by itself is a -1) 12 + -1(x + -2) + 4x

24. 7.12 – (x – 2) + 4x 12 + - (x + -2) + 4x(add the opposite) 12 + - (x + -2) + 4x (negative by itself is a -1) 12 + -1(x + -2) + 4x 12 + -1x + 2 + 4x(distribute)

25. 7.12 – (x – 2) + 4x 12 + - (x + -2) + 4x(add the opposite) 12 + - (x + -2) + 4x (negative by itself is a -1) 12 + -1(x + -2) + 4x 12 + -1x + 2 + 4x(distribute) 3x + 12 + 2(Combine x’s)

26. 7.12 – (x – 2) + 4x 12 + - (x + -2) + 4x(add the opposite) 12 + - (x + -2) + 4x (negative by itself is a -1) 12 + -1(x + -2) + 4x 12 + -1x + 2 + 4x(distribute) 3x + 12 + 2(Combine x’s) 3x + 14(Combine numbers)