1. Recapping 1.1-1.3 Quiz Review your 1.1-1.3 Quiz
Make sure there are no grading errors on it
Quiz corrections
If there is anything you got wrong, it is worth asking about
Learn from your mistakes
Concepts will reappear throughout all of Algebra 1(A/B)

2. 1.5 – Equations SCHEDULE: Warm-Up Review 1.1-1.3 Quiz 1.5 Notes
Partner Practice
Begin Homework

3. Warm-up
Simplify 8n n.
Use the Distributive Property to evaluate 5(z – 3) + 4z.

4. 1.5 – Equations OBJECTIVES: Check solutions to equations.
Solve equations with one variable
Solve equations with two variables.

5. Journal Time Expressions are similar to equations because…
Expressions are different from equations because…

6. Vocabulary
Equation: An equation is made when an equal sign is used between two expressions creating a right and left side of the equation.
2 + 4 6
2 + 4 = 6

7. Vocabulary Check Room must be silent Indicate your answer by:
Putting one finger up if you see an expression
Putting TWO FINGERS up if you see an EQUATION

8. 3x + 1 = 14
= Expression
= EQUATION

9. 7y - 6
= Expression
= EQUATION

10. 5x – 1 = 3
= Expression
= EQUATION

11. 5x – 1 = 3 + x
= Expression
= EQUATION

12. Solutions of Equations
When you take an equation and replace the variables with numbers, you can make the statement either TRUE or FALSE. If it becomes true, then the number is called a SOLUTION of the equation.

13. Is it a solution? Equation: 3x + 1 = 7
Is the number 1 a solution to the equation?
Is the number 2 a solution to the equation?
Is the number 3 a solution to the equation?

14. Example 1
Find the solution set for 4a + 7 = 23 if the replacement set is {2, 3, 4, 5, 6}.

15. Now you try!
A. {0}
B. {2}
C. {1}
D. {4}
Find the solution set for 6c – 5 = 7 if the replacement set is {0, 1, 2, 3, 4}.

16. Solving An equation x + 2 = 5
This means you found ALL THE SOLUTIONS of an equation.
x + 2 = 5
Ask yourself the question, “What number can be added to 2 to obtain 5?”

17. 5 steps to solving linear equations
Simplify the equation.
Combine like terms on each side.
Move all constants to one side.
Move all variables to the other side.
Divide both sides of the equation by the coefficient of the variable.
EXAMPLE: Solve for x.

18. Easy….
Solve 3 + 4(23 – 2) = b.

19. Extra Credit Opportunity!
Raise you hand and I will give you a notecard to put your table from the replacement set on.
You will receive 2%pts added to your quiz.
Thanks for doing what I ask!!

20. Medium...
Solve (42 – 6) + f – 9 = 12.

21. Hard…
Solve 4 + (32 + 7) ÷ n = 8.

22. I Challenge you!
Solve 4n – (12 + 2) = n(6 – 2) – 9.

23. Pass the Marker.
Solve 2n + 72 – 29 = (23 – 3 • 2)n + 29.

24. Word PRoblems
Dana pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class. Write and solve an equation to find the total amount Dana spent this month if she took 12 Pilates classes.
c = 2p + 16

25. Exit Slip – On a Notecard
SHOPPING An online catalog’s price for a jacket is $ The company also charges $9.25 for shipping per order. Write and solve an equation to find the total cost of an order for 6 jackets.
A. c = ; $51.25
B. c = 9.25j + 42; $97.50
C. c = (42 – 9.25)j; $196.50
D. c = 42j ; $261.25
Homework
1.5 Practice (ALL)

26. Pass the Marker.
Solve (5 + 8 ÷ 4) + 3k = 3(k + 32) – 89.