1. 9-5 Evaluating
Expressions with
Integers
Math Notes
Algebra and Functions 1.2

2. Review
Evaluate - To evaluate is to replace the
variable with a given value to come to a
final answer.
n=7 n + 9
given value expression

3. Review
Evaluate - To evaluate is to replace the
variable with a given value to come to a
final answer.
n= 7 + 9
given value expression

4. Review
Evaluate - To evaluate is to replace the
variable with a given value to come to a
final answer.
n= 7 + 9=
given value expression

5. Review
Evaluate - To evaluate is to replace the
variable with a given value to come to a
final answer.
n= 7 + 9 = 16
given value expression

6. Evaluate x + 9 for x = 12
x + 9 x = 12

7. Evaluate x + 9 for x = 12
x + 9 x = 12
STEP ONE: Substitute negative 12 for x

8. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x

9. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives

10. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives
------------

11. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives
STEP THREE: The “+” means add. Add 9 negatives
------------

12. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives
STEP THREE: The “+” means add. Add 9 negatives
------------
- - ------ -

13. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives
STEP THREE: The “+” means add. Add 9 negatives
------------
- - ------ -
How many altogether?

14. Evaluate x + 9 for x = 12
12 + 9 x=
STEP ONE: Substitute negative 12 for x
STEP TWO: Draw 12 negatives
STEP THREE: The “+” means add. Add 9 negatives
------------
- - ------ -
How many altogether?
21

15. Evaluate y - +10 for y = 5
+
x - 10 y= 5

16. Evaluate y - +10 for y = 5
+
x - 10 y= 5
STEP ONE: Substitute negative 5 for x

17. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x

18. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives

19. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
-----

20. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
STEP TWO: The “-” means take away, but there are
NO positives to take away, BORROW that amount.
-----

21. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
STEP TWO: The “-” means take away, but there are
NO positives to take away, BORROW that amount.
-----
++++++++++
----------

22. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
STEP TWO: The “-” means take away, but there are
NO positives to take away, BORROW that amount.
-----
++++++++++
----------
STEP THREE: Take away 10 positives.
What are you left with?

23. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
STEP TWO: The “-” means take away, but there are
NO positives to take away, BORROW that amount.
-----
----------
STEP THREE: Take away 10 positives.
What are you left with?

24. Evaluate y - +10 for y = 5
+
5 - 10 y=
STEP ONE: Substitute negative 5 for x
STEP TWO: Draw 5 negatives
STEP TWO: The “-” means take away, but there are
NO positives to take away, BORROW that amount.
-----
----------
STEP THREE: Take away 10 positives.
What are you left with? 15