Order of Operations 1.2 Algebra r of Operations

Order of Operations

r of Operations

Algebra 1.2

P lease

Parenthesis - Do all grouped operations first.

E xcuse

Exponents - Second

M y D ear

Multiplication and Division - Left to Right.

A unt S haniqua

Addition and Subtraction - Left to Right.

Follow the correct order of operations to evaluate expressions.

Evaluate: Remember to use the correct Order of Operations.

1. 18 5 2

2. 212 6 2

Evaluate for a=3, b=4, c=5, d=10

23 22

3.

10

1. ab bc d

c ad 2. a b

3. 2 bd c a2

Solve the following using the correct order of operations:

1. 3333

6. 32 333

2. 3333

7. 3333

3. (33) 33

8. (333) 3

4. 3333

9. 3333

5. (3 3) (3 3)

10. 32 333

Name________________________ Period _____

Order of Operations Practice Algebra 1.2

When evaluating expressions, work using the correct order of operations:

P (Parenthesis) Do all grouped operations first. E (Exponents) Do all operations involving exponents. M D (Mult./Div.) Do all multiplication and division from left to right. A S (Add./Sub.) Do all addition and subtraction last - from left to right.

Solve:

1. ( 9 1 ) 2 5

2. 15 3 2

3. (6 3)( 5 2 )

4. 2[ 4 (9 2 )]

5. 6 (9 1) 2

(5 2)2

6.

3

2 6 3

7.

5

8. 37 2 2 3

9.

3 (15 3) 6 4

10. 3 (5 3 2 3 ) 2 8

Name________________________ Period _____

Order of Operations Practice Algebra 1.2

Evaluate for a=3, b=4, c=6

11. c ( 2 a b ) 2

12. b 2 a 2

13. ( a b )( c b ) 2

15. c (b 2 a )

c b a

17.

3

14. 2[c (3b a )] 6(c b)2

16.

a 18. b c 2 a

19. b (c a ) 3c

20. a ab 2 c

Integer Addition

Algebra 1.4

notes:

Integers are positive and negative Whole Numbers like

-9 127 -90 -54 75 120 65 21 -78 -23 -11 70

Integers are NOT decimals or fractions.

Adding and subtracting integers can seem unnecessarily complicated. Try the following practice problems first:

Practice:

1. 13 31 2. 13 31

3. 3113 4. 13 (31)

5. 3113 6. 31 (13) 7. 3113 8. 31 (13)

If you got all of these right, you already have a proven method for adding and subtracting integers. Close your ears, sit quietly, and continue using your own method. If you missed even one, pay close attention and take notes.

notes:

Adding Integers:

Same Sign Sum When adding integers with the same sign, find the sum and keep the

sign of both numbers.

1. 13 11

2. 13 (11) 3. 23 2

4. 23 (2)

Different Sign Difference When adding integers with different signs, find the difference and

keep the sign of the `bigger' number.

1. 13 11

Mixed Review Add:

2. 13 (11)

3. 23 (2) 4. 23 2

1. 15 (14) 5. 12 (14)

2. 3 (8) 6. 6 11

3. 7 (8) 7. 9 (5)

4. 13 (6) 8. 23 (23)

Subtraction

Subtracting Integers:

Algebra 1.4

SMATO Subtraction Means Add The Opposite

Subtracting Integers is more complicated than adding integers. To subtract integers, change subtraction to addition and switch the sign

of the second number. Then, follow the two rules we have learned for adding integers.

Examples: SMATO Change to addition.

1. 11 15

2. 21 3

3. 8 (14)

Practice: Change to addition, then solve.

4. 30 (5)

1. 13 25

4. 29 (6)

2. 11 15 3. 17 (26)

5. 15 23 6. 29 21 (7)

Adding and Subtracting Rationals: Use the same rules for fractions and decimals as you would for integers: Same Sign Sum, Different Sign Difference, SMATO.

Examples:

1. 1 1 4 10

4. 4.25 (2.75)

2. 3.5 4.9

11 5. 1 5

62

3.

1 3

7 8

6. 1.4 0 .03

Practice:

1. 1 2 23

4. 6.2 (2.1)

2. 1.9 4.5 5. 3 1 5 1

24

3.

4 9 5 10

6. 2.9 (1.05)

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