Name Adding and SubtractingPolynomials

+ 7x- f ) - (x2-3x + 4) =

2x2 + 7)1%2 - x2 - 3x + 4 =

(2 + 7 - 2 - 1 - 3 + 4)x (2 + 1 + 2 + 1 > =

1, 7x6

Wrong!

Right!

+ 7x-2) - (x 2 -3x + 4) =

2x2 + 7x - 2 - x2 + 3x - 4 =

(2x2-x2) (-2-4) =

10x-6

— Quick Review

1. The variables and powers must be exactly alike to add or subtract like terms.You may want to outline the like terms with the same shape to keep them straight.

2. Remember to change all signs in an expression when subtracting it from another. t

3. When adding or subtracting terms with exponents, combineonly the coefficients. The exponents stay the same.

Add or subtract, then use the code to find the name of a British mathe-matician. Some consider her the first computer programmer becauseshe described the possibilities of Charles Babbage's Analytical Engine. ,.

1. 4x + 5y - 2x + y =

2. 3x + y - x + 2x - 4y =

3. xy + 2x - x - xy + 7y =

4. x2y - 9 + 3x + x2y + 5 =

5. 4x2y2 - x2y + 2xy - x2y2 + x2y =

6. (9x2 - 7) + (-3x2 + 3) _

7. (6x + 4) - (2x + 1) =

8. (2x2 + 5x - 3) + (x2 - x + 2) =

9. (5x2 - 2x + 4) - (x2 + 6x - 10) =

10. (4x2 + 3x - 1) - (x2 - 2x + 9) =

11. (x2 + 8x - 7) + (3x2 - x) + (5x - 1) =

L

A

D

E

A

O

C

V

E

L

A

2x2y + 3x - 4

2x + 6y

4x- 3y

4x + 3

x + 7y

3x2y2 + 2xy

3x2 + 5x-10

6x2 -4

4x2 + 12x-8

3x2 + 4x-1

4x2 -8x + 14

1 2 3

Milliken Publishing Company

5 6

5

8 10 11

MP3444

Name Order of Operations

Given a = -4|b =2, and cevaluate the expression.

= -3,

c2 b a =

9 - 2 + -4 =9 - f-2 1 = 11

Given a = -4, b = 2, and cevaluate the expression.

c2 - b + a =(-3)(-3) - 2 + -4 =

9 - 2 + -4 =7 + - 4 = 3

= 3,

— Quick Review

1. Use PEMDAS or the phrase Please Excuse My Dear Aunt Sally toremember the order of operations: Parentheses (and other groupingsymbols). Exponents, Multiplication and Division (in order from leftto right), then Addition and Subtraction (in order from left to right).

2. If there is more than one set of grouping symbols, such asparentheses and brackets, begin with the innermost group and work outward.

3. A fraction bar is a grouping symbol.It indicates division.

a + bb-c

Evaluate each expression given that a = -4, b = 2, and c = -3. Shade in your answers.

1. a2 + c =

2. a + b - c =

3. 2(a + b) =

4. 3ac + b =

s. 5b - (a + c) =

e. 3c - b + a =

b2

8.a + bc- a

9. 3a2 =

10. (4b)2 =

11. 100(2b + a) =

12. (a - b)2 =

c + 4

13. a(b2-c) =

14.2c2

b-a

is. 5[(a + b) - 6c] =

16. c[2(b + 3a) + 10] =

© Milliken Publishing Company MP3444