Algebraic Expressions and Equations

Apples and Pears!

100

9x + 8y - 4x + 5y

5x + 13y

200

3x² + 2y² - 2x² + 4y²

x² + 6y²

300

6xy + 6x² + 10yx + 2y² - 4xy 

6x² + 12xy + 2y²

400

(x - 3x²) + (5x² + x - 11) 

2x² + 2x - 11

500

(y² - 2y + 7) - (12y² + 8y + 10)

-11y² - 10y - 3

Evaluating Expressions

100

x=2.5

3x - 7

0.5 

200

x= 1/3

6x² - 7x + 12

31/3

300

x=10 

(3/5x + 7)x

130

400

x=7      y=3

9x⁵ - 8xy + 4y³ + 6 

151137

500

n= -2/3

4 + 3n - 2n² 

10/9

Solve!

100

x + 5 = 12

x = 7

200

y - 4 = 5

y = 9 

300

t + (-2) = 6

t = 8 

400

10 x - 15 x = 43 + 32

x = -15

500

14x - (-2x) = -25-23

x = -3

Double the work

100

8x² = 32

x = 2 or x = -2

200

4(x+4) = 24

x = 2 

300

4x - 3 = -8x + 57

x= 5

400

3(x-1) - 5 = -11

x=-1

500

x+ ((4x+2)/6) = 5

x=14/5

Terminology

100

Expression vs. Equation

Expression - math phrase made up of numbers of variables connected by operations (no equal sign)

Equation - 2 expressions that are equal (equal sign)

200

Coefficient 

a number written beside a variable tells you to multiply by that number 

300

Trinomial 

An expression with 3 terms 

400

Polynomial 

an expression with one or more terms 

500

Degree of a term 

the sum of the exponents in the term