ALGEBRA INTRO

TERMS

100

Is any letter that stands for a number. Mostly used as X or Y.

VARIABLE

200

The number without the variable in an equation

Constant

300

Is any string of numbers and symbols that makes sense and includes an equal sign.

Equation

400

Is the numerical part of a term, including the sign that precedes it

Coefficient

500

branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them.”

ALGEBRA

EQUATIONS

100

X+20=30

X=10

200

3X-7=23

X=10

300

3y*8=24

y=1

400

15 + 5x = 0

x=-3

500

2x - 10 = 10 - 3x

x=4

Variable Operations

100

2x + 5x =

7x

200

2x - 5x

-3x

300

2x+3y-6y=

2x-3y

400

x+x

=x

500

(x³)⁴

x¹²

Elimination

100

3y+2x=6

5y−2x=10

(0,2)

200

  4  x + 8  y = 20 

−4  x + 2  y = −30

(7,-1)

300

7  x + 2  y = 24

 8  x + 2  y = 30

(6, −9)

400

5  x +   y = 9 

10  x − 7  y = −18

(1, 4)

500

16  x − 10  y = 10 

−8  x − 6  y = 6

(0, −1)

Substitution

100

y =  6  x − 11 

−2  x − 3  y = −7

(2, 1)

200

2  x − 3  y = −1  

y =    x − 1

(4, 3)

300

y = −2 

4  x − 3  y = 18

(3, −2)

400

y =  5  x − 7 

−3  x − 2  y = −12

(2, 3)

500

−3  x − 3  y = 3  

y =  −5  x − 17

(−4, 3)