Algebra Concepts & Connections Topics

Rational numbers

100

x/2 + 1/3 = 5/6

x = 1

200

(x+1)/4 - x/2 = 1/4

x=0

300

3/x + 1/2 =1

x=6

400

(2x - 1)/ 3 = (x + 2)/5

x=11/7

500

1 / x + 2/ x (x+1) = 3 /(x(x + 1))

x= 2/3

Irrational numbers

100

√(x+1)=3

x=8

200

√(2x-1) = x-2

x=5 or x=1

300

√(x+3) + √(x)=5

x= 4.84

400

√(x2 + 5)=x+1

x=2

500

√(3x + 7) - √(x+2)= 1

x=-1 or x =-2

Exponential functions

100

f(0) = 1, f(1) = 2, f(2) = 4, f(3) = 8

f(x) = 2

200

 g(0) = 1, g(1) = 1/2, g(2) = 1/4, g(3) = 1/8

 g(x) = (1/2)

300

 h(0) = 3, h(1) = 6, h(2) = 12, h(3) = 24

 h(x) = 3 * 2ˣ

400

k(0) = 1, k(1) ≈ 2.718, k(2) ≈ 7.389 

 k(x) = e

500

m(0) = 100, m(1) = 90, m(2) = 81, m(3) = 72.9

m(x) = 100 * (0.9)ˣ