Algebra Essentials

That's Irrational

100

Is  10/sqrt3 rational or irrational?

irrational

200

Is  sqrt16 rational or irrational?

Rational

300

Is  sqrt8 + sqrt3 rational or irrational?

Irrational 

400

Is  sqrt24/sqrt6  rational or irrational?

Rational

500

Is  pi rational or irrational?

Irrational

Poly want an exponent?

100

It is a monomial with a leading coefficient of 2 on the variable with a degree of 3

 2x^3 

200

A binomial with a leading coefficient of 4 with a degree of 2, and a constant of -16

4x² - 16 

300

first term has a degree of 2, second term has a coefficient of 5 with a degree of 1, and a constant of -6. 

x² + 5x - 6

400

First term has a coefficient of 9 with a degree of 4, and a coefficient of -64

9x⁴ - 64

500

First term has a coefficient of 3 with a degree of 2, second term has a coefficient of 4 with a degree of 1, and a constant of 5

3x² + 4x + 5

Linear v. Exponential

100

y = mx + b 

Linear

200

y - y₁ = m(x - x₁) 

Linear

300

y = ab^x

exponential 

400

A person is training for a marathon. They already run 5 miles a week. They want to increase the distance they run by 2 miles each week. 

Linear (y = 2x + 5)

500

You buy a car. It's value depreciates (gets less valuable) by 4% each year.

Exponential (y= .96^x)

% to decimals

100

Convert 20% to a decimal

.2

200

Convert 5% to a sdecimal

.05

300

Convert 75% to a decimal

.75

400

Convert 125% to a decimal

1.25

500

Convert .2% to a decimal

.002

Rationalize this!

100

1/sqrt11

 

sqrt11/11

200

 1/sqrt3 

sqrt3/3

300

 1/sqrt5 

sqrt5/5

400

 1/sqrt2 

sqrt2/2

500

 1/sqrt8 

sqrt8/8