Unit 1 Review

Polynomials

100

(x²+3x) + (3x²-5x)

4x²-2x

200

(3x²-5)-(-2x²-5)

5x²

300

(4x+3)(-3x+6)

-12x²+15x+18

400

(2x²+x)(5x-3)

10x³-x²-3x

500

-(x²+2x+4)(2x+2)

-2x³-6x²-12x-8

Simplifying Radicals

100

simplify the square root of 28

2 times the square root of 7

200

Simplify the square root of 80

4 times the square root of 5

300

Simplify the square root of 100x³y

10x times the square root of xy

400

Simplify the CUBED root of 64x²y⁶

4y² times the cubed root of x²

500

Simplify the square root of 200x³y⁵z⁸

10xy²z⁴ times the square root of 2xy

Exponent Rules

100

Simplify (3x)^-2

1/(3x)²

200

(5x³)²

25x⁶

300

(6xy)²

36x²y²

400

50x²y⁷/2x⁶y⁶

25y/x⁴

500

(-4y²)³/-12y²

-16y⁴/3

Rational Exponents

100

Change the following to radical form

(3x)^1/2

Square root of 3x

200

Change the following to exponential form

The 3rd root of (6x)²

(6x)^2/3

300

Change the following to radical form

(3x²+4)^-5/2

1/the square root of (3x²+4)⁵

400

Change the following to radical form

1/(7x+3)^-5/4

The 4th root of (7x+3)⁵

500

Simplify (15⁵)^1/4

15 times the 4th root of 15

Rational Vs Irrational

100

Is 0 rational or irrational

Rational

200

Is the following rational or irrational and why?

4.1236479120...

Irrational because the decimal does not end/terminate

300

Find the product and determine if it is rational or irrational

The square root of 7 times 6

Irrational and 6 times the square root of 7

400

Find the sum and determine if it is rational or irrational

The square root of 37 plus the square root of 37

The sum is 2 square root 37 so it is irrational

500

Find the sum and determine if it is rational or irrational.

4 + 5 times the square root of 2.

Irrational and the sum is 4 + 5 times the square root of 2.