Unit 1 Review

Radicals

100

simplify the following: 

the square root of 175

5 square root of 7

200

simplify the following: 

6 square root of 124x⁴y³

12x²y square root of 31y

300

Simplify: 

square root of 96 + 3 square root 2 - the square root of 6 - the square root of 8

3 square root of 6 + the square root of 2 

400

12 square root of 3 * 4 square root of 2 

48 square root 6

500

2 square root of 5 * (5 square root of 4 + 7 square root of 3)

20 square root of 5 + 14 square root of 15

Rational vs Irrational

100

Rational numbers include ________

Irrational numbers include _________

rational: fractions, terminating decimals, repeating decimals, whole number, and the square root of perfect squares

irrational: non-terminating decimals, non-repeating decimals, the square root of non-perfect squares, and pi

200

Explain why the following is rational or irrational:

5/8

rational, it's a fraction

300

Explain why the following is rational or irrational:

12 pi

irrational, it has pi

400

Explain why the following is rational or irrational:

18. 09523376238544.......

Irrational, the decimal is non-terminating and it doesn't repeat(has no pattern)

500

Categorize the following numbers as rational or irrational: 

5 pi, 0.8674, 88.5555....., square root of 54, square root of 100, 2/3, 9.234562317658...., and  pi/6

rational: 0.8674, 88.5555....., square root of 100, 2/3

irrational: 5 pi, square root of 54, 9.234562317658...., and  pi/6

Polynomials

100

What order do we write our final answers in for polynomial expressions? 

descending order (look at the powers of the x's)

200

(9x⁵ - 12x⁴ + 5x² + 2) + (8x⁵ - 24x⁴ - 6x² + 7)

17x⁵ - 36x⁴ - x² + 9

300

Find the product of the following polynomial expression: 

7n(5 - 6n)

-42n² + 35n

400

(4x⁵ + 7x³ - 12x² + 9) - (3x⁵ - 2x⁴ + 15x² - 22)

x⁵ + 2x⁴ + 7x³ - 27x² + 31

500

Find the area and perimeter of a rectangle whose length is (4x - 2) in and whose width is (6x + 9) in.

Area = 24x² + 24x - 18 in²

Perimeter = 20x + 14 in

Unit Conversions

100

How many feet are in one mile?

5280 ft = 1 mi

200

Convert 96 inches to feet 

96 in = 8 ft 

300

Which unit of measurement is the best choice for measuring the depth of the ocean?

meters or feet 

400

Convert 6024 cm to mi.

0.0374 mi

500

what are the conversion steps to convert your age in years into your age in seconds?

years-> weeks -> days -> hours -> minutes -> seconds 

Random

100

Which soda was invented by an Atlanta pharmacist? 

Coca-Cola

200

How many presidents has the USA had?

46 

300

What's the capital of Montana?

Helena 

400

Which country invented ice cream?

China 

500

How many points did Michael Jordan score in his first NBA game?

16 points