Unit 2 Practice

Definitions

100

What is a term

A number or variable or the product of numbers and variables

e.g. 

-3x, 4x²

200

What is a polynomial

e.g. 

7x²+23

300

What is a constant

a term that contains no variables, its value doesn't change

e.g.

3, 100, 27

400

What is the different between an expression and an equation

An expression is a mathematical phrase made up of numbers and variables connected by operators, an equation is a mathematical statement that say two expressions are equal

500

What does FOIL stand for 

First, Outer, Inner, Last

(grade 10 term)

Exponent Laws

100

a² x a³

a⁵

200

z⁶ ÷ z²

z⁴

300

x^-5

1 / x⁵

400

(3+xy²)³

27+x³+y⁶

500

((n+x³)⁴)^-3

1/(n+x³)¹²

Distributive Property/ Expanding

100

2(a+b)

2a+2b

200

2a²(5a+4)

10a³+8a²

300

0.3(c+2)+0.5c(2c-5)

c²-2.2c+0.6

400

4m(3m-2(m-5))

4m²+40m

500

4c²(1/2c² - 4c + 6) - (4c -2)(2c-6)

2c⁴ - 16c³ - 8c²  +12

Application

100

What is the area of a circle if the radius is 3x

π9x²

200

what is the perimeter of a triangle given that it has two equal sides (2x +3) and one base (3x²)

3x²+4x+6

300

what is the area of a rectangle if one side is (10x²+3x) and the other side is (2x)

20x³+6x²

400

there is a room in a house, it needs to be carpeted, however there is an island in the middle. what will be the area of the carpeted space if the room is (2x+5) by (2x) if the islands dimensions are (x) and (x+3)

3x²+7x

500

a circular garden needs to be seeded, a gardener has a well in the middle, what is the area of the space that needs to be shaded if the radius of the garden is (9x) and the radius of the well is (3)

81πx²-9π

Scientific Notation

100

Convert 0.0045 into scientific notation:

4.5×10^-3

200

what is 6.7×10^-4 in standard form

0.00067

300

What is 2.0×10²+3.0×10²

5.0×10²

400

(4.0×10¹)×(2.0×10²)

8.0 x 10³

500

(5.0×10⁴+3.0×10⁴)×(2.0×10²)

1.6 x 10⁷