MATH 9 - WHAT I SHOULD KNOW!!

THE BASICS OPERATIONS

100

INTEGERS:

(-2537)+(-75)-(-293)

-2537-75+293=-2319

200

DECIMALS

-2.3+(0.8)(2.6)

-2.30 + 2.08 = -0.22

300

FRACTIONS

(-3)-:frac(-4)(5)+frac(-5)(12)xx1frac(1)(2)

frac(25)(8)

400

EXPONENT LAWS

(-2)^3+(3)(-2)^2-sqrt121

(-8)+12-11=-7

500

The lawn in front of Pythagoras High School is the shape of a rectangle that is 9 m wide by 11 m long.  How many meters shorter is your walk if you walk diagonally across the grass rather than walking on the sidewalk on the edge of the grass.  

11^2+9^2=x^2 

121+81=sqrt202=14.2

11+9=20-14.2=5.8 m

POLYNOMIALS

100

Find the perimeter of a rectangle with a length of 6x+5 and a width of 2x-3

16x+4

200

The perimeter of rectangle is 14x+12 where the width is 2x+3 - what is the length?

5x+3

300

Find the area of a rectangle with a width of 3x and a length of 2x²+8x-5

6x^3+24x^2-15x

400

What is the area of a square with side length of 2x-3?

(2x-3)(2x-3)=4x^2-12x+9

500

(x+3)(4x-1)-3(2x-1)(3x+2)

-14x^2+8x+3

EQUATIONS AND INEQUALITIES

100

6+x/5=9

x=15

200

Solve and Graph:  

5+m/2<=13

300

Solve for x

x+3-4x>2x+23

m<-4 - flip the sign

400

Solve for x

-2(x-5)-(2x-4)=7(-3+3x)

x=7/5

500

Solve for x

frac(2x+4)(5)+frac(6-7x)(15)=2

x=-12

VARIETY PACK 1

100

You buy FOUR tires for $75 each.  
What is the total cost if you pay
GST of 5% and Tire Tax of 1%?

$75.00 x 4= $300.00
5% tax is 15.00 and 1% is $3.00
300 + 15 + 3 = $318.00

200

a=2, b=-4 and c=-1 

(a+b)^2(a-c)^2

(2-4)^2(2+1)^2=(-2)^2(3)^2=4(9)=36

300

 frac(1)(3)(frac(2)(5)-frac(1)(2))+3/10

4/15

400

Howard runs one hour a day the first 30 minutes he runs at 10 minutes per mile then the last 30 minutes he runs 7.5 minutes per mile how far does Howard run every day?

Howard runs 7 miles per day

500

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?

25² - 15² =  sqrt(400) = 20  

A = lw   A=15 x 20 = 300 square inches

VARIETY PACK 2

100

What is 220% of $500

100% is 500 so 10% is 50
Therefore 220% is 500+500+50+50 = $1100

200

The population of ten bacteria doubles every hour. How many bacteria will there be after THREE HOURS.
"t" represents the number of hours.  
This growth can be represented by the formula 

N=10(2)^t

N=10(8) = 80 bacteria

300

Write 0.0037 as a fraction and a percent

37/10000 and 0.37%

400

What is the surface area of Cube with side lengths of 5 cm?  

6xx25=1650cm^2

500

Simplify the following ratio:

1m:175cm

100:175 = 4:7