THE BASICS OPERATIONS
POLYNOMIALS
EQUATIONS AND INEQUALITIES
VARIETY PACK 1
VARIETY PACK 2
100
INTEGERS:
(-2537)+(-75)-(-293)
-2537-75+293=-2319
100
Find the perimeter of a rectangle with a length of 6x+5 and a width of 2x-3
16x+4
100
6+x/5=9
x=15
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
100
What is 220% of $500
100% is 500 so 10% is 50
Therefore 220% is 500+500+50+50 = $1100
200
DECIMALS
-2.3+(0.8)(2.6)
-2.30 + 2.08 = -0.22
200
The perimeter of rectangle is 14x+12 where the width is 2x+3 - what is the length?
5x+3
200
Solve and Graph:
5+m/2<=13
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
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
FRACTIONS
(-3)-:frac(-4)(5)+frac(-5)(12)xx1frac(1)(2)
frac(25)(8)
300
Find the area of a rectangle with a width of 3x and a length of 2x2+8x-5
6x^3+24x^2-15x
300
Solve for x
x+3-4x>2x+23
m<-4 - flip the sign
300
frac(1)(3)(frac(2)(5)-frac(1)(2))+3/10
4/15
300
Write 0.0037 as a fraction and a percent
37/10000 and 0.37%
400
EXPONENT LAWS
(-2)^3+(3)(-2)^2-sqrt121
(-8)+12-11=-7
400
What is the area of a square with side length of 2x-3?
(2x-3)(2x-3)=4x^2-12x+9
400
Solve for x
-2(x-5)-(2x-4)=7(-3+3x)
x=7/5
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
400
What is the surface area of Cube with side lengths of 5 cm?
6xx25=1650cm^2
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
500
(x+3)(4x-1)-3(2x-1)(3x+2)
-14x^2+8x+3
500
Solve for x
frac(2x+4)(5)+frac(6-7x)(15)=2
x=-12
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
500
Simplify the following ratio:
1m:175cm
100:175 = 4:7