Calculate the volume of a cylinder with height 15 cm and radius 4 cm. Round your answer to the nearest cubic unit.
754 cm^3
Find an integer that fills in the question mark so that the trinomial is a perfect square.
49a^2+ ?ab + 81b^2
126
From the list below, which numbers are irrational?
sqrt 48, 1.34, root3(-27), 1/3, sqrt12, 2.3333333...
sqrt48,sqrt12
What is the range of the graph below in BOTH interval and set notation? When saying your answer, state which notation is interval and which one is set.
set:
y>=-3
interval:
[-3, infty)
Create a linear system to model this situation. DO NOT SOLVE THE SYSTEM. JUST DEFINE THE VARIABLES AND CREATE THE SYSTEM.
Two jackets and two sweaters cost $228.00. A jacket cost $44 more than a sweater.
let j=cost of jacket
let s=cost of sweater
2j+2s=228
j=s+44 OR j-s=44
Jenny is 5 foot 7 inches tall. Adam is 173 cm tall. Who is taller and by how much? Round your answer to the nearest cm.
Adam is taller by about 3 cm.
Factor completely
5a^2-7a-6
(5a+3)(a-2)
***DAILY DOUBLE***
Write as an entire radical:
5 root3(2)
root3(250)
Sketch a graph with the following properties:
continuous
non-linear
not a function
Answers may vary: sketch any graph that is not a straight line where the points are connected, and if you run a vertical line through the graph, at least two points will lie on the vertical line.
Evan sold cups of plain lemonade for 75 cents each and cups of strawberry lemonade for $1 each. In total, he sold 40 cups of lemonade. His total sales came up to $33.75. How many cups of each type of lemonade did he sell?
25 plain and 15 strawberry
Convert 683 in. to yards, feet, and inches
18 yd, 2 ft, 11 in
***DAILY DOUBLE***
Factor completely
-6r^3+3r^2+3r
-3r(r-1)(2r+1)
Write as a mixed radical:
root3(128)
4root3(2)
The equation C(p)=15p+500 represents the cost, C dollars, for a banquet where p is the number of people attending. If the cost of the banquet is $1775, how many people attended the banquet?
Eighty-five people attended the banquet.
Determine the x and y intercept of 8x-3y=24. State them as coordinate pairs.
(3,0) and (0,-8)
Find the surface area of the composite object. Round you answer to the nearest hundredth.
345.58 cm^2
A student calculates the distance between 2 carvings on a spirit pole. The angle of elevation of each carving is 15m from the base of the pole. What is the distance between the carvings to the nearest metre?
5 metres
Evaluate. Leave your final answer with positive exponents.
((81b^2c^6)/(16b^3c^4))^(-1/4)
(2b^(1/4))/(3c^(1/2))
If one endpoint is A?(3,6) and the midpoint is M(6,-4), calculate algebraically the other endpoint of this line segment.
(9, -14)
Determine the equation of the line in general form of the graph below:
x+2y+1=0
A map of Alberta has a scale of 1: 1 430 000. The distance on the map between Calgary and Red Deer is 4 1/3 inches. What is this distance to the nearest mile?
98 miles
Expand and simplify
(-3y-2)(y^2+y-8)
-3y^3-5y^2+22y+16
Evaluate.
(2/3)^(-5/2) (3/2)^(5/2)
243/32 or 7 19/32
Describe what is happening at each line segment in the graph with regards to BOTH distance and time.
1st: walk 100m from home in 20 min
2nd: rest for 20 min
3rd: continue walking 50 more metres from home in 10 min
4th: rest for 10 min
last: walk back home 150m in 20 min.
***DAILY DOUBLE***
Find the equation of the line in (slope-intercept form) that is perpendicular to the line y-3=-5(x+3) and passes through the point E(-5,-3)
y=1/5x-2