Volume
Find the volume of a cylinder? Show your work. The radius of the cylinder is 1 and the height is 5 Formula is v= pir2h
V= pir2h V=pi125 V=pi times 5 V=15.70 V=15.7m3
Is this table linear or not linear? explain. x| -7|-3| 1 | 7 | y| 4 | 3 | 2 | 1 |
This table is not linear because their are two different constant in the table.
Is this function. Why or why not.
3 -> 12 2 -> 13 1 -> 14 0 -> 15
This is function because the domain numbers are not repeating To the range numbers
What is m? and how do you solve for m?
M is the slope or it's also called the rate of change.
You solve m by using an equation
Equation m= y2-y1 divided by x2-x1
Find solution? Show your work.
3x-2=25-6x
3x-2=25-6x +6x +6x 9x-2 = 25 +2 +2 9x = 27 9 9 x = 3
Find the volume of a cone? Show your work. Formula is V=1/3pir2h The radius is 12 and the height is 15.
V=1/3pir2h V=1/3pi12215 V=1/3 times 6,785.84 V=2,261.9466 V=2,261.947ft3
Is this graph linear or not linear? Explain. The graph x and y is x| 1 | 2 | 3 | 4 | 5 | 6 | 7 | y| 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 |
This graph shows linear because in the graph the line is straight and that represent that is linear.
Is this function or not? Why or why not. | input | 1 | 2 | 0 | 1 | 2 |
|output | 4 | 5 | 6 | 7 | 8 |
This table is not function because in the input the numbers repeats two times.
Find m?
|X|1|0|1|-3|3|
|Y|0|-1|0|-4|2|
m=-1-0 divide by 0-1 = -1 divide by 1 = 1
This is linear but not proportional.
Find solution of equation? Show your work.
4a-3=2a+7
4a-3=2a+7 -2a -2a 2a-3=7 +3 +3 2a = 10 2 2 a = 5
Find the volume of the sphere?show your work. Formula is V=4/3pir3. The sphere has a diameter of 25cm
V=4/3pir3 V=4/3pi133 V=4/3times3.14times2197 V=9202.77cm3
Is this linear or not linear? Explain.
X| 1| 2 | 3 | 4 |
y| 2 | 5 | 8 | 11 |
This table is linear because the constant is the same and they add the same numbers and not different.
Is this a function or not function? Explain.
{(0,0), (2,4), (3,6), (5,5), (7,6)}
This shows that it is function because the domain numbers are not repeating.
Find m? Is it linear and proportional
|x|-1|0|1|-3|3|
|y|0|2|4|-4|8|
Y=mx+b= y= 2x+2
m=2-0 divide by 0-1= 2 divide by 1 = 2
This is linear but not proportional.
Find solution? Show all you work.
8(x-2)+3(2x+3)=3x-6
8(x-2)+3(2x+3)=3(x-6) 8x-16+6x+9=3x-18 14x-7=3x-18 +7 +7 14x = 3x-11 -3x -3x 11x = 11 x = -1
Find the volume of a cylinder? Show your work. Formula is V=pir2h The radius is 2 and the height is 3. Leave in terms of pi
V=pir2h V=Pi223 V=pi times 12 V=12pim3
Is this linear or not linear and proportional or non-proportional?
y= 5x2+ 14
This is not linear and it's non-proportional because if it was linear it won't have an exponent.
Is this function or not function?
Input| 0 | 1 | 2 | 3 |
Output| 4 | 1 | 0 | 4 |
This table is function because the numbers are not repeating in the input.
Find m? Is it linear? Is it proportional?
|books x| 1 | 2 | 3 |4 | 5 |
|cost $| 7.50 | 15.00 | 22.50 | 30.00 | 37.50 |
M=y2-y1 divide by x2x1 = 15.00-7.50 divide by 2-1= 7.50 divide by 1
Y=6.95x+ 1.50
Y =6.96 times 6+1.50 = 43.20
If you graph it it's not proportional and it is linear.
Find solution of equation? Show your work.
x+4+x+2+x+5=2(x+1)+2(x+3)
x+4+x+2+x+5=2(x+1)+2(x+3) 3x+11=2x+2+2x+6 3x+11=4x+8 -11 -11 3x=4x-3 -4x -4x -1x = -3 -1 -1 x = 3
Find the volume of a sphere? Show your work. Formula is V=4/3pir3 the radius is 22.5 Leave in terms of pi
V=4/3pir3 V=4/3pi22.53 V=4/3 times 22.53 V=15,187.5picm3
Is this linear? Is this also proportional to non- proportional? Explain.
50+5x
This equation is linear because it doesn't have an exponent. And it's non-proportional
Is this function. Why or why not.
{(0,8), (1,2), (3,7), (5,9), (3,6)}
This is not function because the domain is repeating the numbers.
Find m? Is this linear and proportional.
Number of minutes|0|10|20|30|40|50|60|
Total session cost ( in dollars )|0.10|0.40|0.70|1.00|1.30|1.60|1.90|
m=0.70-0.40 divide by 20-10= 0.30 divide by 10 = 0.03
Linear because it is straight, but not proportional
Find solution? Show your work.
-3(2x-5)+7x-14+x-4+2(10+2x)=18-11x+4(2-x+4x)-0.5x+1/2x-19
-3(2x-5)+7x-14+x-4+2(10+2x)=18-11x+4(2-x+4x)-0.5x+1/2x-19 -6x+15+7x-14+1x-4+20+4x=18-11x+8-4x+16x-0.5x+1/2x-19 6x+17=x+7 -x -x 5x+17= 17 -17 -17 5x = -10 5 5 x = -2