Graphing
what is the point of intersection between the two equations?
y=5x+1
y=2x+4
(1,6)
Solve for e
t=e-g
t=e-g
add g to t which will give you the answer of t+g=e
so e=t+g
Cheesecakes at the Cheesecake Factory cost $4.50 each. If you have no more than $18 to spend, how many cheesecakes can you buy?
4.5x ≤ 18
divide 4.50 by itself and by 18 you'll get 4
so x is ≤ to 4.
What does "x" equal in this equation?
3x-6=12
3x-6=12
add 6 to the 12 to get 18
then divide 3x by 3 and 18 by 3 which gives you, x=6
Solve for g
P=4q+4g
P=4q+4g
subtract 4q by itself and by P to get P-4q=4g
then divide 4g by 4 and P-4q to get P-4q/4=g
so g= P-4q/4
what is the point of intersection between the two equations?
y=-3x+2
y=x-6
(2,-4)
Solve for w
A=l/w
A=l/w
multiply l by l/w and also by A to get w by itself to get Al=w
so w=Al
Cameron wants to take baking lessons at a bakery over the summer. It costs a fee of $50 just to use the bakery's supplies and $20 per lesson. if Cameron has $210 to spend, how many lessons Cameron can take within her budget?
20x+50 ≤ 210
first subtract 50 from itself and from 210 to get 20x≤160. then divide 20x by itself and by 160 to get x≤8.
What does "c" equal in this equation?
10c+15=25
10c+15=25
subtract 15 by 25 which will equal 10
divide 10c by 10 and 10 by 10 which will give you, c=1
Solve for o
16o-8=-18+14o
16o-8=-18+14o
add -8 by itself and to -18 to get 16o=-10+14o
then subtract 14o by itself and by 16o to get 2o=-10. divide 2o by 2 and -10 by 2 to get o=-5
what is the point of intersection between the two equations?
y=6x+6
y=-x-8
(-2,-6)
Solve for c
q=ca
q=ca
divide a by ca and by q to get c by itself and get q/a=c
so c=q/a
Ken and Cam are saving for their annual vacation. They are going to the Bahamas and their plane tickets costs $2418 total. They have saved $1804 so far. If they are able to save $55 per week, how many weeks of saving will it take before they have saved at least $2418?
55c+1804 ≥ 2418
first subtract 1804 from itself and from 2418 to get 614 so then it'll be 55c ≥ 614. then divide 614 by 55 to get about 11. so it'll be at least 11.2 weeks.
What does "f" equal in this equation?
15f+60=30
15f+60=30
subtract 60 by itself and by 30 to get -30
then divide 15f by 15 and 15 by -30 to get f=-2
Solve for k
3(k+1)=5+k
3(k+1)=5+k
3k+3=5+k, then subtract 3 from itself and by 5 to get 3k=2+k
after subtract k from itself and by 3k to get 2k. then divide 2k by itself and by 2 to get k=1
what is the point of intersection between the two equations?
y=-1/2x+3
2x+y=9
first change 2x+y=9 into slope intercept form
so that'll be y=-2x+9
so the answer will be (4,1)
Solve for b
t=bde
t=bde
divide de by bde and by t to get d by itself which would make t/de=b
so b=t/de
For dinner, Karen has a sandwich and crackers. The sandwich has 500 calories and each cracker has 10 calories. How many crackers can Judy eat if she wants the total calories to be less than 600?
10c+500 < 600
first subtract 500 from itself and from 600 to get 100.
the equation then will look like 10c<100.
so you'll divide 10c from itself and from 100 to get c<10
What does "e" equal in this equation?
30e-45=100
30e-45=100
add 45 by itself and by 100 to get 30e =145
then divide 30e by 30 and 145 by 30 to get e=29/6
Solve for s
2(4-s)-3(s+3)=-11
2(4-s)-3(s+3)=-11
8-2s-3s-9=-11
combine the liketerms of 8 and -9 to get -1 and -2s-3s to get -5s
then you'll have -5s-1=-11. add 1 by itself and by -11 to get -5s=-10.
divide -5s by -5 and by -10 to get s=2
what is the point of intersection between the two equations?
y=3x+2
y=-x-6
(-2,-4)
Solve for a
R=πa2
R=πa2
divide pi by πa2 and by R to get a2 by itself which will give you R/π=a2
then square root R/pi and a2 to get a=√R/π
a ride in a taxi costs $2 per block, and you want to give a $5 tip. If you have at most $21 to spend, how many blocks can you ride?
2b+5 ≥ 21
subtract 5 from itself and from 21 to get 2b ≥ 16.
then divide 2b by itself and by 16 to get b ≥ 8.
What does "q" equal in this equation?
5q-150=250
5q-150=250
add 150 by itself and by 250 to get 5q=400
then divide 5q by 5 and 400 by 5 to get q=80
Solve for m
y=mx+b
y=mx+b
subtract b from itself and by y to get y-b
then divide mx by x and also y-b by x to get m=y-b/x