Algebra1 Help?

Question

Hello, I am trying to understand how to solve these problems. For the first one I don't know what to do and al of my answers come out wrong. I am not good with fractions. For the Second one, I just don't know what to do. So please could you help me by showing what you did so I could get a better understanding of what to do. Thanks.

1)5v over 6 + 7 over 6 = 1 over 12

2) 2(p-7.5)-4=32

Answer 1

[08]
5v/6 +7/6 =1/12
{If you are not good in fractions,your first step would be to multiply both sides by 12 to eliminate the fractions]
Multiplying both sides by 12
12*5v/6 +12*7/6=1*12/12
10v+14=1
10v+14-14=1-14[subtracting 14 from both sides
10v= -13
10v/10=-13/10 [dividing both sides by 10]
v= -1 3/10
2)2(p-7.5)-4=32
2p-15-4=32
2p=32+15+4=51
p=51/2 =25.5

Answer 2

(a million) x+(x+a million)+(x+2)=9 3x + 3 = 9 3x = 6 x = 2 (2) (y-2)+(y-a million)+y= -3 y - 2 + y - a million + y = -3 3y - 3 = -3 3y = 0 y = 0 (3) 19n -11-12n - 5 = 5 7n - sixteen = 5 7n = sixteen + 5 7n = 21 n = 21/7 = 3 (4) 7h -17- 6 + 4h =17 11h -23 = 17 11h = 23 + 17 11h = 40 h = 40/11 (5) -2t+3(2+t) = -10 -2t + 6 + 3t = -10 t + 6 = -10 t = -sixteen (6) 2(x+3)-6x-4 = 8 2x + 6 -6x - 4 = 8 -4x + 2 = 8 -4x = 6 x = -6/4 = -3/2 (7) 4z+2(z+7)= -14 4z + 2z + 14 = -14 6z = -28 z = -28/6 = -14/3 (8) -5(a million+w)+4w= 8 -5 - 5w + 4w = 8 -5 - w = 8 -13 = w (9) -3(2-y)+2y= 7 -6 + 3y + 2y = 7 -6 + 5y = 7 5y = 13 y = 13/5 (10) 5a-(a million-a)+4 = 9 5a - a million + a + 4 = 9 6a + 3 = 9 6a = 6 a = a million (11) -7 - (-3 - 2g) - 10 =0 -7 + 3 + 2g - 10 = 0 -14 + 2g = 0 2g = 14 g = 7 (12) a million.5k - (ok +2.4) = 17.4 Multiply via 10 on the two aspects 15k - 10(ok + 2.4) = 174 15k - 10k - 24 = 174 5k = 174 + 24 5k = 198 ok = 198/5 or 39.60 (13) 3s - (0.5s+7.2) = 32.8 Multiply via 10 on the two aspects 30s - 10(0.5s + 7.2) = 328 30s - 5s - seventy two = 328 25s = 328 + seventy two 25s = 4 hundred s = 4 hundred/25 = sixteen

Answer 3

ok so for the first one since the denominaters in the first part of the equation are the same you can just add them across so that makes it 5v+7 over 6 + 1 over 12 so then you can multiply both sides by 6 and get 5v+7 = 1 over 2(6over 12 reduced to one half) then you can either clear the fraction or subtract 7 on both sides
-subtracting 7 on both sides - so far the problem is 5v + 7= 1 over 2 so you subtract 7 on both sides and put it over the denominator of two by multiplying it by 2 (you can do thisb ecause 14 over 2 equals 7) so then you have 5v = 1over2 + 14 over 2 then you add the fractions to get 16 over 2 which is 8 so the equation is 5v = 8 then divide by 5 on both sides and you get v = 8/5
2) first you add the four on both sides to get 2(p-7.5)=36 then distribute the 2 to get 2p-15=36 then add the 15 to get 2p = 51 and get p = 51/2

Answer 4

First, you make everyting over 12.
Next, you subtract both sides of the equation by 14/12
Third, you multiply each side by 12
Next, you divide each side by 10.
Once you have the isolated variable, you should get v = -1.3

1) 5v/6 + 7/6 = 1/12
10v/12 + 14/12 = 1/12
- 14/12 -14/12
10v/12 = -13/12
X 12/1 X 12/1
10v = -13
/10 /10
v = -1.3 correct!!!

First, add both sides by 4
Next, divide both sides by 2
then, add both sides by 7.5
Once you isolate the variable, you should get p = 25.5

2) 2(p-7.5)-4=32
+4 +4
2(p-7.5) = 36
/2 /2
p-7.5 = 18
+7.5 +7.5
p = 25.5 Correct

Remember that when doing these kind of equations, its best to do reverse order of operations to isolate the variable. Also, notice that I did the oppisite of the operation for the problem.

Try plugging in my answers to check. Good luck with these problems!

Answer 5

1) 5v/6 + 7/6 = 1/12 multiply the whole equation by 12 to remove the denominator

you will get:
10v+14=1 move all constant terms to the right side of the equation

10v=1-14 14 becomes negative because we move it to the other side

10v=-13
divide by 10 to get the value of v
v=-13 over 10 (-13/10)

2) 2(p-7.5)-4=32
distribute

2p-15-4=32 move constant terms to the right
2p=32+15+4
2p=51
divide it by 2 to get the value of p
p= 25.5 or 51 over 2

I hope you understand this well.

Answer 6

1) 5v/6 + 7/6= 1/12 first find a common denominator. Like 12. That makes 10v/12 + 14/12=1/12. Subtract 14/12 from both sides. 10v/12=-13/12 Now multiply by 12. 10v=-13 then divide by 10. v=-13/10

2) Add 4 to both sides then divide both sides by 2 (p-7.5=18). Now add 7.5 to both sides to get p=25.5

Answer 7

1) 5v/6 + 7/6 = 1/12
-7/6 + 5v/6 + 7/6 = 1/12 + -7/6
5v/6 = -13/12
6/5 x 5/6v = -13/12 x 6/5
v= -13/10
v= -1 3/10

2(p-7.5)-4=32
2(p+-7.5)+-4=32
2p + -15 + -4 =32
2p + -19= 32
19 + 2p +-19 = 32 + 19
2p= 51
p= 25.5

(i think, i juss learned this too)

Answer 8

1) first, add 6+7, which equals 13, then multipy 5v over 13 by 1 over 6 which is 5v over 48
so, you should have 5v/48=1/12
cross cancel
so 5v(12)=48(1)
60v=48
v=48/60
=4/5
2) factor 2 into p-7.5
so you get 2p-15-4=32
2p=51
p=51/2

hope these are right :)

Answer 9

5V/6 + 7/6 = 1/12
Your common denominator is 12
So 10V/12 + 14/12 = 1/12
Multiply by 12
10V + 14 = 1
10V = 1 - 14
10V = -13
V = -13/10

2(p - 7.5) - 4 = 32
2p - 15 - 4 = 32
2p - 19 = 32
2p = 51
p = 51/2
p = 25.5
Hope this helps.

Answer 10

Ok.

1. You did not stake it correctly. It could be (5v/[6+7])/6 = 1/12

Or it could be 5v/([6+7]/6) = 1/12



2. first multiply. 2p - 15 -4 = 32

2p = 32 + 4 + 15
2p = 51
p = 25.5