1. x/4 – 5 = –8
a) –27
b) –12 <---------------------------
c) –7
d) 12
2. x/5 + 6 = 10
a) 44
b) 30 <-----------------------------
c) 20
d) –20
3. –2(m – 30) = –6m
a) –15 <--------------------------
b) –13
c) –8
d) 8
4. 3.75x + 3.7 = 1.7 + 1.75x
a) 10 <----------------------
b) –1
c) 1
d) .1
5. –4 – 5(x + 8)
a) –5x – 44 <----------------------
b) –5x + 36
c) –x – 8
d) –20x + 8
6. 3x + 4(x – 6) – 3(x – 7)
a) 4x – 45
b) 4x – 3
c) 10x – 3
d) 10x + 45 <----------------------
7. p + 4 < –24
a) p < –20
b) p < 28 <---------------------
c) p < –28
d) p < 20
8. r/15 ≥ –3
a) r ≥ –45 <------------------------
b) r ≥ –15
c) r ≥ 12
d) r ≥ 45
#1 ok
#2 nope
#3 ok
#4 nope
#5 ok
#6 nope
#7 nope
#8 ok
2. x/5 + 6 = 10
a) 44
b) 30 <-----------
c) 20
d) –20
=======================
x/5 = 4
x = 5 * 4
x = 20
I do not have time to look at all of them but for heavens sake try checking by substituting back in
using x = 20
x/5 + 6 = 10
20/5 + 6 = 10 ?
4 + 6 = 10
YES - I got it right :)
2,3,4,7 , 6 nope
To solve each of these equations, we will go through the steps one by one.
1. x/4 - 5 = -8
To solve this equation, we want to isolate the variable x.
First, we can add 5 to both sides of the equation:
x/4 - 5 + 5 = -8 + 5
x/4 = -3
Next, we can multiply both sides of the equation by 4 to get rid of the fraction:
4(x/4) = 4(-3)
x = -12
Therefore, the answer is b) -12.
2. x/5 + 6 = 10
To solve this equation, we want to isolate the variable x.
First, we can subtract 6 from both sides of the equation:
x/5 + 6 - 6 = 10 - 6
x/5 = 4
Next, we can multiply both sides of the equation by 5 to get rid of the fraction:
5(x/5) = 5(4)
x = 20
Therefore, the answer is c) 20.
3. -2(m - 30) = -6m
To solve this equation, we want to isolate the variable m.
First, we can distribute the -2:
-2m + 60 = -6m
Next, we can add 6m to both sides of the equation:
-2m + 6m + 60 = -6m + 6m
4m + 60 = 0
Next, we can subtract 60 from both sides of the equation:
4m + 60 - 60 = 0 - 60
4m = -60
Finally, we can divide both sides of the equation by 4 to solve for m:
4m/4 = -60/4
m = -15
Therefore, the answer is a) -15.
4. 3.75x + 3.7 = 1.7 + 1.75x
To solve this equation, we want to isolate the variable x.
First, we can subtract 1.75x from both sides of the equation:
3.75x - 1.75x + 3.7 = 1.7 + 1.75x - 1.75x
2x + 3.7 = 1.7
Next, we can subtract 3.7 from both sides of the equation:
2x + 3.7 - 3.7 = 1.7 - 3.7
2x = -2
Finally, we can divide both sides of the equation by 2 to solve for x:
2x/2 = -2/2
x = -1
Therefore, the answer is b) -1.
5. -4 - 5(x + 8)
To simplify this expression, we can distribute the -5:
-4 - 5x - 40
Next, we can combine like terms:
-5x - 44
Therefore, the answer is a) -5x - 44.
6. 3x + 4(x - 6) - 3(x - 7)
To simplify this expression, we can first distribute the 4 and -3:
3x + 4x - 24 - 3x + 21
Next, we can combine like terms:
7x - 3
Therefore, the answer is b) 7x - 3.
7. p + 4 < -24
To solve this inequality, we want to isolate the variable p.
First, we can subtract 4 from both sides of the inequality:
p + 4 - 4 < -24 - 4
p < -28
Therefore, the answer is c) p < -28.
8. r/15 ≥ -3
To solve this inequality, we want to isolate the variable r.
First, we can multiply both sides of the inequality by 15 to get rid of the fraction:
15(r/15) ≥ -3(15)
r ≥ -45
Therefore, the answer is a) r ≥ -45.