1. –9x – 5 = –95
a) 17
b) 11 <----------------------------
c) 10
d) –10
2. x/4 – 5 = –8
a) –27
b) –12 <---------------------------
c) –7
d) 12
3. x/5 + 6 = 10
a) 44
b) 30 <-----------------------------
c) 20
d) –20
4. –2(m – 30) = –6m
a) –15 <--------------------------
b) –13
c) –8
d) 8
5. 3.75x + 3.7 = 1.7 + 1.75x
a) 10 <----------------------
b) –1
c) 1
d) .1
6. –4 – 5(x + 8)
a) –5x – 44 <----------------------
b) –5x + 36
c) –x – 8
d) –20x + 8
7. 3x + 4(x – 6) – 3(x – 7)
a) 4x – 45
b) 4x – 3
c) 10x – 3
d) 10x + 45 <----------------------
8. p + 4 < –24
a) p < –20
b) p < 28 <---------------------
c) p < –28
d) p < 20
9. r/15 ≥ –3
a) r ≥ –45 <------------------------
b) r ≥ –15
c) r ≥ 12
d) r ≥ 45
10. –3p > –48
a) p < 16
b) p > –51
c) p < –16 <------------------------
d) p > 16
Oh all right, number 1
YOU SAY B ?
1. –9x – 5 = –95
a) 17
b) 11 <---------------
c) 10
d) –10
===let me see ===========
- 9 x - 5 = - 95
add 5 to both sides
- 9 x = - 90
multiply both sides by -1
9 x = 90
divide both sides by 9
x = 10
which is not 11
Now #10
10. –3p > –48
a) p < 16
b) p > –51
c) p < –16 <------------
d) p > 16
======================
–3p > –48 divide both sides by -3. When you multiply or divide by a negative, REVERSE the arrow
p < 16
WHICH IS A
I do not have time to look at all of them, but please pay more attention to what you are doing.
To solve these equations, you need to isolate the variable on one side of the equation. Here's how you can solve each equation:
1. –9x – 5 = –95
Add 5 to both sides: –9x = –90
Divide by –9: x = 10
The answer is c) 10.
2. x/4 – 5 = –8
Add 5 to both sides: x/4 = –3
Multiply by 4: x = –12
The answer is d) –12.
3. x/5 + 6 = 10
Subtract 6 from both sides: x/5 = 4
Multiply by 5: x = 20
The answer is b) 20.
4. –2(m – 30) = –6m
Distribute the –2: –2m + 60 = –6m
Subtract 60 from both sides: –2m = –6m – 60
Add 6m to both sides: 4m = -60
Divide by 4: m = -15
The answer is a) -15.
5. 3.75x + 3.7 = 1.7 + 1.75x
Subtract 1.75x from both sides: 2x + 3.7 = 1.7
Subtract 3.7 from both sides: 2x = -2
Divide by 2: x = -1
The answer is b) -1.
6. –4 – 5(x + 8)
Use the distributive property: –4 – 5x – 40
Combine like terms: -5x - 44
The answer is a) -5x - 44.
7. 3x + 4(x – 6) – 3(x – 7)
Use the distributive property: 3x + 4x - 24 - 3x + 21
Combine like terms: 4x - 3x - 24 + 21
Combine like terms again: x - 3
The answer is d) 10x + 45.
8. p + 4 < –24
Subtract 4 from both sides: p < -28
The answer is c) p < -28.
9. r/15 ≥ –3
Multiply both sides by 15 (remembering to reverse the inequality when multiplying or dividing by a negative number): r ≥ -45
The answer is a) r ≥ -45.
10. –3p > –48
Divide by -3 (remembering to reverse the inequality when multiplying or dividing by a negative number): p < 16
The answer is a) p < 16.