1.
–9p – 17 = 10 (1 point)
–3
16
18
–16
2.
w over four – 4 = 3 (1 point)
–4
28
3
11
3.
d over three+ 10 = 7 (1 point)
51
20
0
–9
4.
–2(m – 30) = –6m (1 point)
–15
–13
–8
8
5.
2.9n + 1.7 = 3.5 + 2.3n (1 point)
3
–3
.3
1
Simplify the expression.
6.
–6 – 7(c + 10) (1 point)
64 – 7c
–76 – 7c
4 – 13c
–16 – 13c
7.
2x + 3(x – 2) – 3(x – 6) (1 point)
2x + 12
2x – 8
8x – 24
2x – 24
Solve the inequality.
8.
c + 6 < –20 (1 point)
c < –26
c < –14
c < 26
c < 14
9.
d over thirteen ≥ –3 (1 point)
d ≥ –16
d ≥ 39
d ≥ 10
d ≥ –39
10.
–3p > –48 (1 point)
p < 16
p > –51
p < –16
p > 16
My answers:
1. -3
2. 28
3. -9
4. -15
5. 3
6. ????
7. ?????
8. c < –26
9. d ≥ –39
10. p < –16
Alex is not, made me get a 55.6%
The first five are right.
6.
–6 – 7(c + 10)
-6 - 7c - 70
-7c - 76
You try number 7.
I'm not sure about 8 - 10 as I don't remember inequalities from over 60 years ago.
Did you get them all right? what was #7?
can someone give answers
Let's go through the questions one by one and explain how to get the answer:
1. To solve the equation –9p – 17 = 10, we need to isolate the variable p.
- First, we can start by adding 17 to both sides of the equation: –9p = 27.
- Next, divide both sides by -9 to solve for p: p = -3.
- The answer is -3.
2. To solve the equation w/4 – 4 = 3, we need to isolate the variable w.
- First, we can start by adding 4 to both sides of the equation: w/4 = 7.
- Next, multiply both sides by 4 to solve for w: w = 28.
- The answer is 28.
3. To solve the equation d/3 + 10 = 7, we need to isolate the variable d.
- First, subtract 10 from both sides of the equation: d/3 = -3.
- Next, multiply both sides by 3 to solve for d: d = -9.
- The answer is -9.
4. To solve the equation –2(m – 30) = –6m, we need to isolate the variable m.
- First, distribute -2 to both terms inside the parentheses: -2m + 60 = -6m.
- Next, subtract -2m from both sides: 60 = -4m.
- Then, divide both sides by -4 to solve for m: m = -15.
- The answer is -15.
5. To solve the equation 2.9n + 1.7 = 3.5 + 2.3n, we need to isolate the variable n.
- First, subtract 2.3n from both sides of the equation: 2.9n - 2.3n + 1.7 = 3.5.
- Combining like terms, we have 0.6n + 1.7 = 3.5.
- Next, subtract 1.7 from both sides: 0.6n = 1.8.
- Finally, divide both sides by 0.6 to solve for n: n = 3.
- The answer is 3.
6. The expression –6 – 7(c + 10) can be simplified by applying the distributive property.
- First, distribute -7 to both terms inside the parentheses: -6 - 7c - 70.
- Combining like terms, we have -76 - 7c.
- The simplified expression is -76 - 7c (option 2).
7. The expression 2x + 3(x – 2) – 3(x – 6) can be simplified step by step.
- First, apply the distributive property inside each set of parentheses: 2x + 3x - 6 - 3x + 18.
- Combining like terms, we have 2x + 3x - 3x - 6 + 18.
- Simplifying further, we end up with 2x + 12.
- The simplified expression is 2x + 12 (option 1).
Now let's move on to solving the inequalities:
8. The inequality c + 6 < -20 can be solved as follows:
- First, subtract 6 from both sides: c < -26.
- The solution is c < -26 (option 1).
9. The inequality d/13 ≥ -3 can be solved as follows:
- First, multiply both sides by 13 to eliminate the fraction: d ≥ -39.
- The solution is d ≥ -39 (option 4).
10. The inequality -3p > -48 can be solved as follows:
- First, divide both sides by -3. Remember, when we divide or multiply an inequality by a negative number, we must change the direction of the inequality sign: p < 16.
- The solution is p < 16 (option 1).
The rest of your answers are correct, except for question 6 and 7. The correct answers are:
6. -6 - 7(c + 10) simplifies to -76 - 7c (option 2).
7. 2x + 3(x - 2) - 3(x - 6) simplifies to 2x + 12 (option 1).
I hope this helps! Let me know if you have any more questions.
1a
2b
3c
4d
5a
6c
7b
8a
9a
10b
11d
12c
13b
14c
15d
16b
17c
18c