Answer:
Question 1: A. {-500}
Question 2: D. {-11}
Question 3: B. {2}
Question 4: A. {-19}
Question 5: A. {6}
Question 6: D. {23}
Question 7: B. {12}
Question 8: B. {-18}
Question 9: B. {-21}
Question 10: A. {-29}
Step-by-step explanation:
<u>Question 1:</u> = -25
Steps:
= -25
Multiply both sides by 20
= 20 (-12)
Simplify
b = -500
<u>Answer is A. {-500}</u>
<u>Question 2:</u> 35 = 24 - b
Steps:
35 = 24 - b
Add b to both sides
35 + b = 24 - b + b
Simplify
35 + b = 24
Subtract 35 from both sides
35 + b - 35 = 24 - 35
Simplify again
b = -11
<u>Answer is D. {-11}</u>
<u>Question 3:</u> 24 = 22 + x
Steps:
24 = 22 + x
Switch sides
22 + x = 24
Subtract 22 from both sides
22 + x - 22 = 24 - 22
Simplify
x = 2
<u>Answer is B. {2}</u>
<u>Question 4:</u> -17x = 323
Steps:
-17x = 323
Divide both sides by -17
=
Simplify
Apply the fraction rule: For example, = -
=
Divide the numbers
= x
Simplify
Apply the fraction rule
= -
Divide the numbers
= -19
x = -19
<u>Answer is A. {-19}</u>
<u>Question 5:</u> 4 = 10 - x
Solve:
4 = 10 - x
Add x to both sides
4 + x = 10 - x + x
Simplify
4 + x = 10
Subtract 4 from both sides
4 + x - 4 = 10 - 4
Simplify
x = 6
<u>Answer is A. {6}</u>
<u>Question 6:</u> x - (-16) = 7
Steps:
x - (-16) = 7
x - 16 = 7
Add 16 to both sides
x - 16 + 16 = 7 + 16
Simplify
x = 23
<u>Answer is D. {23}</u>
<u>Question 7:</u> -30p = -360
Steps:
-30p = -360
Divide by both sides
=
Simplify
Apply the fraction rule
=
Divide the numbers
= p
Simplify again
=
Divide the numbers
= 12
p = 12
<u>Answer is B. {12}</u>
<u>Question 8:</u> 14x = -252
Steps:
14x = -252
Divide both sides by 14
=
Simplify
= x
Simplify again
Apply the fraction rule
= -
Divide the numbers
- = -18
x = -18
<u>Answer is B. {-18}</u>
<u>Question 9:</u> -39 = x - 18
Solve:
-39 = x - 18
Switch sides
x - 18 = -39
Add 18 to both sides
x - 18 + 18 = -39 + 18
Simplify
x = -21
<u>Answer is B. {-21}</u>
<u>Question 10:</u> m - (-27) = -2
Steps:
m - (-27) = -2
Apply rule: For example, - (-a) = a
m + 27 = -2
Subtract 27 from both sides
m + 27 - 27 = -2 - 27
Simplify
m = -29
<u>Answer is A. {-29}</u>
I hope this helps you understand how to solve them next time :)