190k views
20 votes
Simplify. Please show your work.

3a+10b+4a-4b



Solve the equations below for x. Please show your math work step by step.
Part (a): x+(-3)=7 Part (b): 2x-2=-12





Solve the equation for m. Please show your math work step by step.
2(m + 6) = 24




Mikey solved the inequality problem below incorrectly. Explain her error and redo the problem showing the correct answer.
Original problem: -4x+8<32
Mikey’s math work: -4x+8-8<32-8
-4x÷-4<24÷-4
x<-6

User Knl
by
4.9k points

2 Answers

6 votes

Answer:

1. 7a+6b because 3a+4a=7a and 10b-4b=6b

2. x=10 because you add 3 to the other side to cancel it out and 7+3=10

3. x=6 because

2*m=2m and 2*6=12

24-12=12 and 12/2=6

Explanation:

User Milacay
by
4.9k points
10 votes

Answer:

Question 1: add 3a + 4a becuase they have the same variables. you should get 7a. Then subtract 10b and 4b because they have the same variables,You should get 6b. The answer is 7a+6b because you can't do anything with those numbers because of their variables and how they are not the same.

Question 2: The answer is x=10. to get the answer move all terms not containing x to the right side of the equation and add as normal.

Question 3: The answer is -5. Steps: move the equation around so there is a 2 on both sides of the equation, should look like this: 2x= -12 +2. Then add -12 +2 = -10. Then divide each term by 2 and simplify, should look like this: 2x/2 = -10/2. Then cancel the comments factor which is 2 should look like this: x = -10/2. After divide x by 1. Then divide -10 by 2 which equals -5.

Question 4: The answer is m=6. First multiply 6x2=12 then multiply that by 2 which should get u 24 then divide 24 by 4 =6

Question 5: sry I dont understand :(

User Alireza Esfahani
by
5.3k points