Question

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

Multiply each side by negative one over five , add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five , subtract 25 from each side
Multiply each side by −5, add 25 to each side
Question 2(Multiple Choice Worth 5 points)
Solve for x: 5x + 15 = 28

forty-three over five
thirteen over five
13
43
Question 3(Multiple Choice Worth 5 points)
Solve for x: one over four (4x + 15) = 24

49
two hundred seven over four
eighty one over four
9
Question 4(Multiple Choice Worth 5 points)
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Step 1: She should have added 25 to each side.
Step 1: She should have divided both sides by −5.
Step 3: She should have divided both sides by −5.
Step 3: She should have multiplied both sides by −5.

Answer 1

X=32
Just because I know I’m right I have to be

Answer 2

Multiply each side by −5, add 25 to each side

Explanation:

Given expression:

`(-1)/(5) (x-25)=7`

According to the BODMAS (bracket, of, divide, multiply, add, subtract), to solve for x, we need to first multiply -5 on both sides, we get:

`x-25-7+25`

→
`x-25=-35`

Now, add 25 on both sides, we get:

`x-25+25=7+25`

→
`x=32`

Hence, the correct sequence of operations is "Multiply each side by −5, add 25 to each side".

Hope this helps :)