Question

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.

−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
Step 4: x = twenty-three over seven

Step 1: He should have added 25 to each side.

Step 1: He should have divided both sides by −7.

Step 3: He should have divided both sides by −7.

Step 3: He should have multiplied both sides by −7.
Anybody know I'm new to this virtual school thing

Answer 1

In step 1, 25 was subtracted from both sides.
This is correct because you need to undo the +25 on the left side.
Step 1 is correct.

Answer 2

Step 2 does 25 - 25 on the left side and 48 - 25 on the right side.
Step 2 is also correct.

Answer 3

In step 2, you have
-7x = 23
You have x being multiplied by -7.
What do you need to do to undo the multiplication by -7?

Answer 4

You are very close.
Since x is being multiplied by -7, you need to divide by -7.
In an equation, you need to do the same operation to both sides.
You need to divide both sides by -7.
Now look in step 3.
Were both sides of the equation divided by -7?