Question

Question 1(Multiple Choice Worth 5 points)


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

A: Step 1: He should have added 25 to each side.
B: Step 1: He should have divided both sides by −7.
C: Step 3: He should have divided both sides by −7.
D: Step 3: He should have multiplied both sides by −7.

Answer 1

c: step 3

He didn't divide by -7, he divided by regular 7.

Answer 2

Answer with Step-by-step explanation:

We have to find the mistake in the solution of Jordan in solving the following equation:

    −7x + 25 = 48

Step 1:  Subtracting by 25 on both sides

−7x + 25 − 25 = 48 − 25

Step 2:  On solving, we get

−7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

$\dfrac{-7x}{7}=\dfrac{23}{7}$  

Step 4:

$-x=\dfrac{23}{7}$  

Hence, Correct option is:

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