Question

Answer two questions about Equations AAA and BBB:

A.3x−1=7

B.3x=8 1

How can we get Equation BBB from Equation AAA?

Choose 1 answer:

(Choice A)
A
Multiply/divide both sides by the same non-zero constant

(Choice B)
B
Multiply/divide both sides by the same variable expression

(Choice C)
C
Add/subtract the same quantity to/from both sides

(Choice D)
D
Add/subtract a quantity to/from only one side

2) Based on the previous answer, are the equations equivalent?

In other words, do they have the same solution?

Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answer 1

1. C Add/subtract the same quantity to/from both sides

2. A Yes

Explanation:

Start with Equation A.

3x - 1 = 7

Add 1 to both sides.

3x = 8

First question:

How can we get Equation B from Equation A?

Answer:

C Add/subtract the same quantity to/from both sides

Second question:

Based on the previous answer, are the equations equivalent?

Since by doing a valid step (adding 1 to both sides) Equation A became Equation B, the two equations are equivalent.

Answer:

A Yes