Math / Algebra

QuestionAnswer two questions about Equations $A$ and $B$ : A. $5 x-2+x=x-4$ B. $5 x+x=x-4$ 1) How can we get Equation $B$ from Equation $A$ ?
Choose 1 answer: (A) Add/subtract a quantity to/from only one side
B Add/subtract the same quantity to/from both sides C Rewrite one side (or both) using the distributive property (D) Rewrite one side (or both) by combining like terms

Studdy Solution

STEP 1

1. We have two equations, $A$ and $B$ .
2. We need to determine how Equation $B$ can be derived from Equation $A$ .

STEP 2

1. Analyze Equation $A$ .
2. Analyze Equation $B$ .
3. Compare the two equations to determine the transformation.

STEP 3

Start with Equation $A$ : $5x - 2 + x = x - 4$ .

STEP 4

Look at Equation $B$ : $5x + x = x - 4$ .

STEP 5

Compare the left-hand sides of both equations: - Equation $A$ : $5x - 2 + x$ - Equation $B$ : $5x + x$
Notice that the term $-2$ is present in Equation $A$ but not in Equation $B$ .

STEP 6

To transform Equation $A$ into Equation $B$ , the term $-2$ is removed from the left-hand side of Equation $A$ .
This can be done by rewriting the left-hand side of Equation $A$ by combining like terms.
The correct choice is:
$\boxed{(D) \text{ Rewrite one side (or both) by combining like terms}}$

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Studdy Solution

STEP 1

1. We have two equations, $A$ and $B$ .
2. We need to determine how Equation $B$ can be derived from Equation $A$ .

STEP 2

1. Analyze Equation $A$ .
2. Analyze Equation $B$ .
3. Compare the two equations to determine the transformation.

STEP 3

Start with Equation $A$ : $5x - 2 + x = x - 4$ .

STEP 4

Look at Equation $B$ : $5x + x = x - 4$ .

STEP 5

Compare the left-hand sides of both equations: - Equation $A$ : $5x - 2 + x$ - Equation $B$ : $5x + x$
Notice that the term $-2$ is present in Equation $A$ but not in Equation $B$ .

STEP 6

To transform Equation $A$ into Equation $B$ , the term $-2$ is removed from the left-hand side of Equation $A$ .
This can be done by rewriting the left-hand side of Equation $A$ by combining like terms.
The correct choice is:
$\boxed{(D) \text{ Rewrite one side (or both) by combining like terms}}$

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Studdy Solution

STEP 1

1. We have two equations, A A A and B B B.2. We need to determine how Equation B B B can be derived from Equation A A A.

STEP 2

1. Analyze Equation A A A.2. Analyze Equation B B B.3. Compare the two equations to determine the transformation.

STEP 3

Start with Equation A A A: 5x−2+x=x−4 5x - 2 + x = x - 4 5x−2+x=x−4.

STEP 4

Look at Equation B B B: 5x+x=x−4 5x + x = x - 4 5x+x=x−4.

STEP 5

Compare the left-hand sides of both equations: - Equation A A A: 5x−2+x 5x - 2 + x 5x−2+x - Equation B B B: 5x+x 5x + x 5x+xNotice that the term −2-2−2 is present in Equation A A A but not in Equation B B B.

STEP 6

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. We have two equations, $A$ and $B$ .
2. We need to determine how Equation $B$ can be derived from Equation $A$ .

1. Analyze Equation $A$ .
2. Analyze Equation $B$ .
3. Compare the two equations to determine the transformation.

Start with Equation $A$ : $5x - 2 + x = x - 4$ .

Look at Equation $B$ : $5x + x = x - 4$ .

Compare the left-hand sides of both equations: - Equation $A$ : $5x - 2 + x$ - Equation $B$ : $5x + x$
Notice that the term $-2$ is present in Equation $A$ but not in Equation $B$ .