Answer two questions about Equations
\[A\] and
\[B\]:
\[\begin{aligned}
A.&&\dfrac x4+1&=-3
\\\\
B.&&x+4&=-12
\end{aligned}\]
1) How can we get Equation
\[B\] from Equation
\[A\]?
Choose 1 answer:
Choose 1 answer:
(Choice A) Rewrite one side (or both) using the distributive property
A
Rewrite one side (or both) using the distributive property
(Choice B) Rewrite one side (or both) by combining like terms
B
Rewrite one side (or both) by combining like terms
(Choice C) Multiply/divide only one side by a non-zero constant
C
Multiply/divide only one side by a non-zero constant
(Choice D) Multiply/divide both sides by the same non-zero constant
D
Multiply/divide both sides by the same non-zero constant
Choice B) Rewrite one side (or both) by combining like terms.
it says its wrong
I apologize for the incorrect answer.
To get Equation B from Equation A, we can rewrite Equation A by adding 2 to both sides:
\[\frac{x}{4} + 1 + 2 = -3 + 2\]
This simplifies to:
\[\frac{x}{4} + 3 = -1\]
Now, we can rewrite Equation B as:
\[x + 4 = -12\]
Therefore, the correct answer is Choice A) Rewrite one side (or both) using the distributive property.
it said its d
I apologize for the confusion.
To get Equation B from Equation A, we can multiply both sides of Equation A by 4.
Starting with Equation A:
\[\frac{x}{4} + 1 = -3\]
Multiply both sides by 4:
\[4\left(\frac{x}{4} + 1\right) = 4(-3)\]
This simplifies to:
\[x + 4 = -12\]
Therefore, the correct answer is Choice D) Multiply/divide both sides by the same non-zero constant.
Answer two questions about Equations
\[A\] and
\[B\]:
\[\begin{aligned}
A.&&3(x+2)&=18
\\\\
B.&&x+2&=18
\end{aligned}\]
1) How can we get Equation
\[B\] from Equation
\[A\]?
Choose 1 answer:
Choose 1 answer:
(Choice A) Multiply/divide both sides by the same non-zero constant
A
Multiply/divide both sides by the same non-zero constant
(Choice B) Multiply/divide only one side by a non-zero constant
B
Multiply/divide only one side by a non-zero constant
(Choice C) Rewrite one side (or both) by combining like terms
C
Rewrite one side (or both) by combining like terms
(Choice D) Rewrite one side (or both) using the distributive property
D
Rewrite one side (or both) using the distributive property
To get Equation B from Equation A, we can simplify Equation A by applying the distributive property:
Starting with Equation A:
\[3(x+2) = 18\]
Using the distributive property, we can simplify the left side:
\[3x + 6 = 18\]
Now we have Equation B:
\[x + 6 = 18\]
Therefore, the correct answer is Choice D) Rewrite one side (or both) using the distributive property.