2.1.1 study: solving multistep linear equations

step 1: subtract 4 from both sides.
step 2: multiply both sides by $\frac{3}{2}$.
step 3: solve for x.

a. $x = \frac{8}{3}$
b. $x = 4$
c. $x = 6$
d. $x = 12$

what is x?
choice a
choice b
choice c
choice d

Question

2.1.1 study: solving multistep linear equations

step 1: subtract 4 from both sides.
step 2: multiply both sides by $\frac{3}{2}$.
step 3: solve for x.

a. $x = \frac{8}{3}$
b. $x = 4$
c. $x = 6$
d. $x = 12$

what is x?
choice a
choice b
choice c
choice d

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Multistep Linear Equations" ], "new_concepts": [], "current_concepts": [ "Multistep Linear Equations" ] } ## Identify the original equation from the steps $$ \begin{aligned} &\text{Let the equation be } \frac{2}{3}x + 4 = 8\ &\text{Step 1: Subtract 4 from both sides}\ &\frac{2}{3}x = 4\ &\text{Step 2: Multiply both sides by } \frac{3}{2}\ &x = 4 \cdot \frac{3}{2}\ &\text{Step 3: Solve for } x\ &x = 6 \end{aligned} $$ ## Match with the options $$ \begin{aligned} &\text{Option A: } x = \frac{8}{3}\ &\text{Option B: } x = 4\ &\text{Option C: } x = 6\ &\text{Option D: } x = 12 \end{aligned} $$

Choice A

Choice B

Choice C

Choice D

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Multistep Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the original equation from the steps

Match with the options

Answer: