3. $c = 100$
$\pi$ (pi) = 3.14
$d = c \div \pi$
$d = \underline{\quad ? \quad}$

4. $l = 240$
$w = l \div 3$
$a = l \times w$
$a = \underline{\quad ? \quad}$

5. $a = 4$
$b = 9$
$c = 11$
$d = a + 2b - c$
$d = \underline{\quad ? \quad}$

7. $l = 2m + 2n$
$n = \underline{\quad ? \quad}$

8. $p = i \times i \times r$ (or $p = i^2r$)
$i = \underline{\quad ? \quad}$

Question

3. $c = 100$
$\pi$ (pi) = 3.14
$d = c \div \pi$
$d = \underline{\quad ? \quad}$

4. $l = 240$
$w = l \div 3$
$a = l \times w$
$a = \underline{\quad ? \quad}$

5. $a = 4$
$b = 9$
$c = 11$
$d = a + 2b - c$
$d = \underline{\quad ? \quad}$

7. $l = 2m + 2n$
$n = \underline{\quad ? \quad}$

8. $p = i \times i \times r$ (or $p = i^2r$)
$i = \underline{\quad ? \quad}$

Accepted Answer

{ "quality": "clear", "question_count": 5, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Substitution", "Basic Arithmetic Operations" ], "new_concepts": [ "Literal Equations", "Formula Rearrangement" ], "current_concepts": [ "Algebraic Substitution", "Basic Arithmetic Operations", "Literal Equations", "Formula Rearrangement" ] } ## Solve Question 3 $$ \begin{aligned} &C = 100,\quad \pi = 3.14\ &D = C \div \pi = 100 \div 3.14 \approx 31.85 \end{aligned} $$ ## Solve Question 4 $$ \begin{aligned} &l = 240\ &w = l \div 3 = 240 \div 3 = 80\ &A = l \times w = 240 \times 80 = 19200 \end{aligned} $$ ## Solve Question 5 $$ \begin{aligned} &A = 4,\quad B = 9,\quad C = 11\ &D = A + 2B - C = 4 + 2(9) - 11 = 4 + 18 - 11 = 11 \end{aligned} $$ ## Solve Question 7 $$ \begin{aligned} &L = 2M + 2N\ &L - 2M = 2N\ &N = \frac{L - 2M}{2} \quad \text{or} \quad N = \frac{L}{2} - M \end{aligned} $$ ## Solve Question 8 $$ \begin{aligned} &P = I^2 R\ &I^2 = \frac{P}{R}\ &I = \sqrt{\frac{P}{R}} \end{aligned} $$ ## Question 3 $D =$ $31.85$ ## Question 4 $A =$ $19200$ ## Question 5 $D =$ $11$ ## Question 7 $N =$ $\frac{L - 2M}{2}$ ## Question 8 $I =$ $\sqrt{\frac{P}{R}}$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Literal Equations" ] }

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