1. **Problem:** Create a quiz question based on the topics: Ratio and Proportion, Algebra, Inequalities, Sequences, Functions. 2. **Step 1: Ratio and Proportion** - Question: If the ratio of boys to girls in a class is 3:4 and there are 21 boys, how many girls are there? - Formula: If $\frac{boys}{girls} = \frac{3}{4}$ and boys = 21, then girls = $\frac{4}{3} \times 21$ - Calculation: $\frac{4}{3} \times 21 = 28$ - Answer: There are 28 girls. 3. **Step 2: Algebra** - Question: Solve for $x$: $2x + 5 = 17$ - Formula: $2x = 17 - 5$ - Calculation: $2x = 12$ so $x = \frac{12}{2} = 6$ - Answer: $x = 6$ 4. **Step 3: Inequalities** - Question: Solve the inequality $3x - 4 > 5$ - Formula: $3x > 5 + 4$ - Calculation: $3x > 9$ so $x > 3$ - Answer: $x > 3$ 5. **Step 4: Sequences** - Question: Find the 5th term of the arithmetic sequence where the first term $a_1 = 2$ and common difference $d = 3$ - Formula: $a_n = a_1 + (n-1)d$ - Calculation: $a_5 = 2 + (5-1) \times 3 = 2 + 12 = 14$ - Answer: The 5th term is 14. 6. **Step 5: Functions** - Question: If $f(x) = 2x^2 - 3x + 1$, find $f(3)$ - Calculation: $f(3) = 2(3)^2 - 3(3) + 1 = 2 \times 9 - 9 + 1 = 18 - 9 + 1 = 10$ - Answer: $f(3) = 10$