1. The problem is to create a math quiz with multiple questions. 2. Let's design a quiz with three algebra problems involving solving equations and simplifying expressions. **Question 1:** Solve for $x$ in the equation $$2x + 5 = 15$$. **Solution:** - Subtract 5 from both sides: $$2x = 15 - 5$$ - Simplify: $$2x = 10$$ - Divide both sides by 2: $$x = \frac{10}{2} = 5$$ **Question 2:** Simplify the expression $$3(x - 4) + 2x$$. **Solution:** - Distribute 3: $$3x - 12 + 2x$$ - Combine like terms: $$3x + 2x - 12 = 5x - 12$$ **Question 3:** Solve for $y$ in the quadratic equation $$y^2 - 4y - 5 = 0$$. **Solution:** - Factor the quadratic: $$(y - 5)(y + 1) = 0$$ - Set each factor equal to zero: - $$y - 5 = 0 \Rightarrow y = 5$$ - $$y + 1 = 0 \Rightarrow y = -1$$ This quiz covers solving linear equations, simplifying expressions, and solving quadratic equations.