Question

Mr. Smith gave his students a math quiz last Friday. Each question on the quiz was worth 3 points, and the quiz was worth 45 points in total. Let q represent the number of questions on the quiz. Write an equation to model the problem and solve the equation to find the number of questions on the quiz.

A) Equation: 3q = 45, q = 15 questions
B) Equation: 45q = 3, q = 1/45 questions
C) Equation: q - 45 = 3, q = 48 questions
D) Equation: 45q + 3 = q, q = 1 question

Answer 1

The equation to model the problem is 3q = 45, which when solved by dividing both sides by 3, yields q = 15 questions. This indicates that there are 15 questions on the quiz.

Step-by-step explanation:

In mathematics, when we are presented with a problem that includes variables and constants, we can create an equation to model the problem. In this specific case, Mr. Smith gave his students a math quiz where each question is worth 3 points and the total value of the quiz is 45 points. Let's denote q as the number of questions. To represent this situation algebraically, we use the equation 3q = 45.

Next, we solve the equation 3q = 45 to find the value of q. We divide both sides of the equation by 3, which gives us q = 45 / 3. Solving this, we find that q = 15. So, the number of questions on the quiz is 15 questions.