Tim answered all the questions on his math test but got 10 answers wron He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points. Write an equation to determine the total number of questions \( (q) \) on Tim's math test.

Let's denote the total number of questions on Tim's math test as \( q \). Given: - Tim answered all the questions on his math test. - He got 10 answers wrong. - He received 4 points for every correct answer. - There was no penalty for wrong answers. - His score was 76 points. We can set up an equation to represent the total score Tim received: \[ 4(q - 10) = 76 \] This equation represents the total points Tim received by subtracting the points he lost for the wrong answers from the points he earned for the correct answers. Now, we can solve this equation to find the total number of questions \( q \) on Tim's math test. Solve the equation by following steps: - step0: Solve for \(q\): \(4\left(q-10\right)=76\) - step1: Divide both sides: \(\frac{4\left(q-10\right)}{4}=\frac{76}{4}\) - step2: Divide the numbers: \(q-10=19\) - step3: Move the constant to the right side: \(q=19+10\) - step4: Add the numbers: \(q=29\) The total number of questions on Tim's math test is 29.