There were 45 questions on the test. four points will be awarded for every correct answer, and two points will be deducted for every wrong answer. If Henry scored 150 points, how many questions did he get wrong? Use a variable or assumption to solve.
Let's say Henry got x questions wrong.
Since there were 45 questions in total, he must have gotten (45 - x) questions correct.
For every correct answer, Henry scores 4 points, so the number of points he gets for correct answers is 4 * (45 - x).
For every wrong answer, Henry loses 2 points, so the number of points he loses for wrong answers is 2 * x.
Given that Henry scored 150 points in total, we can set up the equation:
4 * (45 - x) - 2 * x = 150
Simplifying the equation:
180 - 4x - 2x = 150
180 - 6x = 150
-6x = 150 - 180
-6x = -30
Dividing both sides by -6:
x = 30/6
x = 5
Therefore, Henry got 5 questions wrong.