You can solve this problem using this equation: 34x + 14 = 30x + 22.
The x stands for how many points each multiple choice question is worth. 34x is the number of multiple choice questions Francine got correct multiplied by the currently unknown number each point is worth, while 14 represents the 14 points that Francine was given for her essay. 30x is the number of multiple choice questions Cheryl got correct multiplied by the currently unknown number each point is worth, while 22 represents the 22 points that Cheryl was given for her essay.
To solve, we can subtract 30x from 34x on the left side of the equation, and subtract 14 from 22 on the right side of the equation. That leaves, 4x = 8. Next step would be dividing 4 from each side which gives us x = 2. In order for Francine and Cheryl to receive the same test score, each multiple choice questions would have to be worth 2 points.
