Answer:
[tex]\large \boxed{\textbf{1. No; 2. 119; 3. 84}}[/tex]
Step-by-step explanation:
Score = Σ(tests) + Σ(exams) = (7 + 8 + 7 + 5) + (81 + 80 + x) = 35 + 161 + x = 196 + x
To receive an A, the student must score at least 0.9 × 350 = 315 points
To receive a B, the student must score at least 0.8 × 350 = 280 points.
1. Can the student receive an A?
[tex]\begin{array}{rcl}196 + x & \geq & 315\\x & \geq & 315 - 196\\& \geq & \mathbf{119}\\\end{array}\\\text{ $\large \boxed{\textbf{No.}}$ The student cannot make an A on the test.}[/tex]
2. Minimum score for an A
[tex]\text{The minimum score for an A is $\large \boxed{\mathbf{119}}$}[/tex]
3. Minimum score for a B
[tex]\begin{array}{rcl}196 + x & \geq & 280\\x & \geq & 280 - 196\\& \geq & \mathbf{84}\\\end{array}\\\text{The minimum score for a B is $\large \boxed{\mathbf{84}}$}}[/tex]
