I need help solving this math problem, please:

Problem:
Angela's math test had 100 multiple-choice questions. Each correct answer was worth 1 point, each incorrect answer was worth -2 points, and skipped questions were worth 0 points. Angela answered an even number of questions, was unable to complete the entire test, and did answer some questions incorrectly. Her test score was an 88. How many questions did she answer correctly? How many questions did she answer incorrectly?

let the number of correct be x

let the number of incorrect be y

then x - 2y = 88

we know y>0, x<100, x+y < 100

how about y=1 then x = 90
y = 2 , then x = 92
y = 3 then x = 94

y = 4 then x = 96 but she missed some

so the three possible answers are:
90 correct, 1 incorrect
92 correct, 2 incorrect
94 correct, 3 incorrect

all your conditions are met.

thank you!

small adjustment to my answer.

I just noticed it said, "she answered an even number of questions", I had read it as an even number of correct questions.

so the only possible answer is
92 correct, 2 incorrect

To solve this problem, let's break it down step by step.

Step 1: Determine the number of correct answers
Let's represent the number of correct answers as C.

Step 2: Determine the number of incorrect answers
Since each incorrect answer deducts 2 points, and Angela's test score is 88, we can write the equation:
C - 2I = 88
where I represents the number of incorrect answers.

Step 3: Determine the number of skipped questions
Since the skipped questions are worth 0 points:
100 - (C + I) = S
where S represents the number of skipped questions.

Step 4: Solve the equations simultaneously
We now have a system of equations:
C - 2I = 88
C + I + S = 100

Let's solve this system of equations:
From the second equation, we can rewrite it as S = 100 - (C + I).

Substituting this value of S into the first equation:
C - 2I = 88
C + I + (100 - (C + I)) = 100
C - 2I = 88

Simplifying the second equation:
C + I + 100 - C - I = 100
100 - 2I = 100
-2I = 0 (subtracting 100 from both sides)
I = 0 (dividing by -2 on both sides)

Now, substitute this value of I into the first equation:
C - 2(0) = 88
C = 88

Therefore, Angela answered 88 questions correctly and 0 questions incorrectly.

Final answer:
Angela answered 88 questions correctly and 0 questions incorrectly.