Mr. Johanssen gives his class 50-question multiple-choice tests. Each correct answer
worth 2 points, while a half point is deducted for each incorrect answer. If the student does
not answer a question, that question does not get any points.

A student needs to earn 80 points on the test in order to keep an A grade for the
semester. Write an equation in standard form that represents the situation. Identify
3 combinations of correct and incorrect answers that satisfy the equation.

Respuesta :

The equation that will satisfy the statement is

1) 2x -0.5y > 80,  (x,y < 50)

2) 4x - y > 160,  (x,y>50)

3) 8x - 2y > 320 (x,y < 50).

What is System of Equation and Inequalities?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Let the number of Correct answer be x and number of incorrect answer be y.

The equation that will satisfy the statement is

1) 2x -0.5y > 80,  (x,y < 50)

2) 4x - y > 160,  (x,y>50)

3) 8x - 2y > 320 (x,y < 50)

The equations that will not satisfy the tatement are ,

1) 2x -0.5y < 80,  (x,y < 50)

2) 4x - y < 160,  (x,y>50)

3) 8x - 2y < 320 (x,y < 50)

To learn more about Inequalitites refer to :

https://brainly.com/question/2456006

https://brainly.com/question/8959375

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