Question

A perfect score on a test with 25 questions is 100. Each question is worth 4 points. Fred got a score of 84 on the test write a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly

Answer 1

Given:
perfect score- 100
number of questions of the test- 25
worth of each question- 4 points
Fred's score- 84
n- number of questions Fred had answered incorrectly.

solution:
solve for n
division sentence: (100 ÷ 4 ) -  ( 84 ÷ 4 ) = n

(100 ÷ 4 ) -  ( 84 ÷ 4 ) = n
25 - 21 = n
4= n

therefore, Fred had answered 4 test questions incorrectly.

Answer 2

For this case, the first thing we must do is define a variable.

We have then:

x: number of incorrect answers.

We now write the equation that models the number of incorrect questions.

We have then:

$4x = 100 - 84$

$x = \frac{100}{4} - \frac{84}{4}$

$x =4$

Answer:

a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly is:

$x = \frac{100}{4} - \frac{84}{4}$

the number of questions Fred answered incorrectly is:

$x=4$