Solve. Subtract 6x2 – X – 7 from the product of x2 + x + 5 and x - 6.
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Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
<em>Translating the word problem into an algebraic equation;</em>
For the total number of questions;
.........equation 1
For the total number of points;
..........equation 2
<u>Given the following data;</u>
Total number of questions = 65
Total number of points = 333
<em>Solving the linear equation by using the substitution method;</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
<em>Rearranging the equation, we have;</em>
y = 32 (For the 8 points question).
<em>Substituting "y" into equation 3;</em>
x = 33 (For the 4 points question).
<em>Therefore, the number of 4 point questions on the test are 33 questions. </em>