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Introduction to Polynomials: Final Assessment

Section A: Core Review

Question 1mcq
In 5x23x+75x^2-3x+7, which part is the constant term?
A.5x25x^2
B.3x-3x
C.xx
D.77
Question 2mcq
Which option is an equation, not just an algebraic expression?
A.x25xx^2-5x
B.2x+32x+3
C.2x+3=112x+3=11
D.7a4b7a-4b
Question 3mcq
Evaluate 2x+52x+5 when x=3x=3.
A.88
B.1010
C.1111
D.1313
Question 4mcq
In a review question, which expression is a polynomial in one variable?
A.x+1\sqrt{x}+1
B.1x+2\frac{1}{x}+2
C.3x22x+53x^2-2x+5
D.2x1+32x^{-1}+3
Question 5mcq
Which expression is not a polynomial?
A.77
B.x2+4xx^2+4x
C.x2+4x^{-2}+4
D.3x3x+13x^3-x+1
Question 6mcq
In 4x3+7x2-4x^3+7x-2, what is the coefficient of x3x^3?
A.4-4
B.77
C.2-2
D.44
Question 7mcq
In a review question, which expression is a polynomial in one variable?
A.2x1+32x^{-1}+3
B.x+1\sqrt{x}+1
C.1x+2\frac{1}{x}+2
D.3x22x+53x^2-2x+5
Question 8mcq
A student is practising Polynomial Degree. Which statement best matches the idea: Classify polynomials by degree?
A.Ignore the given conditions and choose any formula.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Use only a guess because diagrams are always exact.
D.Change the question so the answer becomes easier.

Section B: Application and Reasoning

Question 9mcq
A student is practising Polynomial Degree. Which statement best matches the idea: Classify polynomials by number of terms?
A.Use the correct definition or theorem and justify each step with mathematical reasoning.
B.Use only a guess because diagrams are always exact.
C.Change the question so the answer becomes easier.
D.Ignore the given conditions and choose any formula.
Question 10mcq
In a review question, which expression is a linear polynomial?
A.4x94x-9
B.x2+1x^2+1
C.3x33x^3
D.1x\frac{1}{x}
Question 11mcq
Tickets cost 50₹50 for adults and 30₹30 for children. If xx adults and yy children attend, which equation models total collection 430₹430?
A.x+y=430x+y=430
B.50x+30y=43050x+30y=430
C.30x+50y=430030x+50y=4300
D.50x30y=43050x-30y=430
Question 12mcq
Tickets cost 50₹50 for adults and 30₹30 for children. If xx adults and yy children attend, which equation models total collection 430₹430?
A.50x+30y=43050x+30y=430
B.x+y=430x+y=430
C.50x30y=43050x-30y=430
D.30x+50y=430030x+50y=4300
Question 13mcq
A student is practising Linear Relationships. Which statement best matches the idea: Identify linear patterns from tables?
A.Ignore the given conditions and choose any formula.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Change the question so the answer becomes easier.
D.Use only a guess because diagrams are always exact.
Question 14mcq
A student is practising Linear Relationships. Which statement best matches the idea: Write a rule for a linear pattern?
A.Use only a guess because diagrams are always exact.
B.Use the correct definition or theorem and justify each step with mathematical reasoning.
C.Ignore the given conditions and choose any formula.
D.Change the question so the answer becomes easier.
Question 15mcq
Which table shows a linear relationship?
A.(1,1),(2,4),(3,9)(1,1),(2,4),(3,9)
B.(1,2),(2,5),(3,10)(1,2),(2,5),(3,10)
C.(1,8),(2,8),(3,9)(1,8),(2,8),(3,9)
D.(1,3),(2,5),(3,7)(1,3),(2,5),(3,7)
Question 16mcq
For the line y=3x5y=3x-5, what are the slope and y-intercept?
A.Slope 3x3x, y-intercept 55.
B.Slope 33, y-intercept 5-5.
C.Slope 5-5, y-intercept 33.
D.Slope 3-3, y-intercept 55.

Section C: Challenge and Mixed Practice

Question 17mcq
For the line y=3x5y=3x-5, what are the slope and y-intercept?
A.Slope 33, y-intercept 5-5.
B.Slope 5-5, y-intercept 33.
C.Slope 3x3x, y-intercept 55.
D.Slope 3-3, y-intercept 55.
Question 18mcq
Which is a statistical investigative question?
A.What is the formula for area of a circle?
B.How many hours do students in Grade 9 study on a typical weekday?
C.What is 2+32+3?
D.Is 77 a prime number?
Question 19mcq
Tickets cost 50₹50 for adults and 30₹30 for children. If xx adults and yy children attend, which equation models total collection 430₹430?
A.30x+50y=430030x+50y=4300
B.x+y=430x+y=430
C.50x30y=43050x-30y=430
D.50x+30y=43050x+30y=430
Question 20mcq
A student must solve a computational thinking in algebra problem accurately. Which approach shows good step-by-step mathematical thinking?
A.Change the given data to make calculation easier.
B.Guess the answer without checking.
C.Break the problem into smaller steps, apply the correct rule, and check the result.
D.Ignore units, labels and conditions.
Question 21mcq
In 5x23x+75x^2-3x+7, which part is the constant term?
A.xx
B.77
C.3x-3x
D.5x25x^2
Question 22mcq
In a review question, which option is an equation, not just an algebraic expression?
A.7a4b7a-4b
B.2x+3=112x+3=11
C.x25xx^2-5x
D.2x+32x+3
Question 23mcq
Evaluate 2x+52x+5 when x=3x=3.
A.88
B.1111
C.1010
D.1313
Question 24mcq
Which expression is a polynomial in one variable?
A.1x+2\frac{1}{x}+2
B.2x1+32x^{-1}+3
C.3x22x+53x^2-2x+5
D.x+1\sqrt{x}+1