Calculus 120 Self-Assessment
Name: ________________________
Final Mark:
Part A: Please complete on your own. You may use a calculator, but should not use any additional resources. Your
results are your own and will not be recorded in Edline. Marks will be awarded for completion.
1) The extraneous root in the radical equation
a) -7
b) -3
is:
c) 3
d) 7
2) Which statement is true?
a)
b)
c)
d)
3) Which ordered pair below is a solution of the linear-quadratic system?
a) (1,10)
b) (-1,14)
4) One of the roots of the quadratic equation 5x2 + 30x = -25 is:
a) -5
b) 1
5) The parabola y = -x2 + 4x + 1 will have:
a) A maximum of 2
b) A minimum of 2
d) A minimum of 5
e) A maximum of -5
c) (3,6)
d) (-3,10)
c) 5
d) 6
c) A maximum of 5
6) What is the equation of the horizontal line that contains the point (-3,8)?
a) y = 8
b) y = -3
c) x = -3
d) x = 8
e) 3x = 8y
2
7) Evaluate 27−3
a) -18
b) -9
1
c) − 9
8) When factored completely, the factors of 2y2 – 32x2 are
a) 2yy – 25xx
b) 2(y2 – 16x2)
c) 2(y – 4x)2
1
d) 9
e) 9
d) 2(y – 4x)(y + 4x)
9) What is the simplest form of of the sum of −2𝑥√6𝑥 + 5𝑥√6𝑥, 𝑥 ≥ 0?
a) 3√6𝑥
b) 6√12𝑥
c) 3𝑥√6𝑥
d) 6𝑥√12
10) The graph of which function is congruent to the graph of 𝑓(𝑥) = 𝑥 2 + 3 but translated vertically 2 units down?
a) 𝑓(𝑥) = 𝑥 2 + 1
b) 𝑓(𝑥) = (𝑥 + 2)2 + 3
c) 𝑓(𝑥) = 𝑥 2 + 5
d) 𝑓(𝑥) = (𝑥 − 2)2 + 3
11) The domain and range of the function y = f(x) shown above are:
a)
b)
d)
d)
12) When the system of equations given below is solved, the value of y is:
2x + y = 0
x – y = –6
a) – 4
b) 4
c) – 2
d) 2
13) Of the following, which has the greatest value when 𝑤 = 0.0001?
b) 𝑤 2
a) 1000𝑤
d) √𝑤
c) w
1
e) 𝑤
14) To solve the following system of linear equations for x, Carla used the substitution method. Check her work and
determine where she made her mistake.
(1) 2x – 4y = 7
(2) 4x + y = 5
a) Step 1: Solve equation (2) for y: y = 5 – 4x
b) Step 2: Substitute into equation (1): 2x – 4(5 – 4x) = 7
c) Step 3: Simplify: 2x – 20 – 16x = 7
d) Step 4: Solve for x:
15) On the graph given, the line contains the points (0,0) and (1,2). If a line (not shown) contains the
point (0,0) and is perpendicular to the given line, what is its equation?
1
1
a) 𝑦 = − 2 𝑥
d) 𝑦 = −𝑥 + 2
b) 𝑦 = − 2 𝑥 + 1
e) 𝑦 = −2𝑥
c) 𝑦 = −𝑥
√𝑥
16) If 𝑥 > 1 and 𝑥 3 = 𝑥 𝑚 , what is the value of m?
7
a) − 2
b) -2
5
c) − 2
17) If the function f is defined by 𝑓(𝑥) =3x+ 4, then 2 𝑓(𝑥) + 4
a) 5𝑥 + 4
b) 5𝑥 + 8
c) 6𝑥 + 4
3
d) -3
e) − 2
d) 6𝑥 + 8
e) 6𝑥 + 12
18) Which of the following statements are true?
a) i and iii only
b) ii and iv only
c) iii and iv only
d) i and ii only
19) How many of the following statements are true?
 If (x + 3) is a factor of a quadratic function, then -3 is an x-intercept of its graph.
 If the vertex of a quadratic function in the form y = ax2 + bx + c is located in quadrant II and a < 0, then its graph
has two x-intercepts.
 The zeros of a quadratic function are the roots of its corresponding quadratic equation.
 The solutions to a quadratic equation can be determined by finding the x-intercepts and y-intercepts of its
corresponding function.
a) 1
b) 2
c) 3
d) 4
20) The roots of the equation
can be found using the quadratic formula,
simplifying. When written in the form
a) 6
b) 12
and then
, the value of A is:
c) 64
d) 96
21) Terry, Barry, Larry, Jerry, and Perry are lined up in these positions midway through a track meet: Terry is 20
meters behind Barry, Barry is 50 meters ahead of Larry, Larry is 10 meters behind Perry, Jerry is 30 meters ahead
of Terry, Perry is 50 meters behind Jerry. At this point in the race, the people in first, second and third positions
respectively, are
a) Jerry, Barry, and Terry
b) Barry, Terry, and Perry
c) Jerry, Terry and Perry
d) Larry, Perry, and Terry
22) One factor of 2x2 + 11x + 12 is
a) x + 2
b) x + 3
c) x + 4
23) A solution for the radical equation
a) x = -2
b) x = 6
d) x + 6
is
c) x = 66
24) Find P(-2) if P(x) = x4 + 3x3 - x2 + 8
a) -44
b) -4
c) 1
d) no solution
d) 4
25) If 16 × 25 × 36 = (4𝑎)2 what is the value of a?
a) 6
b) 15
c) 30
e) 44
d) 36
e) 60
26) Determine the x-intercepts for Y = 2x2 - 11x + 5.
1
a) 2 , 5
1
b) − 2 , 5
1
c) 2 , −5
27) Solve x2 = 2x + 7 using the quadratic formula, 𝑥 =
a)±4√2
b) 2 ± 2√2
1
d) − 2 , −5
5
e) 2 , 2
−𝑏±√𝑏2 −4𝑎𝑐
2𝑎
c) ±2√2
d) 1 ± 2√2
e) No real roots
28) Solve the given system of linear equations for x:
a) -5
b) -4
c) 1
d) 4
e) 5
29)
written as a mixed radical in simplest form is:
a)
b)
c)
30) When factored completely, the factors of 5x2 – 7x – 6 are:
a) (5x + 2)(x – 3)
b) (5x + 3)(x – 2)
d)
c) (5x – 2)(x + 3)
d) (5x – 3)(x + 2)
31) The domain and range of the function y = f(x) shown above are:
a)
b)
c)
d)
32) Determine the x-intercept and y-intercept for the line defined by 4x + 3y = 12. Record the x-intercept and then
the y–intercept as ______ and ______
a) 4 and 3
b) 2 and 6
c) 4 and 4
d) 3 and 4
33) A convenience store sells small bottle of juice for $2 and large bottles of juice for $3. Ciara bought 8 bottles of
juice and paid $18. If some bottles were small and some were large, how many small bottles did she purchase?
a) 2
b) 3
c) 4
d) 5
e) 6
34) A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio
of 5 to 3, what was the number of votes cast for Pérez?
a) 15,000
b) 30,000
c) 45,000
d) 75,000
e) 80,000
---------------------------------------------------------------------------------------------------------------------------------------------------------------Part B: Once you have corrected your work and filled in your mark, write a 1 page reflection. Discuss such thoughts as:
How did you feel while doing this self-assessment? How hard did you try? Were you tempted to cheat? If so, why do you
think that is? In retrospect, what could you have done differently? Do you feel prepared for Calculus 120? What can you
do this year to help you achieve your goals in this class?
Please staple the reflection to this sheet and pass it in to the appropriate bin.