BC Math 10 Exponents Practice Test
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Prepare for the BC Math 10 Provincial Exam by working through this Exponents practice test. This course is also known as BC Math 10 Foundations and Pre-Calculus 10.
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MATH 115 Precalculus Fall, 2018, V1.4
Page 1 of 7
MATH 115 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator. You must complete the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet provided.
There are 28 problems.
Problems #1–6 are Multiple Choice.
Problems #7–17 are Short Answer. (Work not required to be shown)
Problems #18–28 are Short Answer with work required to be shown.
MULTIPLE CHOICE
1. Solve | 7 – 5x | 8 and write interval notation for the solution set. 1. _______
A. (−∞, −
1
5
] ∪ [3, ∞)
B. (−∞, 3] ∪ [−
1
5
, ∞)
C. [−
1
5
, ∞)
D. [−
1
5
, 3]
2. Which of the following polynomials has a graph which exhibits the end behavior of
upward to the left and upward to the right? 2. ______
A. f (x) = x3 – 3x2 – x
B. f (x) = 3x6 + x2 – x
C. f (x) = –7x4 – x3 – 5
D. f (x) = –6x5 + x3 + 8
3. Write as an equivalent expression: 9 log x – log (y + 3) + log 1 3. _______
A.
9
log
log ( 3)
x
y +
B. ( )log 9 2x y− −
C.
9 1
log
3
x
y
+
+
D.
9
log
3
x
y
+
vvvv
MATH 115 Precalculus Fall, 2018, V1.4
Page 2 of 7
4. Determine the interval(s) on which the function is decreasing. 4. ______
A. (–, –3.5) (0, 3.5)
B. (– 5.3, 5.3)
C. (– 3.5, 3.5)
D. (– 2, 2)
5. Which of the functions corresponds to the graph? 5. ______
A. ( ) 1xf x e−= +
B. ( ) 2xf x e−= +
C. ( ) 2xf x e−=
D. ( ) 2 xf x e−=
MATH 115 Precalculus Fall, 2018, V1.4
Page 3 of 7
6. Which of the functions corresponds to the graph? 6. ______
A. f (x) = 3 – sin x
B. f (x) = sin x + 3
C. f (x) = 2 cos x + 1
D. f (x) = cos(2x) + 2
SHORT ANSWER:
7. Points (–9, 2) and (–5, 8) are endpoints of the diameter of a circle.
(a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________
(b) What is the center of the circle? Answer: ____________
(c) What is the equation of the circle? Answer: ___________________________
8. Find the value of the logarithm: log8 (
1
64
). Answer: ____________
9. A salesperso.
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3) Key steps are shown to solve the equation 5x = 15,000 by rewriting in logarithmic form, using the change of base formula to solve for x, and checking the exponential form of the answer.
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- 1. www.provincialexam.ca | BC Math 10 Provincial Exam Practice Questions Exponents Practice Test Name: ______________________ Period: _____ No Calculator Section (Questions 1 to 6) 1) Which of the following statements are true? Choose MORE than one answer. (no calc) I. 16 8= since 8 8 16+ = II. 9 3= since 3 3 9× = III. 3 4 2= since 2 2 4× = IV. 3 8 2= since 2 2 2 8× × = (Sample answer: II, III, IV) Answer: II, IV 2) Is 2 16 a perfect cube? (Yes or No) (no calc) Answer: no 3) Is 5 8 a perfect cube? (Yes or No) (no calc) Answer: yes 4) Write 6 6 15 3 as a single power. (no calc) Answer: 6 5 5) Arrange from least to greatest value of exponent (think number line) (no calc): I. 1 w II. 2 w III. 4 1/2 w IV. 3 w (for example: II, III, I, IV) Answer: I, III, IV, II 6) Arrange from least to greatest (no calc): I. 2 2− II. 16 III. 3 3 IV. 2 5− (for example: I, II, IV, III) Answer: IV, I, II, III
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