MATH 1320 Precalculus Practice Exam

MATH 1320-Section 117Exam 01-Review Test
September, 2021
First Name______________________________
Last Name______________________________
_____________________________________________________________________________________________________
Select the correct answer for questions 1-13. Write explaining your answer for the questions 14-16.
Marks will be deducted for failing to provide descriptive answers (for questions 14-16)
•There are 16 questions.
•You are not allowed to use calculators or any other electronic device.
•After you have done, you can either use a scanner (if you have one) or use your phone to either take a picture
or use a scanning app, send it to yourself (via email or google drive), if necessary convert to a pdf file and
upload twice (Proctorio and then to the uploading link).
Helpful Formulas:
−𝑏±√𝑏2−4𝑎𝑐
Quadratic Formula: 𝑥 =
2𝑎
GOOD LUCK!
________________________________________________________________________________________________
1.
Evaluate the algebraic expression for the given value or values of the variable(s).
– 5(x – y);
x = 8 and y = 2
A) 26
2.
B) -94
4.
D) 22
Evaluate the expression or indicate that the root is not a real number.
A) 64
3.
C) 34
B) 14
C)
D) 8
Find the product.
( 5 + 6x)( 5 – 6x)
A) 25 – 60x – 36
B) 36
– 25
C) 25 – 36
D) 25 + 60x – 36
Multiply or divide as indicated.
÷
A)
5.
B) y – 6
C)
D)
Write the number in decimal notation without the use of exponents.
2.87 × 104
A) 287,000
6.
+
i
B)
–
i
C)
B) { -5 + 2i}
–
i
D)
C) { -5 + 2i, -5 – 2i}
+
i
D) { -5 – 4i, -5 + 4i}
Plot the given point in a rectangular coordinate system.
( 2, -3)
(A)
(B)
C)
9.
D) 28,700
Solve the equation using the quadratic formula.
+ 10x + 29 = 0
A) { -3, -7}
8.
C) 114.8
Divide and express the result in standard form.
A)
7.
B) 2870
(D)
Perform the indicated operations and write the result in standard form.
√−64 + √−16
A) 12i
B) 32i
C) -12
D) -12i
10. First, write the value(s) that make the denominator(s) zero. Then solve the equation.
=
+ 38
A) x ≠ 0, 2;
B) No restrictions; { 2}
C) x ≠ 0;
11. Find all values of x satisfying the given conditions.
= 8x + 4( 4 + x),
= 3(x – 6) + 10x,
and
A) { -10}
B) { 10}
C) { 34}
D) x ≠ 0; { 4}
=
D) { -34}
12. Use the graph to determine the x- and y-intercepts.
A) x-intercept: -3; y-intercepts: 1, 3
C) x-intercepts: -3, 1; y-intercept: 3
B) x-intercept: 1; y-intercept: 3
D) x-intercept: 3; y-intercepts: -3, 1
13. 20) The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is given
by the formula d =
, where W is the number of joules of work done to move the spring and k is the
spring constant. Solve this equation for W.
Use the result to determine the work needed to move a spring 2 centimeters if it has a spring constant of 0.4.
A) W =
C) W = 2
;
0.8 joules
B) W =
;
20 joules
k;
3.2 joules
D) W =
; 0.2 joules
14. Solve the following quadratic equation using quadratic formula or by completing the square.
𝒚𝟐 + 𝟔𝒚 − 𝟏 = 𝟎
15. Solve the problem.
You inherit $70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must
be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested at each
rate if the total interest earned for the year is to be $4000?
16. Compute the discriminant. Then determine the number and type of solutions for the given equation.
3×2 + 2x = -1