MATHS
Q1. Write the partial fraction decomposition of the rational expression.
a. +
b. +
c. +
d. +
Q2. Find the inverse of the matrix.
a. No inverse
b.
c.
d.
Q3. Solve the system using the inverse method.
a. x = 1, y = -2
b. x = -2, y = 1
c. x = -1, y = 2
d. x = 2, y = -1
Q4. Perform the indicated operation, whenever possible.
+
a.
b.
c.
d.
Q5. Use Cramer’s rule to solve the linear system.
a. x = 2, y = 4
b. x = 4, y = 2
c. x = -2, y = 4
d. x = -4, y = -2
Q6. Find the inverse of the matrix.
A =
a.
b.
c.
d.
Q7. Rob bought 2 pairs of shorts, 3 shirts and a pair of shoes for $146.64. Jessie bought 3 pairs of shorts, 5 shirts and 2 pairs of shoes for $256.35. Allen bought a pair of shorts and 4 shirts for $104.07. What is the price of a pair of shorts? Express answer rounded to two decimal places.
a. $14.55
b. $50.40
c. $22.38
d. $10.30
Q8. A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15 inches longer than the width. Find the width.
a. 31 inches
b. 38 inches
c. 8 inches
d. 23 inches
Q9. Find the inverse of the matrix.
a.
b.
c.
d.
Q10. Solve the system of equations.
a. x = 0, y = 1, z = 0
b. x = 1, y =1, z = 1
c. x = 0, y = 1, z = -1
d. x = 0, y = 0, z = 1
Q11. Write the partial fraction decomposition of the rational expression.
a. +
b. +
c. +
d. + +
Q12. Perform the indicated operation, whenever possible.
–
a. [-2]
b.
c.
d.
Q13. Use the properties of determinants to find the value of the second determinant, given the value of the first.
Given > = 3, find the value of >.
a. -24
b. -3
c. 24
d. 3
Q14. An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city?
a. 153 miles
b. 168 miles
c. 147 miles
d. 132 miles
Q15. The Family Fine Arts Center charges $21 per adult and $12 per senior citizen for its performances. On a recent weekend evening when 486 people paid admission, the total receipts were $6894. How many who paid were senior citizens?
a. 208 senior citizens
b. 368 senior citizens
c. 118 senior citizens
d. 278 senior citizens
Q16. A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second group bought 7 slices of pizza and 6 soft drinks for $30.30. How much does one slice of pizza cost?
a. $2.26 per slice of pizza
b. $2.76 per slice of pizza
c. $2.33 per slice of pizza
d. $1.83 per slice of pizza
Q17. Solve the system.
a. inconsistent (no solution)
b. (-9, 0)
c. (0, 0)
d. y = – – 9, where x is any real number
Q18. Solve the system using the inverse method.
a. x = -36, y = -38, z = -14
b. x = -14, y = 88, z = -32
c. x = -60, y = 82, z = -34
d. x = 8, y = 24, z = 10
Q19. Use the properties of determinants to find the value of the second determinant, given the value of the first.
= -44 = ?
a. -44
b. 44
c. 88
d. -88
Q20. A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many of them were adults?
a. 16 adults
b. 10 adults
c. 29 adults
d. 24 adults
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