TEST BANK
** All Chapters included
,Table of Contents are given below
1. Algebra Review
2. Functions and Graphs
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions
6. Trigonometric Identities and Equations
7. Additional Topics in Trigonometry
8. Systems of Equations and Inequalities
9. Conic Sections
10. More Topics in Algebra
,Precalculus Chapter 1 Form A Page 1
Name______________________________ Section________________
Instructor___________________________ Date__________________
Directions: Show your work neatly and clearly, and circle you answers when possible.
1.
Which of the numbers in the set −9, 3,3.14, ,39 are rational?
2. Name the property illustrated by the equality ( 3 + 5) + 9 = ( 5 + 3) + 9 .
3. Evaluate, without using a calculator:
(
6 - 2 3+ 42 + 7)
-32 + 4
4. Evaluate the expression -2x3 + 5x -1 for x = -2 .
For problems 5 and 6, simplify the following expression and write your answer using positive
exponents:
2
5. (
- 5a-2b3 )
æ 10x1/2 y-1/3 ö
6. ç 3/2 - 2/3 ÷
, x, y > 0
è 25x y ø
2/5
7. Simplify, without using a calculator: ( -32 )
8
8. Rationalize the denominator:
4+ 3
For problems 9, 10 and 11, factor each expression completely:
9. 3x2 − 48
10. 10 x2 − x − 21
11. 24 x3 − 81
, Precalculus Chapter 1 Form A Page 2
For problems 12, 13, and 14, perform the indicated operations and simplify:
2 x 2 + 3x − 2 2 x 2 − 32
12.
x2 + 6x + 8 6 x − 3
x+2 2x
13. − 2
x + 2x + 1 2x + x − 1
2
3 2
+
14. x−4 x
3 2
−
x x−4
15. Solve the following inequality and express your answer using interval notation:
3x − 5
−4 5
2
1
16. Solve: 4 x − =2
3
17. Solve the following equation using the quadratic formula: 3x2 − 4 x − 2 = 0
18. Solve the following inequality and express your answer using interval notation:
3x − 5 − 2 1
19. Find all real solutions:
20. The height of a ball after being dropped from a point 64 feet above the ground is given by
h = −16t 2 + 64 , where t is the time in seconds since the ball was dropped and h is in feet.
When will the ball hit the ground?
** All Chapters included
,Table of Contents are given below
1. Algebra Review
2. Functions and Graphs
3. Polynomial and Rational Functions
4. Exponential and Logarithmic Functions
5. Trigonometric Functions
6. Trigonometric Identities and Equations
7. Additional Topics in Trigonometry
8. Systems of Equations and Inequalities
9. Conic Sections
10. More Topics in Algebra
,Precalculus Chapter 1 Form A Page 1
Name______________________________ Section________________
Instructor___________________________ Date__________________
Directions: Show your work neatly and clearly, and circle you answers when possible.
1.
Which of the numbers in the set −9, 3,3.14, ,39 are rational?
2. Name the property illustrated by the equality ( 3 + 5) + 9 = ( 5 + 3) + 9 .
3. Evaluate, without using a calculator:
(
6 - 2 3+ 42 + 7)
-32 + 4
4. Evaluate the expression -2x3 + 5x -1 for x = -2 .
For problems 5 and 6, simplify the following expression and write your answer using positive
exponents:
2
5. (
- 5a-2b3 )
æ 10x1/2 y-1/3 ö
6. ç 3/2 - 2/3 ÷
, x, y > 0
è 25x y ø
2/5
7. Simplify, without using a calculator: ( -32 )
8
8. Rationalize the denominator:
4+ 3
For problems 9, 10 and 11, factor each expression completely:
9. 3x2 − 48
10. 10 x2 − x − 21
11. 24 x3 − 81
, Precalculus Chapter 1 Form A Page 2
For problems 12, 13, and 14, perform the indicated operations and simplify:
2 x 2 + 3x − 2 2 x 2 − 32
12.
x2 + 6x + 8 6 x − 3
x+2 2x
13. − 2
x + 2x + 1 2x + x − 1
2
3 2
+
14. x−4 x
3 2
−
x x−4
15. Solve the following inequality and express your answer using interval notation:
3x − 5
−4 5
2
1
16. Solve: 4 x − =2
3
17. Solve the following equation using the quadratic formula: 3x2 − 4 x − 2 = 0
18. Solve the following inequality and express your answer using interval notation:
3x − 5 − 2 1
19. Find all real solutions:
20. The height of a ball after being dropped from a point 64 feet above the ground is given by
h = −16t 2 + 64 , where t is the time in seconds since the ball was dropped and h is in feet.
When will the ball hit the ground?
