CHAPTER TEST lA
1. Write explicitly the elements of the set of all integers
n such that -5.1 < n < 0.3.
2. On the real number line, draw the graph of the set of real
numbers x such that -5.1 < x < 0.3.
In Problems 3-6 evaluate the given expression.
6 - (-4)I - 1 - 6 + 4 1
3.
|6| - |4|
\t - 4|s
4. ri—; when s = -2 and t = -1.
5. 4 - 8 2 - 5(2 + (-1) 2 )
1- + -
9 5
6.
_L _ i
15 9
In Problems 7 and 8 perform the indicated operations and simplify.
7. -2(4-2/ - 3x + 5z) - 2{2x - z+ 4)
8. (4z - 3ΐΰ + 1) (w - 2z + 5)
In Problems 9 and 10 factor completely using only integer
coefficients.
9. -3x2 + 4x + 32
4
m -,2 /- 2zy + 1 4 \
10. a: 2/ - 3z/* -Λ 4 i-7 + - ^ j
In Problems 11-14 simplify.
2x + Sx - 3
11.
-x - 2x + 3
12. -x 2 + a: + 2
Λ?2 - 7x + 12 x 2 + 2x - 15
4a; - 1 x
13.
2x + 5 2 - a;
3x 5__
X - 2 x + 1
14.
1 +
15. Write the following as the ratio of two polynomials:
1
(X - 1) + 1
- 3
X + X
1
, CHAPTER TEST 1A
In Problems 16 and 17 simplify,
16. (.64) "k/Z
/i\"3/2
17
18.
* U)
Rationalize the denominator:
/6 - JÏ
19. Perform the indicated operation and write your answer
using only positive exponents:
x Wx3 + Jx
20. Simplify and combine:
3(23A) - 2 7 Λ
+ 2llA
In Problems 21-23 write the expression in the form a + bi.
21. (i + 3)(4 - i)
3
22. (2 - i)
23. 1^4
4 - %
2
, CHAPTER TEST IB
1. Write explicitly the elements of the set of all natural
numbers n such that 1.4 < n < 3.8.
2. On the real number line, draw the graph of the set of
real numbers x such that 1.4 < x < 3.8.
In Problems 3-6 evaluate the given expression.
3.
4. when s= -3 and t = 5
5. 6 - 4 -r (2 + 2 · 3)
_9_ j4
10 "" 7
6.
1 1
îï + 5
In Problems 7 and 8 perform the indicated operations and simplify.
7. (x + 9x2 + 5x3 - 4) - 2(4 + Sx - 9y)
8. (-3W - 1){-2W + 1)
In Problems 9 and 10 factor completely using only integer coefficients.
9. 2x2 - 3x - 9
10. 4x2yz3 + 3yz3x - yz3
In Problems 11-14 simplify.
11.
12.
z - 2
13.
4 +
14.
3x
15. Write the following as the ratio of two polynomials:
^ 3 „ -l
2x - 3x
-2
x +1
3
, CHAPTER TEST IB
In Problems 16 and 17 simplify.
-k/5
16. (32) '
17.
(àf
18. Rationalize the denominator:
x2 -_ y
x + Jy
19. Perform the indicated operations and write your answer
using only positive exponents:
/2x
1/3
X + X
20. Simplify and combine:
l/5
3^1/5 + 6/-
3^6/5 _ 3.
0l l / 5
In Problems 21-2 3 write the expression in the form a + bi.
21. (4 - 2i) (6 - i)
22. (2i + 3 ) 3
23. i^ii
^ -6
4
1. Write explicitly the elements of the set of all integers
n such that -5.1 < n < 0.3.
2. On the real number line, draw the graph of the set of real
numbers x such that -5.1 < x < 0.3.
In Problems 3-6 evaluate the given expression.
6 - (-4)I - 1 - 6 + 4 1
3.
|6| - |4|
\t - 4|s
4. ri—; when s = -2 and t = -1.
5. 4 - 8 2 - 5(2 + (-1) 2 )
1- + -
9 5
6.
_L _ i
15 9
In Problems 7 and 8 perform the indicated operations and simplify.
7. -2(4-2/ - 3x + 5z) - 2{2x - z+ 4)
8. (4z - 3ΐΰ + 1) (w - 2z + 5)
In Problems 9 and 10 factor completely using only integer
coefficients.
9. -3x2 + 4x + 32
4
m -,2 /- 2zy + 1 4 \
10. a: 2/ - 3z/* -Λ 4 i-7 + - ^ j
In Problems 11-14 simplify.
2x + Sx - 3
11.
-x - 2x + 3
12. -x 2 + a: + 2
Λ?2 - 7x + 12 x 2 + 2x - 15
4a; - 1 x
13.
2x + 5 2 - a;
3x 5__
X - 2 x + 1
14.
1 +
15. Write the following as the ratio of two polynomials:
1
(X - 1) + 1
- 3
X + X
1
, CHAPTER TEST 1A
In Problems 16 and 17 simplify,
16. (.64) "k/Z
/i\"3/2
17
18.
* U)
Rationalize the denominator:
/6 - JÏ
19. Perform the indicated operation and write your answer
using only positive exponents:
x Wx3 + Jx
20. Simplify and combine:
3(23A) - 2 7 Λ
+ 2llA
In Problems 21-23 write the expression in the form a + bi.
21. (i + 3)(4 - i)
3
22. (2 - i)
23. 1^4
4 - %
2
, CHAPTER TEST IB
1. Write explicitly the elements of the set of all natural
numbers n such that 1.4 < n < 3.8.
2. On the real number line, draw the graph of the set of
real numbers x such that 1.4 < x < 3.8.
In Problems 3-6 evaluate the given expression.
3.
4. when s= -3 and t = 5
5. 6 - 4 -r (2 + 2 · 3)
_9_ j4
10 "" 7
6.
1 1
îï + 5
In Problems 7 and 8 perform the indicated operations and simplify.
7. (x + 9x2 + 5x3 - 4) - 2(4 + Sx - 9y)
8. (-3W - 1){-2W + 1)
In Problems 9 and 10 factor completely using only integer coefficients.
9. 2x2 - 3x - 9
10. 4x2yz3 + 3yz3x - yz3
In Problems 11-14 simplify.
11.
12.
z - 2
13.
4 +
14.
3x
15. Write the following as the ratio of two polynomials:
^ 3 „ -l
2x - 3x
-2
x +1
3
, CHAPTER TEST IB
In Problems 16 and 17 simplify.
-k/5
16. (32) '
17.
(àf
18. Rationalize the denominator:
x2 -_ y
x + Jy
19. Perform the indicated operations and write your answer
using only positive exponents:
/2x
1/3
X + X
20. Simplify and combine:
l/5
3^1/5 + 6/-
3^6/5 _ 3.
0l l / 5
In Problems 21-2 3 write the expression in the form a + bi.
21. (4 - 2i) (6 - i)
22. (2i + 3 ) 3
23. i^ii
^ -6
4
