Name: ______Score:______
HW#: 1.1a
Instructions: Perform the indicated operations.
1. 960 32 =
2. 530 53 =
3. 414 69 =
4. 897 39 =
5. 792 66 =
6. 64 19 =
7. 36 12 =
8. 39 10 =
9. 66 20 =
10. 46 13 =
11. 96 – 16 =
12. 56 – 30 =
13. 79 – 47 =
14. 58 – 25 =
15. 71 – 34 =
16. 573 + 137 =
17. 402 + 227 =
18. 563 + 166 =
19. 973 + 975 =
20. 498 + 838 =
21. 517 47 =
22. 900 75 =
23. 475 95 =
24. 572 44 =
25. 551 29 =
26. 89 14 =
27. 68 20 =
28. 21 12 =
29. 100 14 =
30. 56 13 =
31. 83 – 30 =
32. 63 – 27 =
33. 61 – 42 =
34. 51 – 24 =
35. 65 – 42 =
36. 543 + 983 =
37. 726 + 435 =
38. 836 + 768 =
39. 778 + 941 =
40. 676 + 109 =
Name: ______Score:______
HW#: 1.1b
Instructions: Use > , < or = to the following statements
true.
1. 815 ___33.7
2.0.00129 ___2.27
3.0.00696___845
4.0.00274___73.5
5.841 ___6.25
6.3.16___0.0125
7.0.0519___0.0379
8.0.460___0.0633
9.4.00___0.887
10.0.0604___0.151
Name: ______Score:______
HW#: 1.1c
Instructions: Indicate the place value of the underlined
digit.
1. 0.0679 = ______
2.3,364.2 = ______
3.20 = ______
4.93.2 = ______
5.8.6899 = ______
6.62.852 = ______
7.0.0008 = ______
8.0.01 = ______
9.933 = ______
10.72.97 = ______
11.0.025 = ______
12.0.9636 = ______
13.0.6654 = ______
14.0.5647 = ______
15.1.845 = ______
Name: ______Score:______
HW#: 1.2a
Instructions: Determine all the factors of each number.
1. 15
2.32
3.66
4.97
5.50
6.95
7.83
8.45
9.78
10.23
Name: ______Score:______
HW#: 1.2b
Instructions: Determine all the factors of each number and
identify the common factors.
1. 3
10
2. 8
32
3.18
21
4.24
18
5.20
6
6.14
20
7.12
9
8.40
16
9.7
8
10.72
81
Name: ______Score:______
HW#: 1.2c
Instructions: Determine all the factors of each number and
identify the greatest common factor.
1. 80
16
2.10
4
3.54
18
4.8
2
5.24
56
6.81
54
7.18
21
8.8
6
9.40
24
10.20
6
Name: ______Score:______
HW#: 1.2d
Instructions: Identify the following numbers as prime or
composite.
1. 61
2.98
3.42
4.83
5.17
6.46
7.59
8.87
9.12
10.41
Name: ______Score:______
HW#: 1.2e
Instructions: Give the first nine multiples of each
number.
1. 6
2.7
3.4
4.5
5.9
6.2
7.3
8.10
9.8
10.6
Name: ______Score:______
HW#: 1.2f
Instructions: Give the first nine multiples of each number
and then identify the common multiple.
1. 9
2
2.9
5
3.6
5
4.8
9
5.8
6
6.7
5
7.10
4
8.3
9
9.6
7
10.7
8
Name: ______Score:______
HW#: 1.2g
Instructions: Find the least common multiple of each pair
of numbers.
1. 10
8
2.6
4
3.7
9
4.8
4
5.5
9
6.5
6
7.2
3
8.8
3
9.10
7
10.2
4
Name: ______Score:______
HW#: 1.2i
Instructions: Reduce to lowest terms.
1. 14 = ____
12
2.18 = ___
4
3.24 = ___
18
4.8 = ___
4
5.156 = ___
42
6.105 = ___
49
7.91 = ___
35
8.35 = ___
49
9.48 = ___
24
10.111 = ___
21
Name: ______Score:______
HW#: 1.2j
Instructions: Complete the equivalent fractions.
1. 12 = 2
5
2.1 = 4_
16
3.6 = 1
3
4.1 = 3_
12
5.6_ = 1
24
6.__ = 3
2 6
7.8_ = __
20 5
8.8_ = __
10 5
9.18 = 3
30
10.__ = 5
3 15
Name: ______Score:______
HW#: 1.3a
Instructions: Calculate.
1. 1/5 + 1/5 =
2.4/5 + 3/5 =
3.3/4 + 1/4 =
4.2/6 + 2/6 =
5.4/6 + 3/6 =
6.2/4 + 1/4 =
7.2/5 + 3/5 =
8.1/2 + 1/2 =
9.4/5 + 1/5 =
10.1/6 + 5/6 =
Name: ______Score:______
HW#: 1.3b
Instructions: Find the sum.
1. 3/10 + 4/9 =
2.8/9 + 5/10 =
3.4/5 + 2/6 =
4.4/10 + 6/7 =
5.6/9 + 1/4 =
6.5/6 + 3/8 =
7.3/7 + 3/6 =
8.3/6 + 2/10 =
9.2/9 + 6/8 =
10.6/7 + 1/9 =
Name: ______Score:______
HW#: 1.3c
Instructions: Find the sum.
1. 29/8 + 17/6 =
2.8/8 + 11/10 =
3.34/9 + 18/7 =
4.6/10 + 1/4 =
5.1/7 + 11/6 =
6.2/9 + 3/6 =
7.3/6 + 6/5 =
8.17/8 + 2/7 =
9.10/9 + 11/7 =
10.11/9 + 2/6 =
Name: ______Score:______
HW#: 1.3d
Instructions: Find the sum.
1. 5/6 + 2 4/10 =
2.5 1/6 + 3 7/8 =
3.2 4/7 + 5 6/9 =
4.6 4/6 + 5 1/10 =
5.6 1/5 + 5 1/10 =
6.4 6/9 + 7 7/8 =
7.2/8 + 4 3/6 =
8.8 6/10 + 1 3/8 =
9.9 3/8 + 2 3/9 =
10.3 5/10 + 9 6/10 =
Name: ______Score:______
HW#: 1.3e
Instructions: Find the difference.
1. 7/19 – 4/19 =
2.9/15 – 3/15 =
3.18/18 – 2/18 =
4.12/19 – 6/19 =
5.7/16 – 5/16 =
6.2/7 – 1/7 =
7.5/12 – 4/12 =
8.2/15 – 1/15 =
9.2/14 – 1/14 =
10.11/13 – 2/13 =
Name: ______Score:______
HW#: 1.3f
Instructions: Find the difference.
1. 4/5 – 5/7 =
2.16/9 – 5/3 =
3.24/7 – 3/6 =
4.14/3 – 1/9 =
5.24/6 – 23/6 =
6.48/9 – 10/9 =
7.11/9 – 3/7 =
8.38/7 – 31/9 =
9.8/6 – 5/5 =
10.32/7 – 3/9 =
Name: ______Score:______
HW#: 1.3g
Instructions: Find the difference.
1. 10 3/9 – 5 1/3 =
2.8 2/8 – 3 4/9 =
3.1 3/5 – 3/8 =
4.9 3/7 – 5/8 =
5.2 2/4 – 5/6 =
6.9 2/3 – 5 2/9 =
7.8 2/9 – 2 4/6 =
8.9 5/9 – 4 2/9 =
9.1 4/6 – 1/6 =
10.7 2/6 – 3/6 =
Name: ______Score:______
HW#: 1.3h
Instructions: Find the fraction of each number.
1. 17/3 of 65 =
2.1/2 of 4 =
3.12/4 of 4 =
4.1/4 of 8 =
5.3/4 of 10 =
6.30/5 of 23 =
7.23/4 of 5 =
8.12/2 of 27 =
9.10/3 of 6 =
10.18/4 of 93 =
11.How many children have cavities, if in a group of 300 children, 2/3 were found to have cavities when checked by their dentist?
12.How many students passed the test if in a class of 50, 1/9 of the students failed?
Name: ______Score:______
HW#: 1.3i
Instructions: Express as a mixed number.
1. 10/5 =
2.13/4 =
3.25/4 =
4.34/4 =
5.13/4 =
6.7/2 =
7.10/4 =
8.5/2 =
9.10/4 =
10.34/4 =
Name: ______Score:______
HW#: 1.3j
Instructions: Express as an improper fraction.
1. 7 4/5 =
2.7 2/3 =
3.4 3/4 =
4.5 2/3 =
5.8 1/4 =
6.6 3/5 =
7.8 1/2 =
8.6 1/5 =
9.8 1/4 =
10.8 1/3 =
Name: ______Score:______
HW#: 1.4a
Instructions: Calculate.
1. 4/6 3/5 =
2.3/4 3/6 =
3.2/6 3/4 =
4.1/2 1/4 =
5.1/5 2/6 =
6.3/4 1/2 =
7.3/5 4/6 =
8.1/6 4/5 =
9.3/6 3/4 =
10.3/4 5/6 =
Name: ______Score:______
HW#: 1.4b
Instructions: Calculate.
1. 4 1/6 3 1/5 =
2.2 1/6 4 5/6 =
3.1 2/4 4 1/6 =
4.3 4/5 4 1/4 =
5.1/2 4 1/2
6.1 3/6 1/3 =
7.3 2/4 4 2/6 =
8.1/6 4 4/6 =
9.5 3/6 1 2/4 =
10.5 3/6 4 1/3 =
Name: ______Score:______
HW#: 1.4c
Instructions: Calculate.
1. 5/6 2/6 =
2.4/5 5/6 =
3.2/3 4/6 =
4.1/4 3/6 =
5.2/3 3/6 =
6.4/5 5/6 =
7.4/6 2/6 =
8.2/5 1/6 =
9.2/5 2/6 =
10.2/4 3/5 =
Name: ______Score:______
HW#: 1.4d
Instructions: Calculate.
1. 2 4/6 5/6 =
2.2/4 2/6 =
3.3 1/4 1 4/5 =
4.1 3/5 2/4 =
5.5 1/2 3 1/4 =
6.2 1/3 2/4 =
7.5 3/6 1 1/4 =
8.4 4/6 4/6 =
9.5 1/5 4 3/6 =
10.1 2/4 3/4 =
Name: ______Score:______
HW#: 1.5a
Instructions: Perform the indicated operation.
1. 0.59 + 0.85 =
2.0.053 + 0.0090 + 0.00049 =
3.0.00019 + 48 + 100 =
4.0.089 + 0.062 =
5.2.6 + 0.053 + 0.47 =
6.72 + 0.060 =
7.0.031 + 0.00096 + 0.031 =
8.0.54 + 0.48 + 0.69 =
9.65 + 5.7 =
10.0.0091 + 50 + 0.00013 =
Name: ______Score:______
HW#: 1.5b
Instructions: Determine the product.
1. 2.9 0.013 =
2.83 12 =
3.4.7 1.1 =
4.3.4 0.010 =
5.0.008 125 =
6.0.00087 16 =
7.0.017 0.11 =
8.38 0.14 =
9.0.0035 20 =
10.5.0 0.65 =
Name: ______Score:______
HW#: 1.5c
Instructions: Determine the quotients.
1. 0.008 125 =
2.1.16 4 =
3.0.92 9 =
4.0.200 0.03 =
5.2.546 0.002546 =
6.1.44 12 =
7.0.00166 0.10 =
8.0.27 0.009 =
9.68 8 =
10.0.9 0.1 =
Name: ______Score:______
HW#: 1.5d
Instructions: Determine the difference.
1. 0.65 – 0.00031 =
2.5.28 – 3.79 =
3.0.079 – 0.00029 =
4.0.00090 – 0.037 =
5.0.66 – 0.0047 =
6.74 – 0.019 =
7.0.62 – 0.49 =
8.0.0090 – 0.00030 =
9.84 – 0.024 =
10.0.0093 – 0.019 =
Name: ______Score:______
HW#: 1.5e
Instructions: Express as a fraction in lowest terms.
1. 0.75 =
2.0.25 =
3.0.10 =
4.0.50 =
5.0.20 =
6.0.80 =
7.0.07 =
8.0.67 =
9.0.78 =
10.0.49 =
Name: ______Score:______
HW#: 1.5f
Instructions: Express as a decimal rounded to the nearest
thousandth.
1. 1/4 =
2.1/2 =
3.1/3 =
4.2/100 =
5.1/2 =
6.1/10 =
7.1/5 =
8.3/60 =
9.2/3 =
10.1/8 =
Name: ______Score:______
HW#: 1.6a
Instructions: Express as a percent.
1. 6/9 =
2.4/20 =
3.4/6 =
4.9/12 =
5.5/8 =
6.7/20 =
7.4/16 =
8.1/4 =
9.14/15 =
10.9/12 =
Name: ______Score:______
HW#: 1.6b
Instructions: Express as a fraction.
1. 15% =
2.90% =
3.14% =
4.10% =
5.5% =
6.16% =
7.17% =
8.25% =
9.20% =
10.6% =
Name: ______Score:______
HW#: 1.6c
Instructions: Express as a percent.
1. 1.1 =
2.4.5 =
3.0.005 =
4.0.041 =
5.0.32 =
6.0.001 =
7.4.2 =
8.0.049=
9.4.0 =
10.0.032 =
Name: ______Score:______
HW#: 1.6d
Instructions: Express as a decimal.
1. 18% =
2.11% =
3.6% =
4.16% =
5.13% =
6.17% =
7.12% =
8.8% =
9.10% =
10.5% =
Name: ______Score:______
HW#: 1.7a
Instructions: Calculate.
1. 65 + 61 = _____
2.93 + 73 = _____
3.23 + 20 = _____
4.-8 – 2 = _____
5.-8 + 30 = _____
6.-9 – 4 = _____
7.-2 – 8 = _____
8.36 + 65 = _____
9.-5 – 2 = _____
10.-6 + 5 = _____
11.-5 – 5 = _____
12.97 - 23 = _____
13. -72 + 66 = _____
14.-7 – 5 = _____
15.-7 + 2 = _____
16. -94 + 75 = _____
17.-1 – 2 = _____
18.42 + 16 = _____
19.-5 – 1 = _____
20. 13 + -28 = _____
21.(-46) – (+365)= _____
22.-43 + 30 = _____
23.-3 – 3 = _____
24. (-87) – (-100)= _____
25. (+80) – (-50)= _____
Name: ______Score:______
HW#: 1.8a
Instructions: Calculate.
1. 65 61 = _____
2.93 73 = _____
3.-350 -50 = _____
4.-8 -2 = _____
5.-8 30 = _____
6.-9 -4 = _____
7.-2 -8 = _____
8.36 65 = _____
9.-5 -2 = _____
10.-6 5 = _____
11.84 -2 = _____
12.-6 2 = _____
13.132 4 = _____
14.81 -1 = _____
15.-20 -5 = _____
16.-18 -9 = _____
17.-0.5 -1 = _____
18.-0.9 -0.1= _____
19.(-24) (-6)= _____
20.15 (-3) = _____
Name: ______Score:______
HW#: 1.9a
Instructions: Evaluate.
1. 7 + 35 7 7 = ____
2.7 + 100 10 + 6 – 6 + 2 6 = _____
3.8 + 9 – 16 + 4 – 5 – 6 + 1 = _____
4.17 – 2 – 4 – 4 – 4 = _____
5.45 + (-22) + (+14) + (-30) = _____
6.93.8 – 16.4327 – 20.3673 = _____
7.(-23) + (13) – (-46) – (10) + (37) = _____
8.3 + 3 10 – 2 2 + 6 4 = _____
9.41 – 10 – 8 – 5 – 4 – 10 = _____
10.72 -3 -8 = _____
11.(-6)(4)(-7) = ______
(-12)(-2)
12.(-3)(-3)(-3) = ______
13.(-6)(+4)(-7) = ______
(-12)(-2)
14.(+36)(-18)(+5) = ______
(-24)(-15)(3)
15.(-2)(+3)(-1)(+5)(+2) = ______
Name: ______Score:______
HW#: 1.9b
Instructions: Evaluate.
1. 4 + 2(9 – 6) = _____
2.-41 –[4 + 6(2 – 7)– 3] = _____
3.5 –[5-{5-(5-[5 + 5])}] = _____
4.3 –{1-[1 –(1 + 2)]} = _____
5.2 –[1 + 2 –(3 – 1) + 2]- 3 = _____
6.-4 [-7 – (-10)] = _____
7.-8 + 1 – (-2 + 1) = _____
8.-1 + (-3) [11 – (-2)] + 72 (6 + 2) = _____
9.6 (-4) 4 (-8) (-8) = _____
10.(10 + 6) 2 0 = _____
Name: ______Score:______
HW#: 1.10a
Instructions:
Determine the degree of the following polynomial.
1. 4x3 – 6x2 + 2x + 1
2.-12A6
3.4x4 – 6x – 3
4.12y4z2
5.5x2y + 6xy2 – 7x2y2
6.5xy + 6x – 7y
7.s2t2 + 3ts – 4t3 + 5s4t
8.-3xz3 + z3 – x3 + 4x2z3
9.9x5y3z
10.3y3 + 4y2 + 8
11.-4x3 + 5x2 + 3x2 + 4x3 – 7
12.5x4y5 + 7x3y2 – x4y5 – x3y2 – 4x4y5 – xy + 3
13.2a2b3 – a2b + ab
14.-16x8
15.456
16.21Q3R5S7
17.-3xy2z3
18.-6x3y7
19.3x5 – 3x3y2 + 7y3 – 9
20.-3y3 + 6y2 + 2y2 + 3y3 – 8
Arrange the polynomial in descending order.
1.6 – x + 4x2 – x4
2.16x3 + x4 – 3x5 + x + 1
3.1/2 – y2 + 3y3 – 8y
4.(3/2)y – (1/2)y3 + (2/3)y4 – 4
5.9x8 + 5x2 – 5x4 + 6x3
Arrange the polynomial in descending powers of t.
1.st – st2 + 2st3
2.5t – 1 + s2t3 – s3t4
3.xt + 3t – 5x2t2 + t3
Add:
1.4x3 + 3x2 – 1 and 6x3 – 3x2 + x + 5
2.3x3 – 6x2 + 2 and –8x2 + 2x + 3
3.4x5 – 3x2 + 2x + 3 and –4x4 + 3x2 – 3x – 4
4.5x2y + 6xy2 – 8xy and 4xy – 8x2y + 6xy2
5.(4x2y2 + 3y2 – 4x2 and 6x2y – 4x2 + 3x2y2
6.(-B2 – 6B + 4) + (5B2 + 7B – 9)
Subtract:
1.(3y2 – 1 + 2y) – (9y2 + 3 – 9y) – (3y –4 – 2y2)
2.(8x3 – 4x2 + 1) – (5x3 + 2x + 3)
3.(4x3 – 8x2 + 2x) – (-2x3 + 3x2 – 3)
4.(x3 – 2x2 – x + 1) – (-2x3 – 3x2 + 4x + 2)
5.(8t3 – 4st2 + s2t2) – (4st2 + 2s2t2 – t3)
6.(5x2y – 6xy2 – 8xy) – (4x2y – 3xy + 3)
Name: ______Score:______
HW#: 1.11a
Instructions:
Combine like terms.
1. 5a + 3a = ______
2.2b – 9b = ______
3.3x + x = ______
4.-s + 4s = ______
5.-4x + y – 2x = ______
6.9z + 8x – z = ______
7.4a + 3b – 9a – 9b = ______
8.8p + 7q + p + q = ______
9.4x2 – 5y3 + x2 = ______
10.6a2 – 2b3 + 3a2 = ______
11.y –(6y – 4)- 9 = ______
12.9xz4 – 8yx3 – z4x – x3y = ______
13.-yx2 – xy2 + 2x2y + 2y2x = ______
14.5x2 + 6x – 8 –(x2 – 6x – 4) = ______
15.x + 5x + y – 3y = ______
16.-1z + 2x + 3z – 1x = ______
17.-y + 2y + y = ______
18.3a – 2 + 4a + 7 = ______
19.2b + (a – b) = ______
20.4c2 – 5cd – 3c2 + 6cd – d2 = ______
21.-7ABC + 7CBA = ______
22.(x4 – 6yx + 3xy2) + (-5x2y – 3y2x) = ______
23.2a –(-4b + 3bc) = ______
24.2b + (a – b) = ______
25.2a –[x +(x – 3a) – (9a – 5x)] = ______
26.3x + [2x – 4y(6 – 4x)] + 2y –(3 – x + 3y) = ______
27.-a +[-a – (2a + 3)] + 3 = ______
28.(7x – 3ay) – (4a – b) + 16 = ______
29.a2 –(a2 – 6) = ______
30.a2 +(a2 – 6) = ______
Name: ______Score:______
HW#: 1.12a
Instructions:
Use the laws of exponents to simplify. (Use positive exponents only)
1. 24 (26)
2.103 (109)
3.x6 (x3)
4.y-6 (y8)
5.z-2 (z-1)
6.a-3 (a)
7.105
106
8.25
23
9.x5
x
10.y6
y8
11.a-3
a-6
12.z-5
z
13.x4
x-3
14.x
x-2
15.(103)2
16.(53)1
17.(x-2)h
18.(y5)-2
19.(z3)-1
20.(a-3)-1
21.(3x)5
22.(2a3b5)3
23.x4 x-22
y-3 y5
24.8x-5y-6-1
3x3y
25.2a3b42
3a5b5
26.am an
27.r-4 t5
28.Am
An
29.[(-b)2]y
30.(an)2
31.x(2a)
32.(2ab)(3a2)(2b3)
33.(3a3b)2
34.6ab
3a
35.6ba
3a
HW#: 1.13a
Multiply.
1. (3x)(4x3)
2.(-2a2b)(-4ab2)
3.4x(x + 5)
4.-2y (y2 + 3y)
5.5x3 (-2x4 + 3x2 + 1)
6.(-5A2B3)2
7.(-3y)3
8.(-2y)3
9.-(a2)y
10.-3b2c5(-b4c3 – 3bc – c2)
11.-3x3(4x-2 + 6x – x0)
12.2a (a – b)
13.4a2(a2 + 5a + 2)
14.(2A2B3C4)3
15.(3A2)(4A3)
16.7AB3(5A2B – 6A3B4 + A-1B-3)
17.-3y3(5y-2 + 9y – y0)
18.4a2(a2 + 5a + 2)
Divide.
14.6x + 2
3
15.8x3 + 4x2
2x
16.15x5 – 6x3 + 4x2
-3x2
17.15x5 – 6x3 + 4x2
-3x2
18.2a2 – 4ab2 + 6ab
-ab
19.36x9
9x3
20.64x7 – 48x5 + 36x3
8x4
21.27x-3 + 30x2 – 21x-2
3x
22.2ax + aby + a
a
23.18ab2 – 12bc
6b
24.14a3b3x
-21a2b5x
25.(-4x)2
2
26.28x5 – 49x3
7x-3
27.24x-4 – 36x-5
6x-5
28.2ax + aby + a
a
29.12x-3 + 18x2 – 6x-2
3x
30.12x3 + 18x – 6
3
Name: ______Score:______
HW#: 1.14a
Instructions: Solve the following equations.
1.7d = d + 48
2.81 + h = 10h
3.-6 – X = -7
4.X – 3 = 12
5.162 + h = 19h
6.t – 5 = 4
7.10 – s = 7
8.18 + r = 4r
9.X + 5 = -5
10.X + 14 = 24
Name: ______Score:______
HW#: 1.14b
Instructions: Solve the following equations.
1.2x + 4 = 16
2.3x – 4 = 11
2
3.-22 = -11
x
4.4(x-3) – 2x = 1
9 3
5.x + 6 = 2x + 5
6.4(x+2) = 30-(x-3)
7.-11 = x
9
8.-6 - x = -7
9.5x = 35
10.-11 = -33
x
11.x = 10
5
12.2x + 4 = 16
13.1x = 6
6
14. (3/5)x + 2 = (1/5)x +10
15.x – 1 = 1/2
16.4 – 7x = 9 – 8x
17.X – 2x = 25 + x17
2
18.x + 3x = 7
4
Name: ______Score:______
HW#: 1.14c
Instructions: Solve the following equations.
1.9x = x + 128
2.-4x + 3 = 35
3.38 – 10x = 8
4.-4x – 4 = 44
5.9 = -1 + 5x
6.13 = -11 + 3s
7.-10r + -3 = -83
8.5 = 3x – 7
9.20 = -9x + 2
10.-7 = 65 – (-12s)
Name: ______Score:______
HW#: 1.15
Instructions:
Write the following numbers in scientific notation:
1.0.071 = ______
2.8890000 = ______
3.0.05 = ______
4.53780 = ______
5.0.0089 = ______
6.6283 = ______
7.84000 = ______
8.45,000,000 = ______
9.0.0000530 = ______
10.5,000,000 = ______
11.53,000,000 = ______
Write the following scientific notation number in standard form:
1.9.570 x 100 = ______
2.8.12 x 10-2 = ______
3.5.3 x 10-4 = ______
4.3.139 x 103 = ______
5.9 x 10-3 = ______
6.2.227 x 105 = ______
7.2.4 x 10-2 = ______
8.6.5 x 102 = ______
9.8.4 x 10-2 = ______
10.7 x 10-2 = ______
11.5.9 x 102 = ______
Perform the indicated operations.
1.10x = ______
10y
2.10m 10n = ______
3.100 100 = ______
4.100 101 = ______
5.102 103 = ______
6.(2.5 x 108)(5.0 x 10-5) = ______
7.(2.5 x 108)÷(5.0 x 10-5) = ______
8.(2.5 x 108)+(5.0 x 10-5) = ______
9.(2.5 x 108)-(5.0 x 10-5) = ______
10.1.44 x 107 = ______
0.04 x 10-5
11.(0.45 x 103)(2.4 x 103) = ______
Think of three (3) actual numbers (measurements, quantities, etc) where the use of scientific notation is beneficial.
Name: ______Score:______
HW#: 1.16a
Instructions: Solve the formula for the given letter:
1.Solve for m. F = ma
2.Solve for d. C = d
3.Solve for b. A = 1/2 (bh)
4.Solve for w. P = 2L + 2w
5.Solve for r. I = Prt
6.Solve for r. V = 4/3(r3)
7.Solve for h. A = 1/2(ah + bh)
8.Solve for P. A = P (1 + rt)
9.Solve for z. M = x + y + z
3
10.Solve for b2. C2 = a2 + b2
11.Solve for a. C2 = a2 + b2
12. Solve for g. s = 1/2(gt2)
13.Solve for C. F = 9/5(C) + 32
Word Problems:
1.What exposure time would be required to produce 50mAs, if 400mA has been selected for a particular exposure?
(mAs = mA (s) time in seconds)
2.What is the total resistance in a parallel circuit, if it contains three resistive elements having values of,
R1 = 4, R2 = 10, and R3 = 20 ohms? (1 = 1_ + 1_ + 1_ .)
Rtotal R1 R2 R3
3.What is V equal to in terms of Q and C, if C = Q/V ?
Name: ______Score:______
HW#: 1.17a
Instructions: Solve the following proportion
1.x = 12
1 3
2.2 = 6_
x 18
3.1 = x
8 8
4.3 = 3
2 x
5.13 = 26
1 x
6.2 = 24
? 12
7.8_ = x
12 3
8.?_ = 3
21 9
9.5 = 485
x 97
10.4 = 8_
x 20
11.10 = 5
x
12.6 = x
2
13.x = 2
1
14.5 = x
1
15.2x = 10
3 1
Name: ______Score:______
HW#: 1.18a and 1.19a
Instructions: Solve the variation problems:
1.The distance (d) a truck travels varies directly with the time (t). If the truck travels 300 km in 3 hours, how far will it travel in 2 hrs.?
2.The number of calculations (n) a computer can make varies directly with time (t). If 30,000 calculations can be made in 5 seconds, how many can be earned in 3 seconds?
3.The amount of money (A) earned by a car dealer varies directly with the number (N) of cars sold. If $1,250 is earned for 10 cars sold, how much will be earned for 7 cars sold?
4.The weight (w) of a wire varies directly with its length (L). If 30 ft. of wire weighs 1.5 pounds, how much will 50 ft. of wire weigh?
5.The amount of money (A) earned by a person varies directly with the time (t) worked. If a person earns $105 in 15 hrs., how much will the person earn in 26 hrs.?
6.The distance (d) an object falls (in a vacuum) varies directly with the square of the time (t2). If the object falls 64 ft. in 2 seconds, how far will it fall in 4.5 seconds? (Hint: the variation equation is d = kt2.)
7.Suppose a variable y varies inversely with avariable x. If y = 12 when x = 10, find y when x = 6.
8.In a certain country where the rich gets richer and the poor gets poorer, income tax (T) varies inversely with income (I). If the tax on an income of $8,000 is $500, find the tax on an income of $40,000.
9.The attraction (F) between two objects varies inversely with the square of the distance (d2) between them. The attraction between two objects is a force measuring 8 when they are 100 ft. apart. Find the attraction when the distance is 1,000 feet.
(Hint: F = k/d2).
10.Suppose a variable M varies inversely with a variable T. If M = 3.5 when T = 4, find M when T = 21.
The efficiency of a grid is also known as the grid ratio. Grid ratio is defined as the height of the lead strips divided by the distance between each lead strip.
G = h/d.
where:G = grid ratio
h = height of the lead strips
d = distance between each lead strip
16.What is the grid ratio if a certain grid is made of 3/100 mm thick lead strips and is sandwiched between fiber interspaced material 3/10 mm thick and the height of the grid is 12/5 mm ?
17.What is the value of t equal to given the proportion,
9 = 3 ?
t 2
18.What is the value of x equal to, given the proportion,
20 = 2 ?
2x 5
19.What is the value of x in the proportion,
x:9 :: 5:15 ?
20.What is the value of x in the proportion,
x_ = 4 ?
2a a
The product of milliamperage (mA) and the time factor expressed in seconds, results in mAs (milliamperage seconds). Radiographic density is directly proportional to mAs, which means that an increase or decrease in mAs results in a corresponding change in radiographic density.
21.Which of the following factors would produce the greatest radiographic density?
a.100mA, 1/4sec, 36in.
b.200mA, 1/2sec, 36in.
c.50ma , 1 sec, 36in.
d.400mA, 1/20sec,36in.
The electromotive force (voltage) induced in the secondary
coils of the transformer is directly proportional to the
number of turns in the coils in the secondary side of the
transformer. This relationship is given by the following
formula:
Vp = Np
Vs Ns
Where:Vp = primary voltage
Vs = secondary voltage
Np = number of turns in the primary
Ns = number of turns in the secondary
22.What will be the voltage in the secondary winding of the transformer, if there are 125 turns on the primary side of a transformer, 90,000 turns on the secondary side. The voltage supplied to the primary winding is equal to 110V?
INVERSE SQUARE LAW:
The change in beam intensity (amount of radiation that will
cause exposure to the patient) and/or radiographic density
(film blackening) varies inversely with the square of the
distance and is express in the following formula:
I1 = (d2)2
I2 (d1)2
Where:I1 = intensity at distance d1
I2 = intensity at distance d2
23.What would the new dosage to the patient be if the amount of radiation reaching a patient at 40in. is 3 R and the distance were increased to 60in.?
24.What is the missing value if (x1, y1) and (x2, y2) are ordered pairs of an inverse variation problem and
x1 = 3, y1 = 54, x2 = 2 and y2 =?
25.What is the missing value if (x1, y1) and (x2, y2) are ordered pairs of an inverse variation problem and
x1 = 2, y1 = 54, x2 = 3 and y2 =?