PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 3.1, Problem 44E
Translate each phrase into an expression with integers. Do not simplify.
a. the opposite of 11
b. the opposite of -4
c. negative nine
d. 8 minus negative 2
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Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
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Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
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○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
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Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
7
4
3
13
-9
8
-17
7
☐ B.
0
-8
3
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0
☐
D.
-5
☐ E.
3
☐ F.
4
TH
Chapter 3 Solutions
PREALGEBRA
Ch. 3.1 - TRY IT:: 3.1 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3.2 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3 Order each of the following pairs of...Ch. 3.1 - TRY IT:: 3.4 Order each of the following pairs of...Ch. 3.1 - TRYIT:: 3.5 Find the opposite of each number: a. 4...Ch. 3.1 - TRY IT:: 3.6 Find the opposite of each number: a....Ch. 3.1 - Try IT:: 3.7 Simplify: (1)Ch. 3.1 - Try IT:: 3.8 Simplify: (5)Ch. 3.1 - TRY IT:: 3.9 Evaluate n: a. when n=4 b. when n=4Ch. 3.1 - TRY IT:: 3.10 Evaluate: m: a. when m=11 b. when...
Ch. 3.1 - Try IT:: 3.11 Simplify: a. |12| b. |28|Ch. 3.1 - TRYIT:: 3.12 Simplify: a.|9| b.(b)-|37|Ch. 3.1 - TRYIT:: 3.13 Evaluate: a. |x|when x=17 b. |y|when...Ch. 3.1 - TRY IT:: 3.14 a. |y|when y=23 b. |y|when y=21 c....Ch. 3.1 - TRY IT:: 3.15 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.16 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.17 Simplify: a. |129| b. 3|6|Ch. 3.1 - TRY IT:: 3.18 Simplify: a. |2716| b. 9|7|Ch. 3.1 - TRY IT:: 3.19 Simplify: |1+8||2+5|Ch. 3.1 - TRY IT:: 3.20 Simplify: |95||76|Ch. 3.1 - TRY IT:: 3.21 Simplify: 19|114(31)|Ch. 3.1 - TRY IT:: 3.22 Simplify: 9|84(75)|Ch. 3.1 - TRY IT:: 3.23 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.24 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.25 Translate into an expression with...Ch. 3.1 - TRY IT:: 3.26 Translate into an expression with...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, simplify. -(-4)Ch. 3.1 - In the following exercises, simplify. -(-8)Ch. 3.1 - In the following exercises, simplify. -(-15)Ch. 3.1 - In the following exercises, simplify. -(-11)Ch. 3.1 - In the following exercises, evaluate. mwhen a. m=3...Ch. 3.1 - In the following exercises, evaluate. pwhen a. p=6...Ch. 3.1 - In the following exercises, evaluate. cwhen a....Ch. 3.1 - In the following exercises, evaluate. dwhen a....Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - 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Elevation The highest elevation in the United...Ch. 3.1 - Extreme temperatures The highest recorded...Ch. 3.1 - State budgets In June, 2011, the state of...Ch. 3.1 - College enrollments Across the United States,...Ch. 3.1 - Give an example of a negative number from your...Ch. 3.1 - What are the three uses of the “-” sign in...Ch. 3.2 - TRY IT :: 3.27 Model the expression. 2+4Ch. 3.2 - TRY IT : : 3.28 Model the expression. 2+5Ch. 3.2 - TRY IT :: 3.29 Model the expression. 2+(4)Ch. 3.2 - TRY IT :: 3.30 Model the expression. 2+(5)Ch. 3.2 - TRY IT :: 3.31 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.32 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.33 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.34 Model the expression: (2)+5Ch. 3.2 - TRY IT :: 3.35 Model each addition. a. 3+4 b. 1+4...Ch. 3.2 - TRY IT :: 3.36 a. 5+1 b. 3+7 c. 2+(8) d. 3+(4)Ch. 3.2 - TRY IT :: 3.37 Simplify each expression: a....Ch. 3.2 - TRY IT :: 3.38 Simplify each expression: a. 55+9...Ch. 3.2 - TRY IT :: 3.39 Simplify each expression: 31+(19)Ch. 3.2 - TRY IT :: 3.40 Simplify each expression: 42+(28)Ch. 3.2 - TRY IT :: 3.41 Simplify each expression: 2+5(4+7)Ch. 3.2 - TRY IT :: 3.42 Simplify each expression: 4+2(3+5)Ch. 3.2 - TRY IT :: 3.43 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.44 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.45 When n=8, Evaluate a. n+2 b. n+2Ch. 3.2 - TRY IT :: 3.46 When y=9, evaluate a. y+8 b. y+8Ch. 3.2 - TRY IT :: 3.47 Evaluate the expression: a+2bwhen...Ch. 3.2 - TRY IT :: 3.48 Evaluate the expression: 5p+qwhen...Ch. 3.2 - TRY IT :: 3.49 Evaluate: (x+y)2when x=15and y=29.Ch. 3.2 - TRY IT :: 3.50 Evaluate: (x+y)3when x=8and y=10.Ch. 3.2 - TRY IT :: 3.51 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.52 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.53 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.54 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.55 The temperature in Chicago at 5...Ch. 3.2 - TRY IT :: 3.56 A scuba diver was swimming 16 feet...Ch. 3.2 - TRY IT :: 3.57 The Bears took possession of the...Ch. 3.2 - TRY IT:: 3.58 The Chargers began with the football...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - yIn the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - 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TRY IT :: 3.77 Simplify the expression: 8(31)9Ch. 3.3 - TRY IT :: 3.78 Simplify the expression: 12(96)14Ch. 3.3 - TRY IT :: 3.79 Simplify the expression: 629189.Ch. 3.3 - TRY IT :: 3.80 Simplify the expression: 253749Ch. 3.3 - TRY IT :: 3.81 Evaluate each expression: y7when a....Ch. 3.3 - TRY IT :: 3.82 Evaluate each expression: m3when a....Ch. 3.3 - TRY IT :: 3.83 Evaluate each expression: 17kwhen...Ch. 3.3 - TRY IT :: 3.84 Evaluate each expression: sw 5bwhen...Ch. 3.3 - TRY IT :: 3.85 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.86 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.87 The temperature in Anchorage,...Ch. 3.3 - TRY IT :: 3.88 The temperature in Denver was -6...Ch. 3.3 - TRY IT :: 3.89 One day, John hiked to the 10,023...Ch. 3.3 - TRY IT :: 3.90 The submarine Nautilus is at 340...Ch. 3.3 - TRY IT :: 3.91 Araceli has $75 in her checking...Ch. 3.3 - TRY IT :: 3.92 Genevieve’s bank account was...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - In the following exercises, simplify each...Ch. 3.3 - 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TRY IT :: 3.101 Simplify: 8(3)+5(7)4Ch. 3.4 - TRY IT :: 3.102 Simplify: 9(3)+7(8)1Ch. 3.4 - TRY IT :: 3.103 Simplify: a.(3)4 b. 34Ch. 3.4 - TRY IT :: 3.104 Simplify: a. (7)2 b.72Ch. 3.4 - TRY IT :: 3.105 Simplify: 174(811)Ch. 3.4 - TRY IT :: 3.106 Simplify: 166(713)Ch. 3.4 - TRY IT :: 3.107 Simplify: sw 12(9)(3)3Ch. 3.4 - TRY IT :: 3.108 Simplify: 18(4)(2)3Ch. 3.4 - TRY IT :: 3.109 Simplify: 273+(5)(6)Ch. 3.4 - TRY IT :: 3.110 Simplify: 324+(2)(7)Ch. 3.4 - TRY IT :: 3.111 Evaluate: 3x22x+6when x=3Ch. 3.4 - TRY IT :: 3.112 Evaluate: 4x2x5when x=2Ch. 3.4 - TRY IT :: 3.113 Evaluate: 7x+6y12when x=2and y=3Ch. 3.4 - TRY IT :: 3.114 Evaluate: 8x6y+13when x=3and y=5Ch. 3.4 - TRY IT :: 3.115 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.116 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.117 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.118 Translate to an algebraic...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - 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