Problem 1SP Problem 2SP: Skill Practice a. Write the set represented by the graph in interval notation and set-builder... Problem 3SP Problem 4SP Problem 5SP: Skill Practice Use the definition of absolute value to rewrite each expression without absolute... Problem 6SP: Skill Practice
6. Write an absolute value expression that represents the distance between –9 and 2... Problem 7SP: Skill Practice
7. Simplify.
Problem 8SP: Skill Practice
8. Apply the distributive property.
a.
b.
Problem 9SP: Skill Practice Clear parentheses and combine like terms. a. 123(5x2y)+5(3x)y b. 4w3[314(4+8w3)w3]+2 Problem 10SP: Skill Practice
10. a. The sale price S on a lawn mover is the difference of the original price P and... Problem 1PE: A (n) ________ is a collection of items called elements. Problem 2PE: =,3,2,1,0,1,2,3, is called the set of ________________. Problem 3PE: is the notation used to denote the set of __________ __________. Problem 4PE: 4. A (n) _______ number is a real number that cannot be expressed as a ratio of two integers.
Problem 5PE: Write an absolute value expression to represent the distance between a and b on the real number... Problem 6PE: 6. The _________ Properties of addition and multiplication indicate that the order in which two real... Problem 7PE: The associative property of addition indicates that a+b(b+c)= ________, and the associative property... Problem 8PE: 8. The statement represents the _________ property of multiplication over addition.
Problem 9PE: For Exercises 9-10, write an English sentence to represent the algebraic statement.
9. a.
b.
Problem 10PE: For Exercises 9-10, write an English sentence to represent the algebraic statement. a. 25 b. Problem 11PE: For Exercises 11-12, determine whether the statement is true or false a. 5 b. 5W c. 5 d. 5 Problem 12PE: For Exercises 11-12, determine whether the statement is true or false
12. a.
b.
c.
d.
Problem 13PE: 13. Refer to . Determine which elements belong to the given set. (See Example... Problem 14PE Problem 15PE: For Exercises 15-20, write each statement as an inequality.
15. a is at least 5.
Problem 16PE: For Exercises 15-20, write each statement as an inequality. b is at most 6. Problem 17PE: For Exercises 15-20, write each statement as an inequality.
17. 3c is no more than 9.
Problem 18PE: For Exercises 15-20, write each statement as an inequality.
18. 8d is no less than 16.
Problem 19PE: For Exercises 15-20, write each statement as an inequality.
19. The quantity exceeds 70.
Problem 20PE: For Exercises 15-20, write each statement as an inequality. The quantity (n7) is approximately equal... Problem 21PE: For Exercises 21-28, determine whether the statement is true or false. 3.14 Problem 22PE: For Exercises 21-28, determine whether the statement is true or false.
22.
Problem 23PE: For Exercises 21-28, determine whether the statement is true or false. 6.76.7 Problem 24PE: For Exercises 21-28, determine whether the statement is true or false.
24.
Problem 25PE: For Exercises 21-28, determine whether the statement is true or false.
25.
Problem 26PE: For Exercises 21-28, determine whether the statement is true or false. 2.932.93 Problem 27PE: For Exercises 21-28, determine whether the statement is true or false. 97118 Problem 28PE: For Exercises 21-28, determine whether the statement is true or false.
28.
Problem 29PE Problem 30PE Problem 31PE Problem 32PE Problem 33PE Problem 34PE Problem 35PE: For Exercises 35-40, graph the given set and write the corresponding interval notation. (See Example... Problem 36PE Problem 37PE: For Exercises 35-40, graph the given set and write the corresponding interval notation. (See Example... Problem 38PE: For Exercises 35-40, graph the given set and write the corresponding interval notation.(See Example... Problem 39PE Problem 40PE: For Exercises 35-40, graph the given set and write the corresponding interval notation. (See Example... Problem 41PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 42PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 43PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 44PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 45PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 46PE: For Exercises 41-46, interval notation is given for several sets of real numbers. Graph the set and... Problem 47PE Problem 48PE Problem 49PE Problem 50PE Problem 51PE Problem 52PE Problem 53PE: For Exercises 53-56, find the union or intersection of the given intervals. Write the answers in... Problem 54PE: For Exercises 53-56, find the union or intersection of the given intervals. Write the answers in... Problem 55PE: For Exercises 53-56, find the union or intersection of the given intervals. Write the answers in... Problem 56PE: For Exercises 53-56, find the union or intersection of the given intervals. Write the answers in... Problem 57PE: For Exercises 57-68, simplify each expression by writing the expression without absolute value bars.... Problem 58PE: For Exercises 57-68, simplify each expression by writing the expression without absolute value bars.... Problem 59PE Problem 60PE Problem 61PE: For Exercises 57-68, simplify each expression by writing the expression without absolute value bars.... Problem 62PE Problem 63PE: For Exercises 57-68, simplify each expression by writing the expression without absolute value bars.... Problem 64PE Problem 65PE Problem 66PE Problem 67PE Problem 68PE: For Exercises 57-68, simplify each expression by writing the expression without absolute value bars.... Problem 69PE: For Exercises 69-74, write an absolute value expression to represent the distance between the two... Problem 70PE: For Exercises 69-74, write an absolute value expression to represent the distance between the two... Problem 71PE: For Exercises 69-74, write an absolute value expression to represent the distance between the two... Problem 72PE Problem 73PE: For Exercises 69-74, write an absolute value expression to represent the distance between the two... Problem 74PE: For Exercises 69-74, write an absolute value expression to represent the distance between the two... Problem 75PE: For Exercises 75-88, simplify the expressions, (See Example 7) a. 42 b. (4)2 c. 42 d. 4 e. 4 f. 4 Problem 76PE: For Exercises 75-88, simplify the expressions, (See Example 7) a. 92 b. (9)2 c. 92 d. 9 e. 9 f. 9 Problem 77PE: For Exercises 75-88, simplify the expressions, (See Example 7)
77. a.
b.
c.
d.
e.
f.
Problem 78PE: For Exercises 75-88, simplify the expressions, (See Example 7)
78. a.
b.
c.
d.
e.
f.
Problem 79PE: For Exercises 75-88, simplify the expressions, (See Example 7) 2012(36322) Problem 80PE: For Exercises 75-88, simplify the expressions, (See Example 7)
80.
Problem 81PE: For Exercises 75-88, simplify the expressions, (See Example 7)
81.
Problem 82PE: For Exercises 75-88, simplify the expressions, (See Example 7) 5{46[(28)231]} Problem 83PE: For Exercises 75-88, simplify the expressions, (See Example 7)
83.
Problem 84PE: For Exercises 75-88, simplify the expressions, (See Example 7) 6[(13)2(12)2] Problem 85PE: For Exercises 75-88, simplify the expressions, (See Example 7) 9(6+||37|8|)25 Problem 86PE: For Exercises 75-88, simplify the expressions, (See Example 7)
86.
Problem 87PE: For Exercises 75-88, simplify the expressions, (See Example 7) |1113|42122+52310 Problem 88PE: For Exercises 75-88, simplify the expressions, (See Example 7)
88
Problem 89PE: For Exercises 89-92, apply the commutative property of addition.
89.
Problem 90PE: For Exercises 89-92, apply the commutative property of addition.
90.
Problem 91PE: For Exercises 89-92, apply the commutative property of addition.
91.
Problem 92PE: For Exercises 89-92, apply the commutative property of addition.
92.
Problem 93PE: For Exercises 93-96, apply the associative property of addition or multiplication. Then simplify if... Problem 94PE Problem 95PE Problem 96PE: For Exercises 93-96, apply the associative property of addition or multiplication. Then simplify if... Problem 97PE: For Exercises 97-102, combine like terms.
97.
Problem 98PE Problem 99PE Problem 100PE: For Exercises 97-102, combine like terms.
100.
Problem 101PE Problem 102PE: For Exercises 97-102, combine like terms. 110yz434y4z+yz4+32y4z Problem 103PE: For Exercises 103-108, apply the distributive property. (See Example 8)
103.
Problem 104PE Problem 105PE: For Exercises 103-108, apply the distributive property. (See Example 8) 8(3x2+2x1) Problem 106PE Problem 107PE: For Exercises 103-108, apply the distributive property. (See Example 8) 23(6x2y18yz2+2z3) Problem 108PE: For Exercises 103-108, apply the distributive property. (See Example 8) 34(12p5q8p4q26p3q) Problem 109PE: For Exercises 109-116, simplify each expression. (See Example 9)
109.
Problem 110PE: For Exercises 109-116, simplify each expression. (See Example 9) 3(2z4)+8(z9)+84 Problem 111PE: For Exercises 109-116, simplify each expression. (See Example 9) (4u8v)3(7u2v)+2v Problem 112PE: For Exercises 109-116, simplify each expression. (See Example 9) (10xz)2(8x4z)3x Problem 113PE: For Exercises 109-116, simplify each expression. (See Example 9)
113.
Problem 114PE Problem 115PE Problem 116PE Problem 117PE: 117. Jake is 1 yr younger than Charlotte.
a. Write a model for Jake’s age j in terms of Charlotte’s... Problem 118PE Problem 119PE: At the end of the summer, a store discounts an outdoor grill for at least 25% of the original price.... Problem 120PE Problem 121PE Problem 122PE: The height of a sunflower plant can be determined by the time t in weeks after the seed has... Problem 123PE: A power company charges one household $0.12 per kilowatt-hour (kWh) and $14.89 in monthly taxes. a.... Problem 124PE Problem 125PE: The cost C (in $) to rent an apartment is $640 per month, plus a $500 nonrefundable security... Problem 126PE Problem 127PE Problem 128PE: A hotel charges $149 per night plus a 16% nightly room tax. In addition, there is a one-time parking... Problem 129PE: For Exercises 129-134, evaluate each expression for the given values of the variables.
129.
Problem 130PE: For Exercises 129-134, evaluate each expression for the given values of the variables.... Problem 131PE Problem 132PE Problem 133PE Problem 134PE Problem 135PE: 135. Under selected conditions, a sports car gets 15 mpg in city driving and 25 mpg for highway... Problem 136PE Problem 137PE: When is a parenthesis used when writing interval notation? Problem 138PE Problem 139PE: 139. Explain the difference between the commutative property of addition and the associative... Problem 140PE Problem 141PE Problem 142PE Problem 143PE Problem 144PE Problem 145PE: 145. If
Problem 146PE: If n0,then|n|=. Problem 147PE Problem 148PE: For Exercises 147-150, determine the sign of the expression. Assume that a, b, and c are real... Problem 149PE Problem 150PE Problem 151PE Problem 152PE Problem 153PE Problem 154PE Problem 155PE: For Exercises 155-158, use a calculator to approximate the expression to 2 decimal places.
155.
Problem 156PE: For Exercises 155-158, use a calculator to approximate the expression to 2 decimal places.... Problem 157PE Problem 158PE: For Exercises 155-158, use a calculator to approximate the expression to 2 decimal places.
158.
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