Explanation Result used: Rules for ordering of operations: “1. Do all calculations within grouping symbols before operations outside. When nested grouping symbols are present, work from the inside out. 2. Evaluate all exponential expressions. 3. Do all multiplications and divisions in order from left to right. 4. Do all additions and subtractions in order from left to right”. Calculation: Consider the expression 4 ( 8 − 6 ) 2 − 4 ⋅ 3 + 2 ⋅ 8 3 1 + 19 0 . Simplify the given expression using above procedure as follows. 4 ( 8 − 6 ) 2 − 4 ⋅ 3 + 2 ⋅ 8 3 1 + 19 0 = 4 ( 2 ) 2 − 4 ⋅ 3 + 2 ⋅ 8 3 1 + 19 0 [ Solving expression inside the parentheses ] = 4 ⋅ 4 − 4 ⋅ 3 + 2 ⋅ 8 3 + 1 [

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Chapter J.9, Problem 6E

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To compute: The expression 4(8−6)2−4⋅3+2⋅831+190.

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Chapter J.9, Problem 5E

Chapter J.9, Problem 7E

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Chapter J Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. J.1 - In Exercises 1-6, consider the numbers 6, −2.45,...Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - In exercises 1–6, consider the numbers 6, −2.45,...Ch. J.1 - Prob. 5E Ch. J.1 - In Exercises 1–6, consider the numbers 6, −2.45,...Ch. J.2 - Name the property illustrated by the sentence. 1....Ch. J.2 - Prob. 2E Ch. J.2 - Prob. 3E Ch. J.2 - Prob. 4E

Ch. J.2 - Prob. 5E Ch. J.2 - Prob. 6E Ch. J.2 - Prob. 7E Ch. J.2 - Prob. 8E Ch. J.2 - Prob. 9E Ch. J.2 - Prob. 10E Ch. J.3 - Classify the inequality as true or false. 1. 9 <...Ch. J.3 - Prob. 2E Ch. J.3 - Prob. 3E Ch. J.3 - Prob. 4E Ch. J.3 - Prob. 5E Ch. J.3 - Prob. 6E Ch. J.4 - Simplify. 1. |−98| Ch. J.4 - Prob. 2E Ch. J.4 - Prob. 3E Ch. J.4 - Prob. 4E Ch. J.4 - Prob. 5E Ch. J.4 - Prob. 6E Ch. J.4 - Prob. 7E Ch. J.4 - Prob. 8E Ch. J.5 - Compute and simplify. 1. 8 − (−11) Ch. J.5 - Prob. 2E Ch. J.5 - Prob. 3E Ch. J.5 - Prob. 4E Ch. J.5 - Prob. 5E Ch. J.5 - Prob. 6E Ch. J.5 - Prob. 7E Ch. J.5 - Prob. 8E Ch. J.5 - Prob. 9E Ch. J.5 - Prob. 10E Ch. J.5 - Prob. 11E Ch. J.5 - Prob. 12E Ch. J.5 - Prob. 13E Ch. J.5 - Prob. 14E Ch. J.5 - Prob. 15E Ch. J.6 - Write interval notation. 1. {x| −5 ≤ x ≤ 5} Ch. J.6 - Prob. 2E Ch. J.6 - Prob. 3E Ch. J.6 - Prob. 4E Ch. J.6 - Prob. 5E Ch. J.6 - Prob. 6E Ch. J.6 - Prob. 7E Ch. J.6 - Prob. 8E Ch. J.6 - Prob. 9E Ch. J.6 - Prob. 10E Ch. J.7 - Prob. 1E Ch. J.7 - Prob. 2E Ch. J.7 - Prob. 3E Ch. J.7 - Prob. 4E Ch. J.7 - Prob. 5E Ch. J.7 - Prob. 6E Ch. J.7 - Prob. 7E Ch. J.7 - Prob. 8E Ch. J.7 - Prob. 9E Ch. J.7 - Prob. 10E Ch. J.8 - Prob. 1E Ch. J.8 - Prob. 2E Ch. J.8 - Prob. 3E Ch. J.8 - Prob. 4E Ch. J.8 - Prob. 5E Ch. J.8 - Prob. 6E Ch. J.8 - Prob. 7E Ch. J.8 - Prob. 8E Ch. J.9 - Calculate. 1. 3 + 18 ÷ 6 − 3 Ch. J.9 - Calculate. 2. 5 ∙ 3 + 8 ∙ 32 + 4(6 − 2) Ch. J.9 - Calculate. 3. 5(3 – 8 ∙ 32 + 4 ∙ 6 − 2) Ch. J.9 - Calculate. 4. 16 ÷ 4 ∙ 4 ÷ 2 ∙ 256 Ch. J.9 - Calculate. 5. 26 ∙2−3 ÷ 210 ÷ 2−8 Ch. J.9 - Prob. 6E Ch. J.9 - Prob. 7E Ch. J.9 - Prob. 8E Ch. J.10 - Determine the degree of the polynomial. 1. 5 − x6 Ch. J.10 - Prob. 2E Ch. J.10 - Prob. 3E Ch. J.10 - Prob. 4E Ch. J.10 - Prob. 5E Ch. J.10 - Prob. 6E Ch. J.10 - Prob. 7E Ch. J.10 - Prob. 8E Ch. J.11 - Prob. 1E Ch. J.11 - Prob. 2E Ch. J.11 - Prob. 3E Ch. J.11 - Prob. 4E Ch. J.11 - Prob. 5E Ch. J.12 - Prob. 1E Ch. J.12 - Prob. 2E Ch. J.12 - Prob. 3E Ch. J.12 - Prob. 4E Ch. J.12 - Prob. 5E Ch. J.12 - Prob. 6E Ch. J.13 - Prob. 1E Ch. J.13 - Prob. 2E Ch. J.13 - Prob. 3E Ch. J.13 - Prob. 4E Ch. J.13 - Prob. 5E Ch. J.13 - Prob. 6E Ch. J.14 - Prob. 1E Ch. J.14 - Prob. 2E Ch. J.14 - Prob. 3E Ch. J.14 - Prob. 4E Ch. J.14 - Prob. 5E Ch. J.14 - Prob. 6E Ch. J.14 - Factor the trinomial. 7. 2n2 − 20n − 48 Ch. J.14 - Prob. 8E Ch. J.14 - Prob. 9E Ch. J.14 - Prob. 10E Ch. J.14 - Prob. 11E Ch. J.14 - Prob. 12E Ch. J.15 - Prob. 1E Ch. J.15 - Prob. 2E Ch. J.15 - Prob. 3E Ch. J.16 - Factor the difference of squares. 1. z2 − 81 Ch. J.16 - Prob. 2E Ch. J.16 - Prob. 3E Ch. J.16 - Prob. 4E Ch. J.16 - Prob. 5E Ch. J.16 - Prob. 6E Ch. J.16 - Prob. 7E Ch. J.16 - Factor the sum or the difference of cubes. 8. m3 −...Ch. J.16 - Factor the sum or the difference of cubes. 9. 3a5...Ch. J.16 - Factor the sum or the difference of cubes. 10. t6...Ch. J.17 - Prob. 1E Ch. J.17 - Prob. 2E Ch. J.17 - Prob. 3E Ch. J.17 - Prob. 4E Ch. J.17 - Prob. 5E Ch. J.17 - Prob. 6E Ch. J.17 - Prob. 7E Ch. J.17 - Prob. 8E Ch. J.18 - Prob. 1E Ch. J.18 - Prob. 2E Ch. J.18 - Prob. 3E Ch. J.18 - Prob. 4E Ch. J.18 - Prob. 5E Ch. J.18 - Prob. 6E Ch. J.19 - Prob. 1E Ch. J.19 - Prob. 2E Ch. J.19 - Prob. 3E Ch. J.19 - Prob. 4E Ch. J.19 - Prob. 5E Ch. J.19 - Prob. 6E Ch. J.19 - Prob. 7E Ch. J.19 - Prob. 8E Ch. J.20 - Prob. 1E Ch. J.20 - Prob. 2E Ch. J.20 - Prob. 3E Ch. J.20 - Prob. 4E Ch. J.20 - Prob. 5E Ch. J.20 - Prob. 6E Ch. J.21 - Find the domain of the rational expression. 1. Ch. J.21 - Prob. 2E Ch. J.21 - Prob. 3E Ch. J.21 - Prob. 4E Ch. J.21 - Simplify. 5. Ch. J.21 - Simplify. 6. Ch. J.22 - Multiply or divide and, if possible, simplify. 1....Ch. J.22 - Prob. 2E Ch. J.22 - Prob. 3E Ch. J.22 - Prob. 4E Ch. J.22 - Multiply or divide and, if possible, simplify. 5....Ch. J.22 - Multiply or divide and, if possible, simplify. 6....Ch. J.23 - Add or subtract and, if possible, simplify. 1. Ch. J.23 - Prob. 2E Ch. J.23 - Prob. 3E Ch. J.23 - Prob. 4E Ch. J.23 - Add or subtract and, if possible, simplify. 5. Ch. J.23 - Add or subtract and, if possible, simplify. 6. Ch. J.24 - Simplify. 1. Ch. J.24 - Prob. 2E Ch. J.24 - Simplify. 3. Ch. J.24 - Prob. 4E Ch. J.24 - Simplify. 5. Note: b − a = −1(a − b) Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 2E Ch. J.25 - Prob. 3E Ch. J.25 - Prob. 4E Ch. J.25 - Prob. 5E Ch. J.25 - Prob. 6E Ch. J.25 - Prob. 7E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 10E Ch. J.25 - Prob. 11E Ch. J.25 - Prob. 12E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 14E Ch. J.25 - Prob. 15E Ch. J.25 - Prob. 16E Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Simplify. Assume that no radicands were formed by...Ch. J.25 - Prob. 19E Ch. J.25 - Prob. 20E Ch. J.26 - Rationalize the denominator. 1. Ch. J.26 - Rationalize the denominator. 2. Ch. J.26 - Prob. 3E Ch. J.26 - Rationalize the denominator. 4. Ch. J.26 - Prob. 5E Ch. J.26 - Prob. 6E Ch. J.26 - Prob. 7E Ch. J.26 - Rationalize the denominator. 8. Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 2E Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 4E Ch. J.27 - Convert to radical notation and, if possible,...Ch. J.27 - Prob. 6E Ch. J.27 - Prob. 7E Ch. J.27 - Prob. 8E Ch. J.27 - Prob. 9E Ch. J.27 - Prob. 10E Ch. J.27 - Simplify and then, if appropriate, write radical...Ch. J.28 - Prob. 1E Ch. J.28 - Prob. 2E Ch. J.28 - Prob. 3E Ch. J.28 - Prob. 4E Ch. J.28 - Prob. 5E

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The expression 4 ( 8 − 6 ) 2 − 4 ⋅ 3 + 2 ⋅ 8 3 1 + 19 0 .

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To compute: The expression 4(8−6)2−4⋅3+2⋅831+190.

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Chapter J Solutions