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Review1Solns - Chapters 1 2 Review for Test 1 Name Practice...

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Chapters 1 & 2 Review for Test 1 Name: Practice these problems. Study your quizzes, worksheets, examples done in class, and WileyPlus homework. 1. Solve for x . Draw a real number line solution for d) and e). (a) 2( x - 1) = 16 Solution: x = 9 (b) x + 6 x - 7 = 4 Solution: x = 11 / 7 (c) 1 x + 7 = 100 Solution: x = - 6 . 99 (d) - (22 - 6 x ) 2 < 5 Solution: x < 16 / 3 (e) 3 + 3 x 3 Solution: x > 0 2. The different costs of bread at the supermarket are listed below. $1.50, $0.98, $1.49, $2.15, $1.98, $2.05 (a) Find the mean and median cost of bread. Solution: mean=$1.69; median=$1.74 (b) You can also buy a loaf of pumpernickel bread in the bakery section, but it costs $4.50. Explain how this affects the mean from part (a). Solution: $4.50 will inflate the mean, and hence the mean will not accurately represent the average cost of bread at the supermarket. 3. Given the two points (1,0) and (2,3) for each of the following equations, identify which points are solutions for that equation.
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Chapters 1 & 2 Review Page 2 (a) y = 2 x - 2 Solution: only (1,0) (b) y = x 2 - x + 1 Solution: only (2,3) 4. Write the following both in inequality notation and interval notation. (a) x is less than or equal to 5. Solution: x 5; ( -∞ , 5] (b) x is between -7 and 5 but not equal to -7 or 5. Solution: - 7 < x < 5; ( - 7 , 5) (c) x is less than 2 or greater than 10. Solution: x < 2 or x > 10; ( -∞ , 2) (10 , ) (d) x is any negative or positive number, including 0. Solution: < ; ( -∞ , ) 5. State the definition of the domain and the range of a function. Solution: The domain is the set of input values of a function.
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