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1 Student: Date: Instructor: Ray Brown Course: M055 Sum7 CAI 0054 G4 Assignment: ch4rev HW. Click the link below to watch a video reviewing concepts in this chapter. You are encouraged to watch the video and work problems with the instructor to help ensure your understanding of the material. Chapter 4 review video True I understand the concepts. False I am not understanding the concept and intend to seek assistance. : Answer: True I understand the concepts. 2. Find any values of the variable that make the expression undefined. y 5 5 The values of the variable that make the expression undefined are and A.. (Simplify your answer. Type an integer or a simplified fraction.) B. There are no values of the variable that will make the expression undefined. Answer: B. There are no values of the variable that will make the expression undefined. 3. Find any values of the variable that make the expression undefined. 4z z 2 4 Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The values that would make the expression undefined are and. (Type an integer or a fraction.) B. There are no values of the variable that would make the expression undefined. Answer: A. The values that would make the expression undefined are 2 and 2. (Type an integer or a fraction.) /8

2 4. If possible, evaluate the expression for the given value of the variable. 4z, z z Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The expression is equal to. (Type an integer or a fraction.) B. The expression is undefined. Answer: B. The expression is undefined. 5. If possible, evaluate the expression for the given value of the variable. 4 x, x 4 x 4 A. The answer is. B. The answer is undefined. Answer: A. The answer is. 6. Simplify the expression. x 2 4x 9x 36 x 2 4x 9x 36 (Simplify your answer. Use integers or fractions for any numbers in the expression.) Answer: x 9 7. Multiply and simplify to lowest terms. x 2 x x 2 x x 2 x x 2 x (Type your answer in factored form.) Answer: x(x ) x 2 2/8

3 8. Multiply and simplify to lowest terms. Leave your answer in factored form. y 2 4y y 5 y 2 25 y 4 y 2 4y y 5 y 2 25 y 4 (Simplify your answer. Type your answer in factored form.) Answer: y y 5 9. Divide and simplify to lowest terms. Leave your answer in factored form. t 2 64 t 8 t t 2 64 t 8 t (Simplify your answer. Type your answer in factored form.) Answer: 3(t 8) t Simplify to lowest terms. z 0z 3 z 0z 3 z 0z 3 z 0z 3 Answer: 0z 0z 3. Simplify to lowest terms. 6x 9 2x 2 3x 84 5x 5 2x 2 3x 84 6x 9 2x 2 3x 84 5x 5 2x 2 3x 84 Answer: 2x 2 3/8

4 2. Find the least common multiple (LCM). 2 x 9x, x 2 The LCM is Answer: 2 x (x 9) 3. Simplify the expression. 5x 3 4x 5x 3 4x (Simplify your answer. Use integers or fractions for any numbers in the expression.) Answer: 9 20x 4. Simplify the expression. Write your answer in lowest terms and leave it in factored form. 2x 4 x 2 2x 4 x 2 Answer: 3 2(x 2) 5. Simplify the expression. Write your answer in lowest terms and leave it in factored form. 2y y(3y ) 3y 2y y(3y ) 3y Answer: 3 3y 4/8

5 6. Perform the indicated operations. 2x x 4 64 x 2 6 2x x 4 64 x 2 6 2x x 4 2x x 4 (Simplify your answer. Type your answer in factored form.) Answer: 6 x 4 7. Simplify the complex fraction. r t 2r t r t 2r t (Type an integer or a simplified fraction.) Answer: 2 8. Simplify the complex fraction. 3 4x x 3 3 4x x 3 Answer: 5x 8 5/8

6 9. Simplify the complex fraction. 9 4x 5 y 5 y 9 4x 9 4x 5 y 5 y 9 4x (Simplify your answer.) Answer: 20x 9y 20x 9y 20. Solve and check your answer. 7x 7x 8 8 7x 8 A. The solution is x Answer: 2. Solve and check your answer. 3x 8 x 4 A. The solution is x Answer: A. The solution is x 8 6/8

7 22. Solve and check your answer x 0 00 x 2 A. The solution is x Answer: A. The solution is x Solve. 7 x x Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The solution is x. (Simplify your answer. Type an integer or a fraction.) 78 Answer: A. The solution is x.(simplify your answer. Type an integer or a fraction.) 24. Solve and check your answer x 3 x 3 A. The solution(s) is(are) x. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) Answer: A. The solution(s) is(are) x 2. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) 7/8

8 25. Solve and check your answer. 3 4 x x 8 x 2 Select the correct choice below and fill in any answer boxes in your choice. A. The solution is x. (Use a comma to separate answers as needed.) Answer: 8/8

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