CombiningLikeTermsworksheet

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1. 7x 2 - 5x + 10x - 8x 2 2. - 6a 3 + 5a 3 + 2a 2 - a 2 3. - 4(x + 5) - 5(x - 1) 4. - a + 5b - 6a + 5(a + 1) 5. 18x 4 - 3x 3 - 2x 3 + x 2 - 10 + 6 Name: ___________________________ Directions: Simplify each algebraic expression by combining like terms. . Show all work. Continue on the following page. Answer the following questions showing all your work. Combining Like Terms b. What is the perimeter of the figure in part ( a ) if x = 4 ? b. What is the perimeter of the figure in part ( a ) if x = 4 ? 7. Use the following figure to answer questions a - Use the following figure to answer questions a - Use the following figure to answer questions a - d . a. Find the perimeter of the figure if the following is true: Find the perimeter of the figure if the following is true: Find the perimeter of the figure if the following is true: a = x + 7 a = x + 7 a = x + 7 b b b = 2x = 2x = 2x + 2 + 2 + 2 c c = 8x = 8x = 8x d = x + 10 d = x + 10 d = x + 10 b. What is the perimeter of the figure in part ( a ) if x = 4 ?
d . Find the perimeter of the figure if the following is true: a = x 2 b = 4x + 8 c = 2x 2 d = x c . What is the perimeter of the figure in part ( a ) if x = 2 ? Continue on the following page. a. Volume is defined as V = l (w)(h) . Find the volume of the first box. 8. Your family is moving and is gathering boxes for the move. Two of the boxes are shown below. Use the image to answer questions a - e. b. Find the volume of the second box. c. What is the volume of the two boxes together? d. If x = 6 , what is the volume of the two boxes together?
e. The volume of the first box is doubled and the volume of the second box is tripled. Find the volume of the two boxes together. 9. Suppose a square garden represented by 16x 2 ft 2. a. What is the length of each side? b. What is the perimeter of the garden? c. If each side was increased by 5 feet what would be the new perimeter?
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