Activity: Area of Shaded Regions in Terms of x
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1 Name: Period: Date: Activity: Area of Shaded Regions in Terms of The largest rectangle below has been divided into four smaller nonoverlapping rectangular regions as shown. 1. Determine and record the area of each region on the drawing below. 7 Area of Region A Area of Region B 5 Area of Region C Area of Region D. In terms of, what is the area of the largest rectangle? A = lw A = ( )( ) A = 3. Use subtraction to write an epression for the combined area of regions A and C using your epression for the area of the largest rectangle and the areas of regions B and D.. Write an epression for the area of the unshaded portion of the rectangle if the area of the shaded portion is 50 square feet. + 5 Closing the Distance: A Fleible Tutorial for TAKS 007 Region Education Service Center 00 All Rights Reserved
2 5. What is the area of the rectangle shown below? 8 y A = lw 10y A = ( )( ) A = 6. The area of the shaded portion of the rectangle is 10 3 y. Write an epression for the unshaded portion. 1 y A (unshaded) = A (largest) A (shaded) 7y A = ( )( ) ( ) A = ( ) ( ) A = 7. What is the length of the rectangle shown below? A = lw 6y Area = y 5 ( ) = l ( ) l = 8. The largest rectangle below has been divided into four smaller nonoverlapping rectangular regions. The area of each region is shown. What is the length of the largest rectangle? Region Education Service Center Closing the Distance: A Fleible Tutorial for TAKS All Rights Reserved 01
3 9. The largest rectangle below has been divided into four smaller nonoverlapping rectangular regions. The area of each region is shown. Determine the length and width of the largest rectangle The trinomial represents the area of a rectangle. If the binomial 5 represents the width of the rectangle, what binomial would represent the length of the rectangle? 11. The length of a rectangle is and its width is. Write an epression that represents the area of the rectangle then raise the area to the 5 th power. Closing the Distance: A Fleible Tutorial for TAKS 007 Region Education Service Center 0 All Rights Reserved
4 Name: Period: Date: Activity: Area of Regions 1. The largest rectangle below is divided into two smaller rectangular regions. The area of the unshaded region is 5 square inches. Write an epression that represents the area of the shaded portion of the largest rectangle. ( ) inches (3 + 3) inches. The largest rectangle below is divided into three smaller rectangular regions. The area of each shaded region is 15 square inches. Write an epression that represents the area of the unshaded portion of the largest rectangle. 6mn 3 inches 7m n inches 3. The largest rectangle below is divided into a square and a smaller rectangular region. The area of the unshaded region is 1 square inches. Write an epression that represents the area of the largest rectangle. (a 3) inches 007 Region Education Service Center Closing the Distance: A Fleible Tutorial for TAKS All Rights Reserved 03
5 . What is the area of a rectangle with a length of 9 ab 3 units and width of ab units? 5. What is the area of a rectangle with a length of 3 + units and width of units? 6. The area of a rectangle is 10 y square units. If the length of the rectangle is 5 y units, how many units wide is the rectangle? 7. The trinomial represents the area of a rectangle. If the binomial 3 + represents the length of the rectangle, what binomial would represent the width of the rectangle? 8. The area of a square is 10. What is the length of one side of the square? 9. Simplify the epression ( ) a 6. Closing the Distance: A Fleible Tutorial for TAKS 007 Region Education Service Center 0 All Rights Reserved
6 Name: Period: Date: Evaluate: Area Models 1 Which epression best represents the area of the rectangle below? + 3 Joseph was asked to find an epression that is equivalent to 8. Which of the following is equivalent to 8? + 6 A ( ) B ( ) A + 8 C ( ) B C + 6 D ( ) 6 D The area of a rectangle is 7 y. If 3 the width of the rectangle is 8y, what is the length of the rectangle? The area of the shaded portion of the largest rectangle is 80 square feet. + 7 A 3 9 y B C 3 9 y 9 y How can the area of the unshaded portion be epressed in terms of? D 9 y A B 7 80 C 80 D Region Education Service Center Closing the Distance: A Fleible Tutorial for TAKS All Rights Reserved 05
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Determine whether the relation represents a function. If it is a function, state the domain and range. 1) {(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
MAC 1 Review for Eam Name Determine whether the relation represents a function. If it is a function, state the domain and range. 1) {(-3, ), (-, ), (0, 1), (, ), (, 17)} ) {(19, -), (3, -3), (3, 0), (1,