Distributive Property / Combining Like Terms Word Problems

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Distributive Property / Combining Like Terms Word Problems Review: 1. 2(x + 4 ) = 2. 3 ( y – 3 ) = 3. –(a +b- 5 ) +( 3a -2b ) =

Distributive Property/Combining Like Terms Word Problems Hints: Area of a rectangle = lw Area of a triangle = bh/2 Perimeter → add up all sides Examples: 1. Find the perimeter of a rectangle that has a width of x units and a length of x + 5 units.

Distributive Property/ Combining Like Terms Word Problems X + 5 Solution: x + x + 5+x + x + 5= Answer : 4x + 10 units x Who can solve the same problem using this formula: p= 2l + 2 w

Distributive Property / Combining Like Terms Word Poblems 2. A rectangle has a length of 5 meters and a width of x + 7 meters. Find its area. 5 Solution : a = 5 ( x + 7 ) Answer : 5x + 35 m² X + 7

Distributive Property/ Combining Like Terms Word Problems 3. A triangle has a base of 3 yards and a height of x – 6 yards. What will be its area? X- 6 3 Solution : a = 3 ( x -6 ) / 2 Answer : 3x -18 / 2

Distributive Property/ Combining Like Terms Word Problems 4. Find the perimeter of a rectangle that has a width of y -3 units and a length of 2y units. Y - 3 Solution: Answer: 2y

Distributive Property/ Combining Like Terms Word Problems 5.Find the perimeter of the figure below: 2b + 3 Solution: Answer: b+2 b+2 3b + 1 3b + 1

Distributive Property/ Combining Like Terms Word Problems 6. An equilateral triangle has a side of 3x-10 feet long. Find its perimeter. Draw the figure and solve.

Distributive Property/ Combining Like Terms Word Problems 7. A stop sign is in the shape of an octagon. Find the perimeter if each side is 2a + 1 units. Draw the figure and solve.

Distributive Property / Combining Like Terms Word Problems 8.Find the area of a triangle that has a base of 4 and a height of m + 2 . Draw the figure and solve.

Distributive Property/ Combining Like Terms Word Problems 9. Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x-4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two areas?