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

2. 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.

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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.

9. 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.

10. 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.

11. 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?