Expression Properties Worksheets Grade 6

1. Noah is helping his school's gardening club create rectangular flower beds. The club has a rectangular plot that is 18 meters long and 12 meters wide. They want to divide the plot into two smaller rectangular sections by placing a fence parallel to the width. One section will be 7 meters long, and the other will be 11 meters long. Noah needs to write an expression for the total area of the plot using the distributive property. If he writes the area as 18 × 12, which equivalent expression using the distributive property shows the sum of the areas of the two sections? Write your answer in the form a(b + c).
2. Liam is designing a rectangular garden for his school's community project. The garden's length is 3.5 times its width. If the total area of the garden is 126 square meters, what is the width of the garden in meters?
3. Olivia draws a diagram of a rectangular swimming pool that is divided into two sections: a shallow end and a deep end. The entire pool has a width of 15 meters. The length of the shallow end is 25 meters, and the length of the deep end is represented by the variable x meters. Using the distributive property, write an equivalent expression for the total area of the pool in square meters.

…and 3 more problems

1. Emma is organizing a school craft fair. She has 13 identical tables that she needs to arrange in rows. She decides to set up 7 tables in the first row and the rest in the second row. To find the total number of chairs needed, she multiplies the number of tables by 9 chairs per table. Write an equivalent expression using the distributive property to represent the total number of chairs.
2. Liam is designing a rectangular garden for his school's community project. The garden's length is 15.2 meters and its width is 8.6 meters. He needs to install a decorative fence around the entire perimeter and cover the garden area with special soil. How many meters of fencing does Liam need to purchase?
3. Use the distributive property to rewrite: 6(11x + 16) = ?

…and 3 more problems

1. Hana draws a rectangular prism with dimensions: length = 12 cm, width = 6 cm, and height = 4 cm. She then draws a net of the prism. Use the distributive property to write an equivalent expression for the total surface area of the prism, and then calculate the area.
2. Use the distributive property to rewrite: 12(2x + 5) = ?
3. Olivia is organizing a school art fair and needs to create an equivalent expression for the total cost of supplies. She buys 7 boxes of paint brushes, each costing (3p + 5) dollars, where p represents the price of a single paintbrush in dollars. Olivia remembers that she can use the distributive property to rewrite the total cost expression in a different form. What is the equivalent expression for the total cost of the paint brushes using the distributive property?

…and 4 more problems