Equivalent Expressions Worksheets Grade 7

1. Emma is organizing a charity run and needs to calculate the total distance covered by all participants. There are 245 runners, and each runner completes 3.2 kilometers. If the charity donates $1.50 for every kilometer run, how much money will be raised in total?
2. Isabella draws a rectangular prism on a coordinate grid with vertices at (0,0,0), (9,0,0), (9,12,0), (0,12,0), (0,0,15), (9,0,15), (9,12,15), and (0,12,15). She then creates a new expression for the total surface area of the prism by expanding 2(9*12 + 9*15 + 12*15). Which of the following expressions is equivalent to the total surface area? A) 2*9*12 + 2*9*15 + 2*12*15 B) 2*9 + 2*12 + 2*15 C) 9*12 + 9*15 + 12*15 D) 2(9*12) + 2(9*15) + 2(12*15)
3. Rewrite 9(2x + 7) - 5(3x - 4) in simplest form.

…and 4 more problems

1. 8(2x - 9) + 5x = ?
2. A school is planning a field trip and needs to transport 245 students. Each school bus can carry 42 students, and each minivan can carry 8 students. If the school wants to use exactly 9 vehicles in total, how many buses and how many minivans should they use?
3. Mason draws a rectangle on a coordinate plane with vertices at (2, 7), (17, 7), (17, 12), and (2, 12). He then draws a smaller rectangle inside it with vertices at (7, 9), (12, 9), (12, 12), and (7, 12). Write an expression in expanded form for the area of the shaded region (the larger rectangle minus the smaller rectangle). Then, factor that expression completely.

…and 5 more problems

1. Rewrite 6(2x + 1) + 4x in simplest form.
2. Sophia draws a rectangle on a coordinate grid with vertices at (1, 6), (11, 6), (11, 16), and (1, 16). She then shades the region inside the rectangle but outside a smaller rectangle with vertices at (1, 6), (6, 6), (6, 16), and (1, 16). Write an expression for the area of the shaded region in two different equivalent forms: one expanded and one factored. Then determine the area of the shaded region.
3. Rewrite 7(3x + 9) - 2(4x - 5) in simplest form.

…and 5 more problems