### Combining like terms and distributive property Answer KeyPlay This Game

 Definitions #1 Terms that have identical variable parts are called ______ Like terms #2 The _____ of a term that has a variable is the number part of the term Coefficient #3 A term that has a number, but no variable, is a ______ Constant term #4 Identify the coefficients: -2x + 3x - 7 -2 and 3 #5 Identify the constant terms: -5 + 4x - 2y - 6 -5 and -6
 Combining Like Terms #1 5x + 2x - 3 7x - 3 #2 -2x + 3x - 4 - 2 x - 6 #3 -5 + y - 6 + 3x - 5x -11 + y - 2x #4 -4y + 2x + 7y - 1 3y + 2x - 1 #5 7n - x + 4x + 3n - 2 10n + 3x - 2
 Distributive Property #1 2(x + 3) 2x + 6 #2 -3(n - 5) -3n + 15 #3 z - 3(z + 1) -2z - 3 #4 2x + 4(x + y - 5) + x 7x + 4y - 20 #5 2 - x(3 + y) - 6x -9x - xy + 2
 Solve for x #1 2x - 3x + 2 = 4 x = -2 #2 3(x + 2) = 18 x = 4 #3 -2(x - 4) - x = 23 x = -5 #4 3 + 5(x - 4) = 33 x = 10 #5 2(x - 4) - 4(x + 2) = 18 x = -15
 Word Problems #1 Write and simplify an expression for the perimeter of a rectangle with length of x + 5 and width of x. 4x + 10 #2 A rectangular sheet of plywood is three times longer than it is wide. Write and simplify an expression for the perimeter of the rectangle in terms of the width w. 8w #3 The height of a triangle is 8. The base is x + 2. The area is 88. Solve for x. x = 20 #4 The length of a rectangle is x + 3. The width is x + 5. The perimeter is 52. Solve for x. x = 9 #5 The area of a rectangle is 55. The length is x + 3. The width is 5. Solve for x and find the length. x = 8 and length = 11