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Combining like terms and distributive property Answer Key

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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
Final Question
When is your graded assignment? Tomorrow