Solving Linear Equations: Distributive Property

Solve for x. 9(x + 1) = 25 + x

A. x = 2

Solve for x. 6(x - 1) = 9(x + 2)

A. x=-8

How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1

A. zero

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

B. 4

Which equation has no solution?

B. 5 + 2(3 + 2x) = x + 3(x + 1)

How many solutions exist for the given equation? (x + 12) = 4x - 1

B. one

Karissa begins to solve the equation 1/2(x-14) + 11 = 1/2x - (x-4). Her work is correct and is shown below. 1/2(x-14) + 11 = 1/2x - (x-4) 1/2x - 7 + 11 = 1/2x - x + 4 1/2x + 4 = -1/2x + 4 When she subtracts 4 from both sides, results. What is the value of ?

C. 0 (zero)

Solve for n. n + 1 = 4(n - 8)

C. n = 11

What is the value of x in the equation 2(x−3)+9=3(x+1)+x?

C. x = 0

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four"?

D. 3 - (n - 1) = (3n - 4)