Solving Linear Equations: Distributive Property: Quiz

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

A. x=2

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)

Solve for n. 11(n - 1) + 35 = 3n

B. n=-3

How many solutions exist for the given equation? 1/2(x + 12) = 4x - 1

B. one

Solve for x. 5(x - 10) = 30 - 15x

B. x=4

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

C. 0

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

C. n=11

How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) - 2

D. infinitely many