Solving Linear Equations: Distributive Property
Exam/ Questions with Certified Answers/
2024-2025.
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1 - Answer: one
Karissa begins to solve the equation 1/2x (x - 14) + 11 = 1/2x - (x - 4).
Her work is correct and is shown below.
Page 1 of 5
, When she subtracts 4 from both sides, 1/2x = -1/2x results. What is the
value of x? - Answer: 0
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x -2)? -
Answer: 4
How many solutions exist for the given equations?
12x + 1 = 3(4x + 1) -2 - Answer: infinitely many
Solve for x.
9(x + 1) = 25 + x - Answer: x = 2
Which equation has no solution? - Answer: 5 + 2(3 + 2x) = x + 3(x + 1)
Solve for n.
n + 1 = 4(n - 8) - Answer: n = 11
Page 2 of 5
Exam/ Questions with Certified Answers/
2024-2025.
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1 - Answer: one
Karissa begins to solve the equation 1/2x (x - 14) + 11 = 1/2x - (x - 4).
Her work is correct and is shown below.
Page 1 of 5
, When she subtracts 4 from both sides, 1/2x = -1/2x results. What is the
value of x? - Answer: 0
What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x -2)? -
Answer: 4
How many solutions exist for the given equations?
12x + 1 = 3(4x + 1) -2 - Answer: infinitely many
Solve for x.
9(x + 1) = 25 + x - Answer: x = 2
Which equation has no solution? - Answer: 5 + 2(3 + 2x) = x + 3(x + 1)
Solve for n.
n + 1 = 4(n - 8) - Answer: n = 11
Page 2 of 5
