Algebra practice question

Answer: A. 3(x + 2) = 3x + 5

3x + 6 = 3x + 5 reduces to 6 = 5, which is false for every x.

Why the other answers are wrong

B. 3(x + 2) = 3x + 6

3x + 6 = 3x + 6 is true for every x — infinitely many solutions.

C. 3(x + 2) = 2x + 6

3x + 6 = 2x + 6 gives x = 0, one solution.

D. 3(x + 2) = 5x + 6

3x + 6 = 5x + 6 gives x = 0, one solution.

More Algebra questions

• Very hard
  For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution?
• Very hard
  In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y?
• Very hard
  The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is …
• Very hard
  The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0…
• Very hard
  In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies …
• Very hard
  In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…