AlgebraVery hardEquation with exactly one solution
Algebra practice question
Which of the following equations has exactly one solution?
- A. 4(x + 1) = 2x + 4Correct
- B. 4(x + 1) = 4x + 4
- C. 4(x + 1) = 4x + 1
- D. 4(x + 1) = 4x − 4
Answer: A. 4(x + 1) = 2x + 4
4x + 4 = 2x + 4 gives 2x = 0, x = 0: one solution.
Why the other answers are wrong
- B. 4(x + 1) = 4x + 4
- 4x + 4 = 4x + 4 is true for every x.
- C. 4(x + 1) = 4x + 1
- 4x + 4 = 4x + 1 is never true.
- D. 4(x + 1) = 4x − 4
- 4x + 4 = 4x − 4 is never true.
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…
Not affiliated with the College Board. SAT is a trademark of the College Board.