AlgebraVery hardValue at zero from a constant step
Algebra practice question
The linear function f satisfies f(x + 1) − f(x) = −3 for every value of x, and f(4) = 10. What is the value of f(0)?
Answer: 22
The slope is −3, so going back 4 units from x = 4 raises the value by 12: f(0) = 10 + 12 = 22.
Common wrong answers
- If you answered 7
- 7 steps back only once.
- If you answered 13
- 13 steps back once with the sign reversed.
- If you answered -2
- −2 subtracts 12 instead of adding; the function increases as x decreases.
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.