AlgebraVery hardIntercept of a linear function whose value doubles over an interval
Algebra practice question
The graph of a linear function f passes through the point (2, 5), and f(4) is twice f(2). What is the value of f(0)?
Answer: 0
f(4) = 10, so the slope is (10 − 5)/(4 − 2) = 5/2. Then f(0) = 5 − 2(5/2) = 0.
Common wrong answers
- If you answered 5
- 5 is f(2), not f(0).
- If you answered 2.5
- 2.5 is the slope.
- If you answered -5
- −5 comes from subtracting the slope four times.
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.