AlgebraMediumLinear function value from a table with a gap
Algebra practice question
A linear function h has h(5) = 7 and h(9) = −5. What is h(0)?
Answer: 22
Slope = (−5 − 7)/(9 − 5) = −12/4 = −3. From h(5) = 7 back to x = 0 is 5 steps up the line: h(0) = 7 + 5(3) = 22.
Common wrong answers
- If you answered 12
- 12 is the drop in output between the two given points.
- If you answered -8
- −8 comes from going the wrong direction: 7 − 15.
- If you answered -3
- −3 is the slope, not h(0).
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.